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" """""* "2$":("B,"J0"R4"Z8"b<"j@"rD"zH"L"P"T"X"\"`"d"h"l"p"t"x"|"""## #䜀R`pBPDljn <*>.26:>BnF$JN*R VbZ^ bPflfP`*T̀|tRp Ú¤ jUSetOpen Problem SetSave Problem Set ASNew Problem SetUndo DeleteUndo CLEARRedo StepDelete Step Clear Steps CLEARProbNew ProblemEdit ProblemInsert ProblemCut ProblemCopy ProblemPaste ProblemDelete ProblemsTransCtrlNext ProblemPrevious ProblemGo To Problem ?GoalHintApplication HelpSubexpr Selection HelpApplyInfoMain VariableOther VariablesVariablesDomainFunctionsSubstitutionsConstraintsRewrite STOSubstitute SBack Substitute BApproximate ENTERDiscriminantVerify Solution VHint:Press F2:1 to enter new problem.PSolve forPress SimplifyMonomialPolynomialRationalRadicalLog & ExponentialLog & ExpTrigonometricDifference QuotientDiff QuotExpressionExpandSolveLinear EqnQuadratic EqnRational EqnRadical EqnLog & Exponential EqnTrigonometric EqnEquationSolve SystemSystem of Linear EqnsComputeLimitDerivativeDefinite IntegralIndefinite IntegralOtherAxioms & LawsFactorIdentityDefineNEW PROBLEMPress F1-F5 to select problem type.SIMPLIFY MONOMIALSIMPLIFY POLYNOMIALSIMPLIFY RATIONALSIMPLIFY RADICALSIMPLIFY LOGS AND EXPONENTIALSSIMPLIFY TRIGONOMETRICSIMPLIFY DIFFERENCE QUOTIENTSIMPLIFY EXPRESSIONEXPAND LOGS AND EXPONENTIALSEXPAND TRIGONOMETRICEXPAND EXPRESSIONSOLVE LINEAR EQNSOLVE QUADRATIC EQNSOLVE RATIONAL EQNSOLVE RADICAL EQNSOLVE LOG & EXPONENTIAL EQNSOLVE TRIGONOMETRIC EQNSOLVE EQNSOLVE SYSTEM OF LINEAR EQNSCOMPUTE LIMITCOMPUTE DERIVATIVECOMPUTE DEFINITE INTEGRALCOMPUTE INDEFINITE INTEGRALAXIOMS & LAWSFACTORIDENTITYType in EXPRType in EQN,EXPRType in EQN and EXPR,{VAR,VAR}Type in EXPR,VAR,POINT[,DIRECTION]Type in EXPR,VARType in EXPR,VAR,LOW,UPExample: Type: solve forTIME TO THINK ModeREVIEW ModeSHOW CONSTRAINTS ModeDelete:From:To:CurrentAllRangeSELECT TRANSFORMATIONTo put expression in simplest form: only positive exponents, no base appears more than once.To write the polynomial in standard form.To write the rational expression, as a ratio of polynomials in simplest form, with no common factors in the numerator and denominator.To write the radicand of without square factors and without fractions.Logarithmic:Exponential:Logarithmic and Exponential:To write the expression so that none of the transformations listed apply:To write the expression in simplest form: only positive exponents, no base appears more than once.To write the expression in compact form using transformations such as sin(a)cos(b)+sin(b)cos(a)  sin(a+b), which reduce the size of the expression.To remove factor of ? from the denominator and simplify.To write the expression in expanded form using transformations such as sin(a+b)  sin(a)cos(b)+sin(b)cos(a), which increase the size of the expression.To find, if possible, the form ? = expression without ? and simplify.To find, if possible, the form ?=expr1 or ?=expr2, where expr1 and expr2 are expressions without ? and are simplifed.To find all expressions without ? which satisfy the original equation.Apply derivative formulas to remove all indicated derivatives (and then simplify).Apply integral formulas to remove all indicated integrals (and then simplify).To write the expression as a product of reduced factors.To transform the two sides until they look exactly the same.SMG helps you build textbook-like solutions for algebra problems. After you have entered a problem, press F4 to display a list of potential transformations.For more help, press F7 and select 1:Goal to display the goal for the current problem.For help with subexpression selection, press F7 and select 3:Subexpr Selection Help.The SMG Guided Tour and the user guide give you detailed information about SMG, including navigating, opening and working with problem sets, and entering and solving problems.You can download these documents from http://education.ti.com/guides.Press F3 to enter/exit math objectPress  to select smaller piecePress  to select bigger piecePress  to tab through expressionPress Shift, Shift to select subsequent expressionsSubexpression SelectionUse ,,,,Shift,Shift,ESC,F3,F4,F7NoneAPPROXIMATEVERIFY SOLUTIONleft side - right side =This problem set cannot be modified because it is locked or archived.This action will change the problem by adding the constraintThis action will change the problem by removing the constraintSolutions may be lost.Continue?Dividing by 0 is not allowed. is not supported for this problem type.Invalid function definition.This former current problem set has been moved or deleted.Transformation not applicable.Cleanup not applicable.Invalid exponent.Not a common divisor.Expressions are not equivalent.Unable to verify equivalence. is not supported in this context.User defined functions are not supported in this context.Invalid target for substitution.Invalid substitution.Must be a variable not yet used in the current problem.Maximum number of problems reached. Press F2:7 to delete some problems or press F1:3 to create a new problem set.You must free up some RAM memory or open a new problem set in order to run this application.You must delete some user variables or open a new problem set in order to run this application.Not a valid Symbolic Math Guide Version 2.00 problem set.Your most recent changes to this problem set have now been saved.Your most recent changes to this problem set can NOT be saved! Go to VAR-LINK and free up some memory.? is not supported.Expression contains unsupported feature.No help available. The product rule may not be useful for this derivative.The product of f and g must be equivalent to the function being differentiated. Try again or press F1 for help.No help available. Can't apply chain rule to produce simpler derivatives.Can't apply chain rule to produce simpler derivatives.Check that you have entered the correct functions. For multiple composite functions, choose f(u) to be the outermost single function. Try again or press F1 for help.Product of f * g' must be equal to the integrand.Unable to compute f'.Unable to compute g.This transformation may introduce extraneous solutions. Use F8: to verify solutions.will be appended to the input.delete nonessential ()-0  0A0  00A  0A+0  A0+A  AA-0  A0-A  A0/A  0 | A0A/0  undefA^0  1 | A00^A  0 | A>0apply 0 identities1A  AA1  AA/1  AA^1  A1^A  1apply 1 identitiesapply 0 & 1 identitiesA  A1A  A(A)B  (AB)AB  (AB)A+B  A-BA-B  A+B(A)/B  (A/B)A/B  (A/B)simplify negationA-(B+C)  A-B-CA-(B-C)  A-B+Cdistribute subtractionsimplify & -simplify 0, 1, & -add/subtract numbersmultiply numbersdivide numberscompute number^numberarithmeticarithmetic, 0, 1, & -A^1/C  1/(AC)A^B/C  1/(A^BC)A/B^1  AB | B0A/B^C  AB^C | B0AB^1  A/BAB^C  A/B^CA^1B  B/AA^BC  C/A^B(A/B)^1  B/A | B0(A/B)^C  (B/A)^C | B0A^1  1/AA^B  1/A^Beliminate negative exponents(A-B)  A+B(A+B)  A-Bdistribute negation(AB)^U  A^UB^U(AB)^U  abs(A)^Uabs(B)^U(AB)^U  A^UB^U(A/B)^U  A^U/B^U(A/B)^U  abs(A)^U/abs(B)^U(A/B)^U  A^U/B^U(A)^U  A^U(A)^U  A^Udistribute exponents(A^U)^V  abs(A)^(UV)(A^U)^V  A^(UV)(A^U)^V  A^(UV)simplify (A^U)^V(A^2)  abs(A)(A^(2N))  abs(A)^N(A^(2N+1))  A^N(A)simplify (A^U)(A)^2  A | A0(A)^(2N)  A^N | A0(A)^(2N+1)  A^N(A)simplify (A)^Usimplify (A^U) & (A)^Uapply power lawsorder factors(A)(A)  A | A0A^UA^V  A^(U+V)AA  A^2comb adj like factorsorder termscomb adj like termscancel in fraction(s)divide like factors(1/A)(B/C)  B/(AC)(A/B)(1/C)  A/(BC)(A/B)(C/D)  (AC)/(BD)A(1/B)  A/B(1/A)B  B/AA(B/C)  (AB)/C(A/C)B  (AB)/Cmultiply fractions(A/B)/(C/D)  (AD)/(BC)(A/B)/C  A/(BC)1/(A/B)  B/AA/(C/B)  (AB)/Cdivide fractionsmultiply & divide fractionsln()  1ln(^U)  U^ln(U)  U | U>0log(10)  1log(10^U)  U10^log(U)  U | U>0sin(sin(A))  Asin(sin(A))  Acos(cos(A))  Acos(cos(A))  Atan(tan(A))  Atan(tan(A))  Asinh(sinh(A))  Acosh(cosh(A))  A | A1tanh(tanh(A))  A | A>1 and A<1sinh(sinh(A))  Acosh(cosh(A))  abs(A)tanh(tanh(A))  Acancel inverse functionssin(cos(A))  (1-A)sin(tan(A))  A/(A^2+1)cos(sin(A))  (1-x)cos(tan(A))  1/(A^2+1)tan(sin(A))  A/(1-A^2)tan(cos(A))  (1-A^2)/Aln(1)  0ln(nonpositive)  undeflog(1)  0log(nonpositive)  undefevaluate logarithms(0)  0(1)  1(negative)  undefevaluate evaluate fract powersabs(A) |A0  Aabs(A) |A<0  Aabs(sign(A))  1evaluate absevaluate signsin(0)  0sin(/6)  1/2sin(/4)  (2)/2sin(/3)  (3)/2sin(/2)  1sin()  0sin(N)  0sin((N+1/2))  (1)^Nevaluate sincos(0)  1cos(/6)  (3)/2cos(/4)  (2)/2cos(/3)  1/2cos(/2)  0cos()  -1cos(N)  (1)^Ncos((N+1/2))  0evaluate costan(0)  0tan(/6)  (3)/3tan(/4)  1tan(/3)  (3)tan()  0tan(N)  0tan((N+1/2))  undefevaluate tansin(0)  0sin(1)  /2sin(1/2)  /6sin((2)/2)  /4sin((3)/2)  /3sin(A) | abs(A)>1  undefevaluate sincos(0)  /2cos(1)  0cos(1/2)  /3cos((2)/2)  /4cos((3)/2)  /6cos(A) | abs(A)>1  undefevaluate costan(0)  0tan(1)  /4tan((3)/3)  /6tan((3))  /3evaluate tansinh(0)  0cosh(0)  1tanh(0)  0sinh(0)  0cosh(1)  0cosh(A) | A<1  undeftanh(0)  0tanh(A) | A1 or A1  undefevaluatesign(A)  sign(A)sin(A)  sin(A)sin(A)  sin(A)tan(A)  tan(A)tan(A)  tan(A)sinh(A)  sinh(A)tanh(A)  tanh(A)F(A)  F(A)abs(A)  abs(A)cos(A)  cos(A)cosh(A)  cosh(A)F(A)  F(A)cos(A)  - cos(A)simplify F( A)sin(A)  sin(A)sin(A+/2)  cos(A)sin(A-/2)  cos(A)sin(A2N)  sin(A)cos(A)  cos(A)cos(/2-A)  sin(A)cos(A+/2)  sin(A)cos(A2N)  cos(A)tan(A)  tan(A)tan(A/2)  (1/tan(A))tan(AN)  tan(A)abs(A)^U  A^U(sign(A))^U  1simplify sign(A^U)neg^(odd/even)  undefsimplify(AB)/C  A/CB/C(A-B)(A+AB+B)  A-B(A+AB+B)(A-B)  A-B(A+B)(A-AB+B)  A+B(A-AB+B)(A+B)  A+B(AB)C  AC BCA(BC)  AB AC(A+B)(C+D)  AC+AD+BC+BD(A+B)(A-B)  A-B(A+B)(C-D)  AC-AD+BC-BD(A-B)(A+B)  A-B(A-B)(C+D)  AC+AD-BC-BD(A-B)(C-D)  AC-AD-BC+BD(AB)  A2AB+B(AB)  A3AB+3ABBexpandexpand & simplifycommon denom & simplifyA(B/A)  B | A0(A/B)B  A | B0(A/C)/(B/C)  A/BA/(A/B)  B(A/B)/A  1/BA-A  0A+A  0A+A  0A+B  B-AA+B  B+AA-B  B-AA-B  B+AAB  BAcombine like factorscombine like termsgroup like factorsA/A  1 | A0A^U/A^V  A^(U-V)A^U/A^V  1/A^(V-U)A/(A)  (A) | A>0(A)/A  1/(A)(AB)/(B)  (A)(AB)/(A)  (B)(B)/(AB)  1/(A)(A)/(AB)  1/(B)(AC)/(BC)  (A)/(B)(AB)/(AC)  (B)/(C)cancel grouped like A/CB/C  (AB)/CA/BC/D  (DABC)/(BD)A/DB  (ADB)/DAB/D  (DAB)/Dfind common denominatorcommon denominatorsimplify numeratorexpand & simplify numeratorsimplify denominatorexpand & simplify denominatorrationalize numeratorrationalize denominator1/A^U  A^U1/A  A^1A/B  AB^1A/B  (1/B)AAB/C  (A/C)BAB/(CD)  (A/C)(B/D)A^(M/N)  (A^(1/N))^MA^(M/N)  (A^M)^(1/N)B^N  BB(N times)A-B  (A+B)A+B  (A-B)factor out 1factor out ?A2AB+B  (AB)A-B  (A-B)(A+B)A-B  (A-B)(A+AB+B)A+B  (A+B)(A-AB+B)factorfactor integerfactor numeratorfactor denominatorAAB  A(1B)AAB  A(1B)A-AB  A(1B)ABA  A(B1)ABA  A(B1)ABA  A(B1)ABAC  A(BC)ABAC  A(BC)ABAC  A(BC)BAB  (1A)BBAB  (1A)BABB  (A1)BABB  (A1)BACBC  (AB)Cgroup factors by degreeA^(U+V)  A^UA^VA^(U+V)  A^UA^VA^(U-V)  A^U/A^VA^(U-V)  A^U/A^VA^UB^U  (AB)^UA^U/B^U  (A/B)^Ucombine powersabs(AB)  abs(A)abs(B)abs(A/B)  abs(A)/abs(B)abs(A^B)  abs(A)^Bdistribute abscollect absgroup abs() factorssign(AB)  sign(A)sign(B)sign(A/B)  sign(A)/sign(B)distribute sign(A)  (B)(A)  (BC)A^(M/N)  (B^N)^(M/N)A^(M/N)  (B^NC)^(M/N)A^(1/2)  (A)(A)  A^(1/2)(AB)  (A)(B)(AB)  (abs(A))(abs(B))(A/B)  (A)/(B)(A/B)  (abs(A))/(abs(B))distribute expand group factors(A)(B)  (AB)(A)/(B)  (A/B)ln(AB)  ln(abs(A))+ln(abs(B))log(AB)  log(abs(A))+log(abs(B))ln(1/A)  ln(A)ln(A/B)  ln(abs(A))-ln(abs(B))log(1/A)  log(A)log(A/B)  log(abs(A))-log(abs(B))ln(A^U)  Uln(A)ln(A^U)  Uln(abs(A))ln(A^U)  Uln(A)log(A^U)  Ulog(A)log(A^U)  Ulog(abs(A))log(A^U)  Ulog(A)expand logarithmsgroup ln() termsgroup log() termsln(A)  ln(1/A)log(A)  log(1/A)ln(A)+ln(B)  ln(AB)log(A)+log(B)  log(AB)ln(A)-ln(B)  ln(A/B)log(A)-log(B)  log(A/B)Uln(A)  ln(A^U)Ulog(A)  log(A^U)ln(A)/B  ln(A^(1/B))log(A)/B  log(A^(1/B))collect logarithmsln(A)  log(A)/log()log(A)  ln(A)/ln(10)sin(2A)  2sin(A)cos(A)cos(2A)  (cos(A))-(sin(A))tan(2A)  2tan(A)/(1-(tan(A))^2)expand double anglesexpand sin(AB)expand cos(A+B)expand cos(A-B)expand tan(A+B)expand tan(A-B)trigonometric expansionsin(A/2)  ((1-cos(A))/2)sin(A/2)  ((1-cos(A))/2)cos(A/2)  ((cos(A)+1)/2)cos(A/2)  ((cos(A)+1)/2)tan(A/2)  sin(A)/(cos(A)+1)cot(A/2)  sin(A)/(1-cos(A))expand half anglestan(A)  sin(A)/cos(A)csc(A)  1/sin(A)sec(A)  1/cos(A)cot(A)  cos(A)/sin(A)sin(A)  cos(/2-A)cos(A)  sin(/2-A)sin(A)  /2 - cos(A)cos(A)  /2 - sin(A)sin(A)  tan(A/(1-A^2))tan(A)  sin(A/(A^2+1))tan(1/A)  /2sign(A) - tan(A)csc(A)  sin(1/A)sec(A)  cos(1/A)cot(A)  /2 - tan(A)sin(A)^2+cos(A)^2  1(sin(A))  1 - (cos(A))(sin(A))  (1-(cos(A)))sin(A)sin(A)^(2N)  (1-(cos(A))^2)^Nsin(A)^(2N+1)  (1-(cos(A))^2)^Nsin(A)(cos(A))  1 - (sin(A))(cos(A))  (1-(sin(A)))cos(A)cos(A)^(2N)  (1-(sin(A))^2)^Ncos(A)^(2N+1)  (1-(sin(A))^2)^Ncos(A)(sec(A))  (tan(A))+1(csc(A))  (cot(A))+1(tan(A))  (sec(A))-1(cot(A))  (csc(A))-1(sec(A))-(tan(A))  1(csc(A))-(cot(A))  1sin(A/2)^2  (1-cos(A))/2cos(A/2)^2  (1+cos(A))/2sin(A)/cos(A)  tan(A)cos(A)/sin(A)  cot(A)A/sin(B)  Acsc(B)A/cos(B)  Asec(B)A/cot(B)  Atan(B) | sin(B)0A/tan(B)  Acot(B) | cos(B)0sinh(A)  (^A-^A)/2cosh(A)  (^A+^A)/2tanh(A)  sinh(A)/cosh(A)csch(A)  1/sinh(A)sech(A)  1/cosh(A)coth(A)  cosh(A)/sinh(A)csch(A)  sinh(1/A)sech(A)  cosh(1/A)coth(A)  tanh(1/A) AB  (A)B A/B  (A)/BA-B  A+BA^U  ^(Uln(A))A^U  10^(Ulog(A))A^(UV)  (A^U)^VA^(UV)  (A^U)^V(A^U)^V  (A^V)^U(A^U)^V  (A^V)^Upropagate undefsimplify monomialsimplify polynomialsimplify rationalA=A  trueadd ? to each sidesubtract ? from each sidemultiply each side by ?divide each side by ?switch sidesfactor left sidefactor right sideA=0  A=0A=B  A=BAB=0  A=0 or B=0A/B=0  A=0num1=num2  falsepositive=nonpos  falsenegative=nonneg  falseA/D=B/D  A=BAB=AC  A=0 or B=CBA=CA  B=C or A=0solve linear equation(s)A=B  A-B=0A^(positive)=0  A=0A=B  A=B or A=-BA=B  A=(B) or A=-(B)complete the squarequadratic formulacross multiply(A)=0  A=0(A)=(B)  A=BA^(U)=B^(U)  A^U=B^UA^U=B^U  A=BA^U=B^U  A=B or A=Bsquare each sideraise both sides to ?abs(A)=abs(B)  A=B or A=Babs(A)=0  A=00=abs(A)  A=0abs(A)=B  A=B or A=BA=abs(B)  A=B or A=Bln(A)=ln(B)  A=Blog(A)=log(B)  A=BA^U=A^V  U=VA^U=A  U=1A=A^U  U=1apply ln to each sideln(A)=U  A=^Ulog(A)=U  A=10^U^U=A  U=ln(A)10^U=A  U=log(A)A^U=B  U=ln(B)/ln(A)A=undef  falseapply constraints(cf(x),x)  c(f(x),x)derivative of sum or diffderivative of productderivative of quotientderivative of constant(x,x)  1(x^r,x)  rx^(r-1)((x),x)  1/(2(x))(1/x,x)  1/x^2(1/x^r,x)  r/x^(r+1)(ln(x),x)  1/x(log(x),x)  1/xlog()(^x,x)  ^x(A^x,x)  ln(A)A^x(sin(x),x)  cos(x)(cos(x),x)  sin(x)(tan(x),x)  sec(x)^2(cot(x),x)  csc(x)^2(sec(x),x)  sec(x)tan(x)(csc(x),x)  csc(x)cot(x)(sin(x),x)  1/(1-x^2)(cos(x),x)  1/(1-x^2)(tan(x),x)  1/(1+x^2)(cot(x),x)  1/(1+x^2)(sec(x),x)  1/(x(x^2-1))(csc(x),x)  1/(x(x^2-1))(sinh(x),x)  cosh(x)(cosh(x),x)  sinh(x)(tanh(x),x)  sech(x)^2(coth(x),x)  csch(x)^2(sech(x),x)  sech(x)tanh(x)(csch(x),x)  csch(x)coth(x)(sinh(x),x)  1/((1+x^2))(cosh(x),x)  1/((x^2-1))(tanh(x),x)  1/(1-x^2)(coth(x),x)  1/(1-x^2)(sech(x),x)  1/(x(1-x^2))(csch(x),x)  1/(abs(x)(1+x^2))(abs(x),x)  sign(x)basic derivativesderivative of composition(f^g,x)  (^(gln(f)),x)(ln(abs(f)),x)  1/ff'derivative of polynomial(cf(x),x)  c(f(x),x)integral of sum or diffintegral of constant(x,x)  1/2x^2(x^r,x)  1/(r+1)x^(r+1)(x^1,x)  ln(abs(x))(1/x,x)  ln(abs(x))(1/x^r,x)  1/((r-1)x^(r-1))(^x,x)  ^x(A^x,x)  A^x/ln(A)(ln(x),x)  xln(x)-x(log(x),x)  xlog(x)-log()x(sin(x),x)  cos(x)(cos(x),x)  sin(x)(tan(x),x)  ln(abs(sec(x)))(cot(x),x)  ln(abs(sin(x)))(sec(x),x)  ln(abs(sec(x)+tan(x)))(csc(x),x)  ln(abs(csc(x)-cot(x)))(sec(x)^2,x)  tan(x)(csc(x)^2,x)  cot(x)(sec(x)tan(x),x)  sec(x)(csc(x)cot(x),x)  csc(x)(1/(1-x^2),x)  sin(x)(1/(1-x^2)^(1/2),x)  sin(x)((1-x^2)^((1/2)),x)  sin(x)(1/(a^2-x^2),x)  sin(x/a)(1/(a-x^2),x)  sin(x/(a))(1/(a^2-x^2)^(1/2),x)  sin(x/a)(1/(a-x^2)^(1/2),x)  sin(x/(a))((a^2-x^2)^((1/2)),x)  sin(x/a)((a-x^2)^((1/2)),x)  sin(x/(a))(1/(1+x^2),x)  tan(x)((1+x^2)^1,x)  tan(x)(1/(a^2+x^2),x)  1/a*tan(x/a)(1/(a+x^2),x)  1/(a)*tan(x/(a))((a^2+x^2)^1,x)  1/a*tan(x/a)((a+x^2)^1,x)  1/(a)*tan(x/(a))(1/(xsqrt(x^2-1)),x)  sec(x)(1/(x(x^2-1)^(1/2)),x)  sec(x)(1/(xsqrt(x^2-A^2)),x)  1/Asec(x/A)(1/(x(x^2-A^2)^(1/2)),x)  1/Asec(x/A)(1/(xsqrt(x^2-A)),x)  1/(A)sec(x/(A))(1/(x(x^2-A)^(1/2)),x)  1/(A)sec(x/(A))(sin(x),x)  xsin(x)+(1-x^2)(cos(x),x)  xcos(x)-(1-x^2)(tan(x),x)  xtan(x)-1/2ln(x^2+1)(cot(x),x)  xcot(x)+1/2ln(x^2+1)(sec(x),x)  xsec(x)-ln(x+(x^2-1))(csc(x),x)  xcsc(x)+ln(x+(x^2-1))(sinh(x),x)  cosh(x)(cosh(x),x)  sinh(x)(tanh(x),x)  ln(cosh(x))(coth(x),x)  ln(abs(sinh(x)))(sech(x),x)  tan(sinh(x))(csch(x),x)  ln(abs(tanh(x/2)))(sech(x)^2,x)  tanh(x)(csch(x)^2,x)  coth(x)(sech(x)tanh(x),x)  sech(x)(csch(x)coth(x),x)  csch(x)integral of polynomialbasic integralsintegration by substitutionback substituteapply partial fractionsintegration by parts(fg')  fg - (gf')A  A + ? - ?A  A(?/?)rewrite as ?SubstituteforNew expr:F1=HELPsubstitute ?1 for ?2back substitute ?1 for ?2?1:?2:rewrite:Example f: f(x)=x-1apply definition of ?apply ?enter subexpr selectionexit subexpr selectionThe sum rule is not useful for this derivative.The quotient rule is not useful for this derivative.No help available.f can't be a constant.Unable to verify equivalence of integrals.(A/B)(B/A)  1 | A0 and B0(A/B)(C/A)  C/B | A0(A/B)(B/C)  A/C | B0To avoid losing this problem set, you MUST go to VAR-LINK and free up some RAM before exitting SMG.false  no real solutionsno real solutionstrue  domainall real numbersThe equation has simplified to false. This means that there are not any real solutions.The equation has simplified to true. This means that the solution set is the domain.Multiplying both sides of an equation by 0 is not allowed because the new equation might not have the same solution set as the original equation.not in domainTo obtain an expression to which no useful simplification transformation applies. [See goals for specific 'simplify' problem types.]To obtain an expression to which no useful expansion transformation applies. 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