The following questions ask you to find the area under f(x) = x³ and above the x-axis between x = 0 and x = 1 by using different methods.

1. Use the right-hand Riemann sum function you defined in Lesson 15.2 to approximate the area using ten rectangles.
2. Use the left-hand Riemann sum function you defined in Lesson 15.1 to approximate the area using ten rectangles.
3. Find the exact value of the area by taking the limit of the right-hand Riemann sum as the number of rectangles approaches infinity.
4. Find the exact value of the area by taking the limit of the left-hand Riemann sum as the number of rectangles approaches infinity.
5. Write the command used to find the exact area using the integral key.
6. On the Graph screen, use the Math menu's definite integral feature to approximate the area.

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