1. Use your calculator to find the function that gives the area bounded by f(t) = 3t², t = x and the t-axis.
2. What does the Fundamental Theorem say about the relationship between the area function you found in Question 1 and the function f(t) = 3t ²?
3. Use the following graph to sketch a graph of the corresponding area function.
   

4. Predict the derivative and check with your calculator.
5. Predict the result of the definite integral and check with your calculator.

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