Answer Happy

1. (30) Discuss the following questions. Use graphs, examples of functions, or sentences to support your conclusions. Most will need all (or most) of the above to give a sufficient solution. a. Give the antiderivatives of x. For what values of p does your answer apply? b. Under what conditions does the net area equal the area of a region? When does the net area of a region differ from the area of a region? Draw graphs to support your answer.

C. Evaluate 3 dx using the FTC. Check your work by evaluating the integral using geometry. (The work should be different for each answer.) d. Suppose f is an even function and f(x) dx = 18. Evaluate Sº f(x) dx.

e. Iff is an odd function, why is L. f(x) dx = f. S. (2f(x) – 3g(x)) dx = 2 $(x) +38%9(x) dx +