Explain why or why not Determine whether the

Chapter 7, Problem 1

(choose chapter or problem)

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. The integral 1x2e2x dx can be evaluated using integration by parts. b. To evaluate the integral L dx 2x2 - 100 analytically, it is best to use partial fractions. c. One computer algebra system produces 12 sin x cos x dx = sin2 x. Another computer algebra system produces 12 sin x cos x dx = -cos2 x. One computer algebra system is wrong (apart from a missing constant of integration). d. 12 sin x cos x dx = - 1 2 cos 2x + C. e. The best approach to evaluating L x3 + 1 3x2 dx is to use the change of variables u = x3 + 1.