Consider a function h that is continuous over [ - 15, 15] and let 15 h(x)dx - - 5 Use the above information to evaluate each of the following definite integrals. For one of the integrals, it may be helpful to think about transformations. . 15 [h(x) - 11]dx h(x - 11)dx = -5 11 . 15 Assuming h is even, - h(x)dx = 10 V - 15 15 Assuming h is odd, h(x)dx 0 15t2 - 1 1. Let f (x) = dt. sin*(t) + 1 (a) Find f'(x). (b) On what interval(s) is f increasing? On what interval(s) is f decreasing? 2. The velocity of an object moving along a straight line is given by v(t) = - in ft/sec. Find the distance traveled by the particle from t = 1 to 6 seconds