Problem 14. (1 point) [f(x) dx - "f(x) ax =/ f(x) dx where a = and b = Note: You can earn partial credit on this problem. Problem 15. (1 point) Calculate the following antiderivatives: (a) 14t - 5+ 3 + 7 dt = +C. (b ) 17/4 + 3.5 \\u du = +C. (c) 1 dx = +C. 5x5Problem 16. (1 point) Calculate the following antiderivatives: 11 (a) f dx = +C. x (b)/551nx+4cosxdx= +C. (C) fZe" dX = +C. Note: You can earn partial credit on this problem. Problem 17. X (1 point) Suppose that F(x) = / f(t) (it, where 1 Find F\"(2). F \"(2) = Problem 18. (1 point) Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y = 4x,y = 3x2 Problem 17. (1 point) Suppose that F(x) = / f(t) (it, where 1 t3 w/4+u5 f(t)=/ du. 1 Find F\"(2). Ff/(2) = Problem 18. (1 point) Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. y=4x,y =3x2 Answer: Problem 19. (1 point) Evaluate the definite integral. _2 7 5 10 -7 \\/67X dx