please answer 2,4,5 and 6

AP Calc BC Unit 6 - FTC - Part II - HW S2* dx = a. 2 * + C b. (In 2)2* + C 2 +C In 2 d. 24+1 2. (Calculator) If sin (247) is an antiderivative for f(x), then S, f(x) dx = a. -0.281 b. -0.102 C. 0.102 d. 0.260 0.282 3. If f'(x) = 3x2 + 2x and f (2) = 3, then f (1) = -10 -7 * * + x 2 + C = 10 d. 13 5 3 x2 + 2* = 3-+(1) e . 7 10 = 3 - f(1 ) 4. S 5 x (V x - x2) dx = - 7 a. 4517 15 x2 + C 2 b. 5x - 5X" + C C. 2x2 _ 5x" + C 5 ( JX - x2) + 5 x (- 2x+; x2 ) d. 25x2 _ 5x* + C 5 xJX - 5 x 3 5 / 2 5x e. _5x" + C 5 x . x 2 5 x2 - 5 x 3 5 . sex-+ dx = 3 IN X X e2-1 + d. b. e2+1 3 e 3 x 2 e 2 + 2 x +1hx C. e + ine ! Hr ) d. w e. 202-8e+6 WI - 1 3e 6. A cubic polynomial function f is defined by f (x) = 4x3 + ax2 + bx + k, where a, b, and k are constants. The function f has a local minimum at x = -1, and the graph of f has a point of inflection at x = -2. a. Find the values of a and b. b. If So f (x) dx = 32, what is the value of k