1. Which of the following is the antiderivative of f(x) = -5x? a. F(x) = -= 3 - + C c. F(x) = _ 5x +C b. F(x) = 5x2 2 -+C d. F(x) = 5x2 -+C 2. Which of the following is the antiderivative of f(x) = x3 + 5x?? a. F(x) = =+ 5x3 - + C 4 C. F(x) = =+-+C 5x3 3 3 4 b. F(x) = 5x3 5x2 4 3 - +C d. F(x) = = 3 -+C 3. Which of the following is the antiderivative of f(x) = 7 cosx + 4e*? a. F(x) = -7 sin x+4e* + C c. F(x) = 7 cos x +4e* + C b. F(x) = 7 sin x-4e* + C d. F(x) = 7 sin x+4e* + C 4. Which of the following is the antiderivative of f (x) = tan x? a. sec x + tan x + C c. In |cscx] + C b. csc x + cot x + C d. - In|cos x| + C 5. Which of the following is the antiderivative of f(x) = sin x + cos x - secz x? a. F(x) = cos x + sin x + tan x + C b. F(x) = - cos x + sinx - tan x + C c. F(x) = - cos x - sin x tan x + C d. F(x) = cos x - sin x + tan x + C\f1. Using the integral [ 2t(t2 + 1)3 dt. Let u = to + 1, which of the following functions is the derivative of u? a. du = (2t + 1) dt b. du = =t dt c. du = 2t dt d. du = 4t dt 2. What is the antiderivative of J u*du? a. =u*+ C b. zu3+ C c. 2u+ C d. = z Su+C 3. Given the integral (5x + 1)' dx. Let u = 5x + 1, find its derivative. a. du = 5x dx b. du = = dx c. du = 5 dx d. du = 10 dx 4. Substitute the u and du you have in item number 3 in the integral (5x + 1) dx. What is the new integral? a. Juz . 5x du b. Juz .= du c. J u2 . 5 du d. Ju2 . 10 du 5. Integrate the new integral in item number 4 and substitute the value of u. a. - (5x +4)3 + c 15 b. 1 (5x + 4)3 + C c. (5x+4)3 + C d. = (5x + 4)3 + C 30 15