Question: Find the indefinite integral: [(x - 4)(x + 8)]dx (1/3)x 3 + 2x 2 - 32x + C x 2 + 4x + C

  1. Find the indefinite integral:


 ∫ [(x - 4)(x + 8)]dx



(1/3)x3 + 2x2 - 32x + C



x2 + 4x + C



(1/4)x4 + 2x3 - 32x + C



(1/3)x3 - 32x + C



None of These

QUESTION 2

  1. Find the indefinite integral:


 ∫  [(1/x) + (1/x2)]dx



ln|x| + ln|x2| + C



ln|x| - x-1 + C



ln|x| + x-1 + C



(-1/2)x-1 + C



None of These

QUESTION 3

  1. Find f(x) given that f '(x) = 3x2 + 8x - 7 and that f(1) = 5.



f(x) = 6x + 8



f(x) = 6x + 9



f(x) = x3 + 4x2 - 7x + 5



f(x) = x3 + 4x2 - 7x + 7



None of These

QUESTION 4

  1. Find the indefinite integral:


 ∫  [e-x + 4e2x]dx



e-x + 4e2x + C



-e-x + 2e2x + C



-e-x + 8e2x + C



-e-x+1 + 2e2x+1 + C



None of These

QUESTION 5

  1. Find the indefinite integral:


 ∫  [x5/2 + x2/5]dx



(2/7)x7/2 + (5/7)x7/5 + C



(7/2)x7/2 + (7/5)x7/5 + C



(5/2)x3/2 + (2/5)x -3/5 + C



(10/39)x39/10 + C



None of These

QUESTION 6

  1. Find the indefinite integral:


 ∫  [(6 + 7x6) / x4 ]dx



6x-4 + 7x2 + C



[6x + x7] / [(1/5)x5] + C



x3 + (1/7)x7 + C



-2x -3 + (7/3)x3 + C



None of These

QUESTION 7

  1. Find the indefinite integral:


 ∫  [e + x]dx



1 + C



ex + (1/2)x2 + C



e + (1/2)x2 + C



(e)x + (1/2)x2 + C



None of These

QUESTION 8

  1. Find the indefinite integral:


 ∫ [12x + 3x-1]dx



12 - 3x-2 + C



6x2 + (3x0/0) + C



6x2 + 3ln|x| + C



6x2 + C



None of These

QUESTION 9

  1. Find f(x) given that f '(x) = 10e-5x + 8 and that f(0) = -3.



f(x) = -2e-5x + 8x



f(x) = -2e-5x - 3



f(x) = -2e-5x + 8x - 1



f(x) = -2e-5x + 8x + 6



None of These

QUESTION 10

  1. Find the indefinite integral:


 ∫  [2x + 9]dx



x2 + 9x



2



(11/2)x2



9x2



None of These

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