Integration Assignment

Which of the following is the indefinite integral of  2x3 + 4?
a) ∫ (2x3 + 4)dx = 6x2 + c. b) ∫ (2x3 + 4)dx = 6x4 + 4x.
c) ∫ (2x3 + 4)dx = 1 x4 + 4x+ c. 2 d) ∫ 2 (2x3 + 4)dx = 3x4 + 4x .
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Which of the following is the indefinite integral of   1 2x 2 ?

 

a) ∫ 1 4 3 2x 2 dx = 3x2 +c . b) ∫ 1 3 2x2 dx = 3x2 + c.
c) ∫ 1 2 2x2 dx = 3x3 + c. d) ∫ 1 1 2x 2 dx = x-2 +c .
Which of the following is the indefinite integral of  -3 x4 ?

 

a) ∫ -3 1- x4 dx = x3 + c. b) ∫ -3 dx = - 15 +c . x4 x5
c) ∫ -3 dx =-3- + c. x4 5x5 d) ∫ -3 dx = - 15 +c . x4 x5
Which of the following correctly evaluates the definite integral  ∫ 1√ -- √3-- 0 ( x+ x)dx?

 

a) 5 . 6 b) 5 7 .
c) 17. 12 d) 4.
Which of the following correctly finds the area of the region bounded by the graph of  x2 - 4x +4 ,   the  x -axis and the lines  x = 1    and  x = 4?

 

a) 6 square units. b) 3 square units.
c) 5 square units. d) 43 square units.
Which of the following is the indefinite integral of  2x3 + 4?

 

a) ∫ (2x3 + 4)dx = 6x2 + c. b) ∫ (2x3 + 4)dx = 6x4 + 4x.
c) ∫ (2x3 + 4)dx = 1 x4 + 4x+ c. 2 d) ∫ 2 (2x3 + 4)dx = 3x4 + 4x .
Which of the following is the indefinite integral of   x2 + 7 ?

 

a) ∫ (x2 + 7)dx = 2x + c. b) ∫ (x2 + 7)dx = x3 + 7x.
c) ∫ (x2 +7)dx = 1x3 + 7x. 2 d) ∫ 1 (x2 + 7)dx = -x3 + 7x+ c . 3
Which of the following is the indefinite integral of   x 13 ?

 

a) ∫ x 13 dx = 4x43 + c. 3 b) ∫ x13 dx = 3 x23 + c. 2
c) ∫ x 13 dx = 1x- 23 + c. 3 d) ∫ x13 dx = 3x43 + c. 4
Which of the following is the indefinite integral of   2-? x2

 

a) ∫ 2-dx = - 2+ c. x2 x b) ∫ -2 dx = 2+ c. x2 x
c) ∫ -2 dx = --6 + c. x2 x3 d) ∫ 2-dx = -6 + c. x2 x3
Which of the following correctly evaluates the definite integral ∫ 3 2 (x + 3x+ 2)dx ? 1

 

a) 97 -3 . b) 110 3 .
c) 74 3 . d) 4.
Which of the following correctly evaluates the definite integral ∫ 2 -2 -3 -1(x + 3x + 2)dx?

 

a) ∫ 2 - 2 -3 -1(x + 3x + 2)dx = - 3 . b) ∫ 2 -2 -3 5 (x +3x + 2)dx = 58 . -1
c) ∫ 2 -2 -3 -1(x + 3x + 2)dx = - 5. d) ∫ 2 -2 -3 3 (x + 3x +2)dx = 616 . -1
 

 

 

 

 

 

 

 

 

 

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