© 2010  Rasmus ehf  og Jóhann Ísak Pétursson

Integral test 1

Instructions to students

Read each question carefully and choose the answer that you think is most likely to be correct. You can only choose one answer for each question. When  you are ready, mark your answers in the spaces on the computer screen and click on the button 'Send answers'. Good luck!

Use the table in lesson 1 to do the following problems:

1.                              Integrate f(x) = 3x2 + 4x + 7

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Possible answers:
A F(x) = x3 + 2x2 + 7x + C
B F(x) = x3 + 4x2 + 7x + C
C F(x) = x3 + 2x2 + 7 + C
D
F(x) = x3 + x2 + x + C

2.                          Find the integral function of  f(x) = 3x2 + 4x + 7 that goes through the point (1, 15).

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Possible answers:
A F(x) = x3 + 2x2 + 7x
B F(x) = x3 + 2x2 + 7x + 5
C F(x) = x3 + 2x2 + 7x + 10
D

F(x) = x3 + 2x2 + 7x + 15

3.                         Find the integral function of  f(x) = ex that goes through (0, 0).

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Possible answers:
A F(x) = ex – 2
B F(x) = ex – 1
C F(x) = ex + 1
D F(x) = ex + 2

4.                               Integrate f(x) = sin 3x + cos 2x.

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Possible answers:
A F(x) = ½·sin 2x – ⅓·cos 3x + C
B F(x) = ⅓·sin 3x – ½·cos 2x + C
C F(x) = ½·cos 2x – ⅓·sin 3x + C
D F(x) = ⅓·cos 3x – ½·sin 2x + C

5.                                  Find the integral function of f(x) = sin x + cos x that goes through (0, 0).

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Possible answers:
A F(x) = sin x – cos x + 1
B F(x) = sin x – cos x +
C F(x) = cos x – sin x + 1
D F(x) = cos x – sin x +

6.                               Integrate f(x) = 

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Possible answers:
A
B
C
D

7.                          Find the integral function for f(x) =1/x that goes through (1, 2).

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Possible answers:
A F(x) = ln ІxІ
B F(x) = ln ІxІ + 1
C F(x) = ln ІxІ + 2
D F(x) = ln ІxІ + 3

8.                               Find the integral function for f(x) =1/x2 that goes through (1, 2).

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Possible answers:
A F(x) = ln x2/2 + 1
B F(x) = ln x2/2 + 2
C F(x) = ln x2/2 + 3
D
F(x) = 3 – 1/x

9.                                     Find the integral function for f(x) = e2x that goes through (1, 2).

Check here Possible answers:
A F(x) = ½e2x
B F(x) = ½e2x + 1
C F(x) = ½(e2x – e2)
D F(x) = ½e2x + 2 – ½e2
10.                          Find the integral function of  f(x) = 2x that goes through (1, 2).

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Possible answers:
A F(x) = 2x/ln2
B F(x) = 2x/ln2 + 2/ln2
C F(x) = 2x/ln2 + 2 – 2/ln2
D F(x) = 2x/ln2 + (2 – 1)/ln2

 

Percentage answered correctly =

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