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P9OUT OF10Question 1

The document contains 10 multiple choice questions about evaluating definite integrals. The questions test skills in evaluating integrals of various functions, including exponential, trigonometric, logarithmic, and rational functions.

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Jesse Jaucian
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53 views7 pages

P9OUT OF10Question 1

The document contains 10 multiple choice questions about evaluating definite integrals. The questions test skills in evaluating integrals of various functions, including exponential, trigonometric, logarithmic, and rational functions.

Uploaded by

Jesse Jaucian
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Question 

1
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Evaluate   ∫exex−2−−−−−√dx∫exex−2dx
Select one:
a.

 25 (ex−2)3−−−−−−−√+c25(ex−2)3+c
b.

25(ex−2)5−−−−−−−√+c25(ex−2)5+c

c.

23(ex−2)5−−−−−−−√+c23(ex−2)5+c

d.

 23 (ex−2)3−−−−−−−√+c23(ex−2)3+c

Question 2
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Evaluate  ∫(t+1t)32(t2−1t2)dt∫(t+1t)32(t2−1t2)dt  
Select one:
a.
 32(t+1t)23+c32(t+1t)23+c
b.
 25 (t+1t)52+c25(t+1t)52+c
c.
 32(t+1t)52+c32(t+1t)52+c
d.
 25(t+1t)23+c25(t+1t)23+c
Question 3
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∫
Evaluate  3x5+2x2−3x3 dx∫3x5+2x2−3x3dx 
Select one:
a.
2x3++2ln|x|+32x−2+c2x3++2ln⁡|x|+32x−2+c
b.
x3++2ln|x|+32x−2+cx3++2ln⁡|x|+32x−2+c
c.
x3++3ln|x|+32x−2+cx3++3ln⁡|x|+32x−2+c
d.
2x3++3ln|x|+32x−2+c2x3++3ln⁡|x|+32x−2+c
Question 4
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Evaluate  ∫sin2θsin4θdθ∫sin⁡2θsin⁡4θdθ 
Select one:
a.
sin32θ2+csin3⁡2θ2+c
b.
sin34θ3+csin3⁡4θ3+c
c.
 sin32θ3 +csin3⁡2θ3+c
d.
sin34θ2+csin3⁡4θ2+c

Question 5
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Evaluate  ∫xsin3x2dx∫xsin⁡3x2dx  
Select one:
a.
−16sin3x2+c−16sin⁡3x2+c
b.
−16cos3x2+c−16cos⁡3x2+c
c.
  −13cos3x2+c−13cos⁡3x2+c
d.
−13sin3x2+c−13sin⁡3x2+c
Question 6
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∫
Evaluate   csc23θdθ1−cot3θ∫csc2⁡3θdθ1−cot⁡3θ 

Select one:
a.
3ln(1−csc3θ)+c3ln⁡(1−csc⁡3θ)+c
b.
−3ln(1−csc3θ)+c−3ln⁡(1−csc⁡3θ)+c
c.
−13ln(1−cot2θ)+c−13ln⁡(1−cot⁡2θ)+c
d.
13ln(1−cot3θ)+c13ln⁡(1−cot⁡3θ)+c

Question 7
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Evaluate   ∫xsin3x2dx∫xsin⁡3x2dx
Select one:
a.
−13sin3x2+c−13sin⁡3x2+c
b.
−16sin3x2+c−16sin⁡3x2+c
c.
  −16cos3x2+c−16cos⁡3x2+c
d.
−13cos3x2+c−13cos⁡3x2+c
Question 8
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Question text
∫ cosπxdx∫1x2cos⁡πxdx
Evaluate   1x2

Select one:
a.
−1πcosπx+c−1πcos⁡πx+c
b.
  −1πsinπx+c−1πsin⁡πx+c
c.
1πsinπx+c1πsin⁡πx+c
d.
1πcosπx+c1πcos⁡πx+c

Question 9
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Evaluate   ∫4tan2θdθ∫4tan2⁡θdθ 
Select one:
a.
4tanθ−θ+c4tan⁡θ−θ+c
b.
4tanθ−4θ+c4tan⁡θ−4θ+c
c.
 tanθ−θ+ctan⁡θ−θ+c
d.
tanθ−4θ+ctan⁡θ−4θ+c
Question 10
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Question text
∫
Evaluate  sin3x+cos3xdxcos3x∫sin⁡3x+cos⁡3xdxcos3x  

Select one:
a.
13ln|csc3x|+x+c13ln⁡|csc⁡3x|+x+c
b.
12ln|sec3x|+x+c12ln⁡|sec⁡3x|+x+c
c.
13ln|sec3x|+x+c13ln⁡|sec⁡3x|+x+c
d.
13ln|sin3x|+x+c

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