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Integration by substitution

Total questions: 7

Worksheet time: 21mins

Name
Class
Date
1.

∫ sin (2x) dx

a)

cos(2x) + C

b)

- (1/2) cos(2x) + C

c)

- cos(2x) + C

d)

(1/2) cos(2x) + C

2.

∫ 6 x (x2 +1 )2 dx

a)

( x2 + 1)3 + C

b)

3 ( x2 + 1)3 + C

c)

( x2 + 1)1 + C

d)

6 ( x2 + 1)3 + C

3.

∫ e2x dx

a)

e2x + C

b)

2 e2x + C

c)

(1/2) ex + C

d)

(1/2) e2x + C

4.

∫ (2 - x)5 dx

a)

-5 (2 - x )4 + C

b)

( 2 - x )6 + C

c)

(1/6) ( 2 - x )6 + C

d)

-(1/6) ( 2 - x )6 + C

5.

∫ x ∛(x2 + 7 ) dx

a)

(3/4) ∛( x2+ 7 )4 + C

b)

(3/8) ∛( x2+ 7 )4 + C

c)

∛( x2+ 7 )4 + C

d)

(3/2) ∛( x2+ 7 )4 + C

6.

∫ 2x cos(x2) dx

a)

sin(x2) + C

b)

2 sin(x2) + C

c)

(1/2) sin(x2) + C

d)

4 cos(x2) + C

7.

∫5 · 25x dx

a)

5 · (25x) + C

b)

25 · 25x - 1 + C

c)

(25x) / ln(2) + C

d)

(1/5) 25x + C