To review these concepts, go to Antidifferentiation Study Guide.
Antidifferentiation Practice Questions
Evaluate the following integrals.
x5dx- x12dx
- u6du
x2dx
xdx- t–3dt
t5dt
- 3√xdx
- 3√udu
- 5dx
- 5dt
8dx
Evaluate the following integrals.
- 9x4 dx
- 8u2 du
- (x – √x)dx
- (6x2 – 10x + 5) dx
12x3 dx
(3x2 + 4)dx
(6x – 4) dx- (3t11 + 9t2 + t) dt
(1 – t2) dt- (8x3 + 10x2 – 4x + 2) dx
- (10u4 – 4u + 1) du
- 12√xdx
-
dx -
dx
Evaluate the following integrals.
- (x2 – 5cos(x)) dx
- (3ex + 2x3) dx
-
du - (θ + 2sin(θ)) dθ
- (sin(x) + 2ex) dx
(x + ex) dx
1e 
dx
Solutions
x6 + c
x13 + c
u7 + c- 72
- 40
t–2 + c = – 
+ c
x
+ c
x
+ c
u
+ c- 5x + c
- 5t + c
- 40
x5 + c
u3 + c
x2 – 
x + c- 2x3 – 5x2 + 5x + c
- 48
- 11
- 115
- t12 + 3t3 + t2 + c
- –6
- 2x4 +
x3 – 2x2 + 2x + c - 58
- 208
- –
+ c 
x3 – 5sin(x) + c- 3ex + x4 + c
- ln|ul| + c
- θ2 – 2cos(θ) + c
- –cos(x) + 2ex + c
- ( + e1) – (0 + e0) = e –
- 4ln(e) – 4ln(1) = 4 – 0 = 4
- 4√2
Excerpted From:
From Calculus Success in 20 Minutes A Day. Copyright © 2006 by LearningExpress, LLC. All Rights Reserved.
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