1. Evaluate the integral S, x³dx A. 15 А. 4 В. 17 4 23 C. D. 27 4 4

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 34E
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For items 1-4, evaluate the given integrals by applying either the FTOC or Substitution Technique.
For item number 5, find the area of the region bounded by the graphs of the given equations. Please show me the whole solution with explanations.

1. Evaluate the integral , x³dx
15
17
B. 7
23
27
A.
C.
4
D.
2. Evaluate the integral S,'12x – 6|dx
A. 4
В.5
C. 6
D. 7
3. Evaluate the integral , 2xv1– x²dx
c.
A. !
В.
2
D.
4. Evaluate the integral ,x· e*²-1dx
e®+1
В.
D. -
e®+1
A.
5. Find the area under the curve of y = sin x and x = 0 on the interval 0 < x <
C.-
2
A.
В. 1
c.
D. 2
Transcribed Image Text:1. Evaluate the integral , x³dx 15 17 B. 7 23 27 A. C. 4 D. 2. Evaluate the integral S,'12x – 6|dx A. 4 В.5 C. 6 D. 7 3. Evaluate the integral , 2xv1– x²dx c. A. ! В. 2 D. 4. Evaluate the integral ,x· e*²-1dx e®+1 В. D. - e®+1 A. 5. Find the area under the curve of y = sin x and x = 0 on the interval 0 < x < C.- 2 A. В. 1 c. D. 2
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