2. Evaluate the following: 1 - dt 1+t? d ctanx а. dx 2 b. f(8-2x) dx x' +1 dx x+1 С. 3. Evaluate the following definite integrals using a change of variables. 12 sin(2x) dx а. b. x Vx+1 dx 4. Find the area of the region bounded by the graph of f(x) = 4 – x², the x-axis, and the vertical lines x = 1 and x = 2.

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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b.
2. Evaluate the following:
1
dt
1+t?
d ctan x
а.
dx 2
b. [ (8-2x) dx
x’ +1
dx
x+1
C.
3. Evaluate the following definite integrals using a change of variables.
(? sin(2x) dx
а.
b. x Vx+1
1 dx
4. Find the area of the region bounded by the graph of f(x) = 4 – x², the
x-axis, and the vertical lines x = 1 and x = 2.
Transcribed Image Text:b. 2. Evaluate the following: 1 dt 1+t? d ctan x а. dx 2 b. [ (8-2x) dx x’ +1 dx x+1 C. 3. Evaluate the following definite integrals using a change of variables. (? sin(2x) dx а. b. x Vx+1 1 dx 4. Find the area of the region bounded by the graph of f(x) = 4 – x², the x-axis, and the vertical lines x = 1 and x = 2.
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