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1. Compute the following definite integrals. Be sure to show the process of partial fractions. a. b. c. d. 2. Consider . Give a sketch of these two functions below. Then find the area bounded between...

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1. Compute the following definite integrals. Be sure to show the process of partial fractions.
a.
.
c.
d.
2. Consider . Give a sketch of these two functions below. Then find the area bounded between these two graphs. Show all your work.

1. Compute the following
a.
.
c. (Challenging problem)
2. Revolve the about the x-axis from x=0 to 5. What is the volume of this solid?
3. Revolve the about the x-axis from x=0 to 2. What is the volume of this solid?
4. Revolve the about the y-axis from y=0 to 5. What is the volume of this solid?
5. Revolve the about the y-axis from y=-4 to 0. What is the volume of this solid?
Answered Same Day Oct 27, 2021

Solution

Rajeswari answered on Oct 27 2021
118 Votes
1. Compute the following
a.
=
=(
=
.
= (using power rule for x+7)
Now substitute higher and lower limits
=728/3
c. (Challenging problem)
We can write
Hence
Given integral =
2. Revolve the about the x-axis from x=0 to 5. What is the volume of this solid?
Volume when rotated...
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