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# Assignment 10 Solutions.pdf

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Western University

Mathematics

Mathematics 0110A/B

Chris Brandl

Fall

Description

MATH 127 Fall 2012
Practice Assignment (NOT FOR SUBMISSION)
Topics: Integration, area between curves, volumes of revolution
1. Evaluate the following integrals
Z
4x ▯ 9x 2
(a) dx
x ▯ 3x + 2
Z 2
(b) (3x + 1) dx
3x 3
Z p
e ln(x ) + 1
(c) dx
1 x
Z ▯
4 x
(d) ▯cos (x) dx
▯ 4
2. Find the area of the indicated region.
(a) The region in the ▯rst quadrant bounded above by y = x and y = ▯3x + 4 and
bounded below by the x-axis.
x ▯x
(b) The region bounded below by y = e , bounded above by y = 4e , and x ▯ 0.
2 2

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