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Math 138 – Fall 2011
Assignment 1
Due Friday September 23 (in the drop box by 12 noon)
Hand in the following:
1. Find the value of
a
that makes the equation
8 +
Z
x
a
g
(
t
)
t
2
dt
= 8
3
√
x
true for all
x
by ﬁrst solving for
g
(
t
). (assume
x
and
a
are positive)
2. Evaluate the following integrals
(a)
Z
1
x
ln
x
dx
(b)
Z
1

sin
x
1

sin
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Unformatted text preview: 2 x dx 3. Evaluate the following integrals either by trig substitution or by parts (a) Z x arctan( x ) dx (b) Z 1 x 2 √ 4x 2 dx (c) Z 16 3 1 ( s 2 + 9 s ) 3 2 ds 4. Find the area of the region between the circles x 2 + y 2 = 4 and x 2 + y 2 = 4 x...
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This note was uploaded on 02/14/2012 for the course MATH 138 taught by Professor Anoymous during the Fall '07 term at Waterloo.
 Fall '07
 Anoymous
 Math, Calculus

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