Integration By Parts - Worksheet 5.4 Page 4

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Calculus Maximus
WS 5.4: Integration by Parts
9. A slowing force, symbolized by the “Dashpot” in the figure at right, slows
the motion of the weighted spring so that the mass’s position at time t is given
t
t  . Find the average position of the mass on the
by
y
2
e
cos
t
,
0
interval
t
0, 2
. Give an exact answer, then verify on your calculator.
10. Using u-substitution and then integration by parts, evaluate sin xdx
.
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