Millersville University Name
Department of Mathematics
MATH 161, Quiz 9
April 16, 2004
Please answer the following questions. Your answers will be evaluated on their correctness,
completeness, and use of mathematical concepts we have covered. Please show all work and
write out your work neatly. Answers without supporting work will receive no credit.
1. Evaluate the indefinite integral
Z1
√x(√x+ 1)2dx.
Let
u=√x+ 1
=x1/2+ 1
du =1
2x−1/2dx
2du =x−1/2dx
2du =1
x1/2dx
2du =1
√xdx
then
Z1
√x(√x+ 1)2dx =Z2du
u2
= 2 Z1
u2du
= 2 Zu−2du
= 2 −u−1+C
=−2
u+C
=−2
√x+ 1 +C
