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MATH 1310.03F A Quiz 5 Thursday, October, 26 2000

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Student Number:tex2html_wrap_inline128 No.tex2html_wrap_inline130Marks tex2html_wrap_inline132


(25 Marks) Evaluate the following indefinite integral.
displaymath134

Solution. Step 1. To get partial fraction decomposition.
eqnarray33

Let
displaymath136
This implies
displaymath138

Let x=0. We have 3=2A and A=3/2.

Let x=1. We have 3=-B and B=-3.

Let x=2. We have 4-2+3=2C and C=5/2.

Hence, we have
displaymath158

and
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Step 2. Evaluate the indefinite integral.
eqnarray90




Kunquan Lan
Thu Oct 26 14:44:34 EDT 2000