Science:Math Exam Resources/Courses/MATH101/April 2015/Question 04 (b)/Solution 1

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Using partial fraction decomposition, we can write the integrand as

for some constants . We find that , which implies that

The first integral on the right-hand side of the equation can be easily evaluated:

On the other hand, to compute the second integral, we can use the substitution . Then and , which gives

Combining these, we obtain