If
, then
Evaluate
Substitute
so that
.
Thus,
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Thus,
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If we substitute so that
, then
Indeed, if
and
, then
. Thus, by the fundamental theorem of
calculus,
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Evaluate
Set , then
.
So,
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Evaluate
Write
Set
. Then
.
Thus,
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Compute
Break the integral into two summands,
and
. We compute these separately.
For the former, set
so that
. Thus,
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For the latter part, set and
. Then,
and
. So that
Combining these,
Evaluating,
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So,