Original
Compute:
{{MATH_23}}
{{CMD_24}}
Here it is not apparent that the chain rule is involved. However, if
it was involved, perhaps a good guess for {{MATH_25}} would be
{{MATH_26}}
and then
{{ENV_27}}
Now we consider the integral we are trying to compute
{{MATH_28}}
and we substitute using our work above. Write with me
{{ENV_29}}
However, we cannot continue until each {{MATH_30}} is replaced. We know that
{{ENV_31}}
so now we may replace {{MATH_32}}
{{MATH_33}}
At this point, we are close to being done. Write
{{ENV_34}}
Now recall that {{MATH_35}}. Hence our final answer is
{{MATH_36}}
{{CMD_37}}
{{CMD_38}}