Original
In your own words, explain why Devyn and Riley claim we should never
pick {{MATH_40}} or {{MATH_41}} to be the entire integrand.
{{CMD_42}}
The goal of substitution is to make the integral easier to do. Your choices
for {{MATH_43}} and {{MATH_44}} should make things easier, not harder!
Unless the derivative of {{MATH_45}} is {{MATH_46}}, choosing {{MATH_47}} to be the entire
integrand means that you don't have any part of the integrand left to be
the derivative of {{MATH_48}}. Choosing {{MATH_49}} means that {{MATH_50}}, meaning
that you haven't simplified the integral at all.
{{CMD_51}}
{{CMD_52}}