Posted by renee on .
FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD
(X^4-16)^5 X^3 DX
note the x^4 in parentheses, and that d(x^4)/dx = 4x^3, so substituting
y=x^4 would have a good chance of success.
I=∫(X^4-16)^5 X^3 DX
proceed with the power rule and put back y=x^4-16 into I.
Do not forget the integration constant C.