How do you integrate # x^3((x^4)+3)^5 dx#?
1 Answer
May 3, 2016
Explanation:
We have the integral
#intx^3(x^4+3)^5dx#
This can be solved fairly simply through substitution: we don't have to go through the hassle of expanding the binomial and then integrating term by term.
Let
#intx^3(x^4+3)^5dx=1/4int(x^4+3)^5*4x^3dx=1/4intu^5du#
Integrating this results in