Hello, thedoge!
Let
Substitute: .
Back-substitute: .
integral(x^5*(sqrt(13+x^6))
Here's what I did... but its apparently wrong
1. Realized I needed to use the generalized power rule
2. set x^6+13=u
3. set 6*x^5=du
4. solved for the coeffecient. x^5*Z=du Z=6
so now I have
6*int(u^(1/2))*du
from there i got
(6*u^(3/2))/(3/2)
i plugged in the u...
(6*(x^6+13)^(3/2))/(3/2)
but this is incorrect... what'd i do wrong?