how do I change the limit when I do u substitution
$$\int_{0}^{\frac{\pi}{2}} cos^{5}xdx$$
$$\int (1-u^{2})^{2} du$$

Question

anonymous · Answer

And which substitution are you choosing to do here?  Just to be sure

anonymous · Answer

u=sinx
du=cosx dx

anonymous · Answer

Alright, just checking your understanding ;-D

simple:
u = sin(x)
so...

sin(0)=0
sin($\frac{\pi}{2}$)=1

anonymous · Answer

If you substitute back at the end, you can change the integrand back to what it was originally.

The key thing to remember is the limits of integration MUST match the variable expressed.

anonymous · Answer

thanks agent