Question

I'm using u substitution to do this integral. I understand how to do the integral, but I don't know how adjust the limits of the integral. So....
Int from pi/2 to 3pi/4 of sin(^5)x*cos(^3)xdx
=Int from pi/2 to 3pi/4 of sin(^5)x*(1-sin(^2)x)*cosxdx
u=sinx du=cosxdx
....so now how do i adjust the limits (from pi/2 to 3pi/4) of the integral

Answer 1

plug in the original limits in whatever you used for u. if you used sinx, plug in the limits in x and you have your new limits

Answer 2

Think of the original limits as from x=pi/2 to 3pi/4.
The new limits are now:
u=sin(pi/2) to u=sin(3pi/4).
since the variable of integration is now u.

Answer 3

I see...thank you

Answer 4

You're welcome!