Integration and averages?

[OhhCalculus]

z(t)=4tsin(t^2) [0, ?^1/2]

I used the general average equation and attempted to replace t^2 with u and all that, but it got pretty confusing. I can do these types of problems, yet when they shove the extra part that you have to use substitution for I get confused. Any input would be lovely.

 

[tkhunny]

u = t^2

dt = 2t dt

Let's see your substitution. I don't understand why it would get confusing.

 

[Deleted member 4993]

Don't forget to change the limits of integration.