Hullo,

One more question for the night. I need to prove the following:

Let $\displaystyle f $ be a continuous function on $\displaystyle \mathbb{R}$

and define $\displaystyle G(x)=\int_0^{sinx}\; f(t)dt \backepsilon x \in \mathbb{R}. $

Show that $\displaystyle G $ is differentiable on $\displaystyle \mathbb{R} $ and compute $\displaystyle F'. $

Thanks in advance for the help.

-the Doctor