## anonymous 3 years ago Is the integral of 1/(sqrt(t) +sin(t)) from 0 to pi convergent?

1. anonymous

$\frac{1}{\sqrt{t}+\sin t}\leq \frac{1}{\sqrt{t}}$

2. anonymous

Isn't $t ^{-1/2}$ divergent?

3. anonymous

yes. BUT the integral of $$t^{-1/2}$$?

4. anonymous

don't forget that it is an integral problem...

5. anonymous

Ah, I get it now, Thanks again

6. anonymous

yw.