Question

Is the integral of 1/(sqrt(t) +sin(t)) from 0 to pi convergent?

Answer 1

\[\frac{1}{\sqrt{t}+\sin t}\leq \frac{1}{\sqrt{t}}\]

Answer 2

Isn't \[t ^{-1/2}\] divergent?

Answer 3

yes.

BUT the integral of \(t^{-1/2}\)?

Answer 4

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

Answer 5

Ah, I get it now, Thanks again

Answer 6

yw.