I have to analize the convergence of the following integral:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int_0^1 \frac {x^2+1} {\sqrt x * (1-x)^{5/4}}[/tex]

I tried to divide it between 0-1/2 and 1/2-1 and on the first one i reached to:

[tex]\int_0^{1/2} \frac {x^2+1} {\sqrt x * (1-x)^{5/4}}<=\int_0^{1/2} \frac {x^2+1} {x^{14/4}}[/tex]

can i say that this integral converges and therefore the orgininal converges???, and more important, how would i justify that the last integral converges in an exam????

please correct any mistakes that i probably had made, and forgive me for me awful english.

Many Thanks, Paul.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Improper Integral

**Physics Forums | Science Articles, Homework Help, Discussion**