Intergrate 1/sqrt(2+x^4)

[Clifford]

Intergrate 1/sqrt(2+x^4) from tanx to x^2.

I have no idea how to solve this integral. This question is from the general integral section, so I don't think we are suppose to do use any substitution techniques or by parts or anything. Somebody willing to help me out? Thanks

 

[galactus]

Are you studying the second fundamental theorem of calculus?.

One thing you have is a dependent limit.

\(\displaystyle \int_{tan(x)}^{x^{2}}\frac{1}{\sqrt{2+t^{4}}}dt\)

This isn't easily integrable.

Try using \(\displaystyle \frac{d}{dx}\int_{h(x)}^{g(x)}{f(t)}dt=f(g(x))g'(x)-f(h(x))h'(x)\)

Just a thought.