Help with Integral

[ismayil986]

Hello!I need help with solving this Integral.I tried a lot of methods like u-substitution, integration by parts, fractional integration and trig substitution but no one of them works.I kindly ask someone to help me with solution.Thank you in advance!

 

[MarkFL]

Are we are given:

[MATH]I=\int\frac{1}{(x^4+1)\sqrt[4]{x^4+2}}\,dx[/MATH]
or:

[MATH]I=\int\frac{1}{(x^4+1)^4\sqrt{x^4+2}}\,dx[/MATH]

 

[Deleted member 4993]

Hello!I need help with solving this Integral.I tried a lot of methods like u-substitution, integration by parts, fractional integration and trig substitution but no one of them works.I kindly ask someone to help me with solution.Thank you in advance!

Please share your work with 'u' substitution.

 

[ismayil986]

Are we are given:

[MATH]I=\int\frac{1}{(x^4+1)\sqrt[4]{x^4+2}}\,dx[/MATH]
or:

[MATH]I=\int\frac{1}{(x^4+1)^4\sqrt{x^4+2}}\,dx[/MATH]

The first one which is:
[MATH]I=\int\frac{1}{(x^4+1)\sqrt[4]{x^4+2}}\,dx[/MATH]

 

[Deleted member 4993]

Hello!I need help with solving this Integral.I tried a lot of methods like u-substitution, integration by parts, fractional integration and trig substitution but no one of them works.I kindly ask someone to help me with solution.Thank you in advance!

This one, I would suggest, you should cry uncle and go over to Wolframalpha (I did).

 

[ismayil986]

Please share your work with 'u' substitution.

I tried u-substitution in 2 ways and got stuck in both of them....This is one of the hardest integral problems i think..