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Mathematics 14 Online
OpenStudy (steve816):

Help

OpenStudy (steve816):

\[\large \int\limits_{}^{}\frac{ x }{ 1+x^4}~dx\]

OpenStudy (steve816):

How to do this using substitution?

zepdrix (zepdrix):

\[\large\rm \int\limits\frac{x}{1+(x^2)^2}dx\] \[\large\rm u=x^2\]

OpenStudy (steve816):

Wow, that makes it so much easier.

OpenStudy (steve816):

I am sooo bad at recognizing these patterns and changing the form

zepdrix (zepdrix):

Well, to be honest, I cheated. I looked at Wolfram and saw that the answer was arctangent. So I knew the integral had to be something like 1/(1+u^2)

OpenStudy (steve816):

Haha, cheater :p

zepdrix (zepdrix):

:3

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