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[tex]\int^{1}_{-1} \frac{dx}{(1+x^4)} [/tex]

I attempt:

u = x^2,

so x= u^1/2

dx= 1/2 u^(-1/2)

Which gives me [tex]\int^{1}_{1} \frac{1}{(1+x^4)} * \frac{1}{(2u^1/2)}du[/tex], which is 0. Thats not the answer as seen by any graphing utility.

Where is this error? I do not know integration by parts. I just wish to know why my logic fails.

Any help? :/

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# Homework Help: Integration by Substitution fails

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