physicsfan24
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Question:
\int^{1}_{-1} \frac{dx}{(1+x^4)}
I attempt:
u = x^2,
so x= u^1/2
dx= 1/2 u^(-1/2)
Which gives me \int^{1}_{1} \frac{1}{(1+x^4)} * \frac{1}{(2u^1/2)}du, 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? :/
\int^{1}_{-1} \frac{dx}{(1+x^4)}
I attempt:
u = x^2,
so x= u^1/2
dx= 1/2 u^(-1/2)
Which gives me \int^{1}_{1} \frac{1}{(1+x^4)} * \frac{1}{(2u^1/2)}du, 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? :/