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Deduce the reduction formula for I(n)=in...

Deduce the reduction formula for `I_(n)=int(dx)/(1+x^(4))^(n)` and Hence evaluate `I_(2)=int(x)/(1+x^(4))^(2)`.

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To solve the problem, we need to derive the reduction formula for \[ I_n = \int \frac{dx}{(1+x^4)^n} \] and then use it to evaluate ...
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