Question

$\int \frac{d x}{\sqrt[4]{1+x^4}}$ is

Accepted Answer

$\frac{-1}{4} \log _e\left|\frac{\left(1+x^4\right)^{1 / 4}-x}{\left(1+x^4\right)^{1 / 4}+x}\right|-\frac{1}{2} \operatorname{Tan}^{-1}\left(\frac{\left(1+x^4\right)^{1 / 4}}{x}\right)+c$

Answer

$\frac{1}{4} \log _e\left|\frac{\left(1+x^4\right)^{1 / 4}-x}{\left(1+x^4\right)^{1 / 4}+x}\right|+\frac{1}{2} \operatorname{Tan}^{-1}\left(\frac{\left(1+x^4\right)^{1 / 4}}{x}\right)+c$

Answer

$\frac{1}{4} \log _e\left|\frac{(1+x)^{1 / 4}-x}{(1+x)^{1 / 4}+x}\right|-\frac{1}{2} \operatorname{Tan}^{-1}\left(\frac{(1+x)^{1 / 4}}{x}\right)+c$

Answer

$\frac{-1}{4} \log \left|\frac{\left(1+x^4\right)^{1 / 4}-x}{\left(1+x^4\right)^{1 / 4}+x}\right|+\frac{1}{2} \operatorname{Tan}^{-1}\left(\frac{\left(1+x^4\right)^{1 / 4}}{x}\right)+c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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