Question

$\int \frac{\sin ^4 x}{\sin ^4 x+\cos ^4 x} d x$ is equal to

Accepted Answer

$\frac{1}{2}\left\{x-\frac{1}{2 \sqrt{2}} \log \left|\frac{\sqrt{2}+\sin 2 x}{\sqrt{2}-\sin 2 x}\right|\right\}+C$

Answer

$\frac{1}{2}\left\{x+\frac{1}{2 \sqrt{2}} \log \left|\frac{\sqrt{2}+\sin 2 x}{\sqrt{2}-\sin 2 x}\right|\right\}+C$

Answer

$\frac{1}{2}\left\{x-\frac{1}{2 \sqrt{2}} \log \left|\frac{1+\sin 2 x}{1-\sin 2 x}\right|\right\}+C$

Answer

$\frac{1}{2}\left\{x+\frac{1}{2 \sqrt{2}} \log \left|\frac{1+\sqrt{2} \sin 2 x}{1-\sqrt{2} \sin 2 x}\right|\right\}+C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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