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$\int \frac{d x}{x (x^{4} + 1)}$ is equal to

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a

14log⁡x4+1x4+C

b

14log⁡x4x4+1+C

c

14log⁡x4+1+C

d

none of these

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detailed solution

Correct option is B

∫dxxx4+1=14∫4x3dxx4x4+1=14∫dtt(t+1) t=x4=14∫1t−1t+1dt=14log⁡x4x4+1+C.

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