Mathematics

Mathematics

Problem

∫xx4−1 dx=\int \frac{x}{x^4-1}\,dx = (a) 14log⁡[x2−1x2+1]+c\frac{1}{4}\log\left[\frac{x^2-1}{x^2+1}\right]+c (b) 14log⁡[x2+1x2−1]+c\frac{1}{4}\log\left[\frac{x^2+1}{x^2-1}\right]+c (c) 12log⁡[x2−1x2+1]+c\frac{1}{2}\log\left[\frac{x^2-1}{x^2+1}\right]+c (d) 12log⁡[x2+1x2−1]+c\frac{1}{2}\log\left[\frac{x^2+1}{x^2-1}\right]+c (a) 14log⁡[x2−1x2+1]+c\frac{1}{4}\log\left[\frac{x^2-1}{x^2+1}\right]+c (b) 14log⁡[x2+1x2−1]+c\frac{1}{4}\log\left[\frac{x^2+1}{x^2-1}\right]+c (c) 12log⁡[x2−1x2+1]+c\frac{1}{2}\log\left[\frac{x^2-1}{x^2+1}\right]+c (d) 12log⁡[x2+1x2−1]+c\frac{1}{2}\log\left[\frac{x^2+1}{x^2-1}\right]+c

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