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Question Number 37179 by rahul 19 last updated on 10/Jun/18

$$\int \frac{3x^2+1}{{(x^2-1)}^3}dx=?$$

Commented by rahul 19 last updated on 10/Jun/18

$$\mathrm{ok}\mathrm{sir}.$$

Commented by rahul 19 last updated on 10/Jun/18

$$\mathrm{I}\mathrm{hve}\mathrm{done}\mathrm{this}\mathrm{by}\mathrm{partial}\mathrm{fractions}$$$$\mathrm{but}{\mathrm{it}}^{\prime }\mathrm{s}\mathrm{very}\mathrm{lengthy}.\mathrm{Someone}\mathrm{pls}$$$$\mathrm{explain}\mathrm{step}5\mathrm{in}\mathrm{pic}.\mathrm{given}\mathrm{below}:$$

Commented by rahul 19 last updated on 10/Jun/18

Commented by prakash jain last updated on 10/Jun/18

$$\mathrm{Third}\mathrm{integral}\mathrm{canceled}\mathrm{out}\mathrm{with}1\mathrm{st}$$$$\int \frac{4x}{{(x^2-1)}^3}dx=-\frac{1}{{(x^2-1)}^2}$$

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