$\int \frac{d x}{x\left(x^2+1\right)^3}=$

$\int \frac{d x}{x\left(x^2+1\right)^3}=$
  1. $\frac{1}{2\left(x^2+1\right)}+\frac{1}{4\left(x^2+1\right)^2}+\log \sqrt{\frac{x^2}{x^2+1}}+c$
  2. $\frac{1}{x^2+1}+\frac{1}{2\left(x^2+1\right)^2}+\log \sqrt{\frac{x}{x^2+1}}+c$
  3. $\frac{1}{2\left(x^2+1\right)}+\frac{1}{4\left(x^2+1\right)^3}+\log \sqrt{\frac{x}{x+1}}+c$
  4. $\frac{2}{x^2+1}-\frac{1}{4\left(x^2+1\right)^2}-\log \sqrt{\frac{x}{x+1}}+c$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (24 Apr Shift 2)

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