Question

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

Accepted Answer

$4 \int \frac{d u}{8-3 u^2}$ where $u=\sqrt{1-z^2}, z=\frac{1}{t} 	ext{ and } x+\frac{1}{2}=\frac{t \sqrt{5}}{2}$

Answer

$4 \int \frac{d u}{8+3 u^2}$ where $u=\sqrt{1-z^2}, z=\frac{1}{t}$ and $x+\frac{1}{2}=\frac{t \sqrt{5}}{2}$

Answer

$5 \int \frac{d u}{5+3 u^2}$ where $u=\sqrt{1-z^2}, z=\frac{1}{t}$ and $x+\frac{1}{2}=\frac{t \sqrt{5}}{2}$

Answer

$5 \int \frac{d u^2}{8 u^2-3}$ where $u=\sqrt{1-z^2}, z=\frac{1}{t}$ and $x+\frac{1}{2}=\frac{t \sqrt{5}}{2}$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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