Question

The value of $\smallint \frac{{x\,\,\cos \,\,x + 1}}{{\sqrt {2{x^3}\,{e^{\sin x}} + \,\,{x^2}} }}\,\,dx$ is

Accepted Answer

$ln\;\left| {\,\frac{{\sqrt {2x\,\;{e^{\sin x}} + \,\,1} - 1}}{{\sqrt {2x\,\;{e^{\sin x}} + \,\,1} + 1}}\,} \right| + C$

Answer

$ln\,\;\left| {\,\frac{{\sqrt {2x\,\;{e^{\sin x}} - \,\,1} - 1}}{{\sqrt {2x\,\;{e^{\sin x}} - \,\,1} + 1}}\,} \right| + C$

Answer

$ln\,\;\left| {\,\frac{{\sqrt {2x\;{e^{\sin x}} - 1} + 1}}{{\sqrt {2x\;{e^{\sin x}} - 1} - 1}}\,} \right| + C$

Answer

$ln\;\,\left| {\,\frac{{\sqrt {2x\;{e^{\sin x}} + 1} + 1}}{{\sqrt {2x\;{e^{\sin x}} - 1} + 1}}\,} \right| + C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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