Question

$\smallint \,\,\left| {\,x\,} ight|\,\,\log \,\,\left| {\,x\,} ight|\,\,dx$ equals $\left( {x 
e 0} ight)$

Accepted Answer

$\frac{1}{2}x\,\,\left| {\,x\,} \right|\,\,\log \,\,\,\left| {\,x\,} \right|\,\, - \,\,\frac{1}{4}\,\,x\,\,\left| {\,x\,} \right|\,\, + \,\,c$

Answer

$\frac{{{x^2}}}{2}\,\,\log \,\,\left| {\,x\,} \right| - \,\,\frac{{{x^2}}}{4}\,\, + \,\,c$

Answer

$\frac{1}{2}x\,\,\left| {\,x\,} \right|\,\,\log \,\,x + \frac{1}{4}\,\,x\,\,\left| {\,x\,} \right|\,\, + \,\,c$

Answer

$ - \,\,\frac{{{x^2}}}{2}\,\,\log \,\,\left| {\,x\,} \right|\,\, + \,\,\frac{{{x^2}}}{4}\, + \,\,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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