Question

$\smallint \,\,{x^{51}}\,\,\left( {{{	an }^{ - 1}}\,\,x\,\, + \,\,{{\cot }^{ - 1}}\,\,x} ight)\,\,dx$

Accepted Answer

$\frac{{{x^{52}}}}{{52}}\,\,\left( {{{	an }^{ - 1}}\,\,x\,\, + \,\,{{\cot }^{ - 1}}\,\,x} ight)\,\, + \,\,c$

Answer

$\frac{{{x^{52}}}}{{52}}\,\,\left( {{{	an }^{ - 1}}\,\,x\,\, - \,\,{{\cot }^{ - 1}}\,\,x} ight) + c$

Answer

$\frac{{\pi {x^{52}}}}{{104}}\,\, + \,\,\frac{\pi }{2}\,\, + \,\,c$

Answer

$\frac{{{x^{52}}}}{{52}}\,\, + \,\,\frac{\pi }{2}\,\, + \,\,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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