$\int_{{}}^{{}}{{{x}^{51}}({{ an }^{-1}}x+{{\cot }^{-1}}x)\ dx=}$

Question

$\int_{{}}^{{}}{{{x}^{51}}({{	an }^{-1}}x+{{\cot }^{-1}}x)\ dx=}$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

indefinite-integration