Integral

TARGET DECK Mathematics::Integral

$\int {\sin }^{-1}xdx$::$x{\sin }^{-1}x+\sqrt{1-x^2}+C$

$\int {\cos }^{-1}xdx$::$x{\cos }^{-1}x-\sqrt{1-x^2}+C$

$\int {\tan }^{-1}xdx$::$x{\tan }^{-1}x-\frac{1}{2}\ln (1+x^2)+C$

$\int \sinh xdx$::$\cosh x+C$

$\int \cosh xdx$::$\sinh x+C$

$\int {\mathrm{sech}}^{2}xdx$::$\tanh x+C$

$\int {\mathrm{csch}}^{2}xdx$::$-\coth x+C$

$\int \mathrm{sech}x\tanh xdx$::$-\mathrm{sech}x+C$

$\int \mathrm{csch}x\coth xdx$::$-\mathrm{csch}x+C$