Standard Integrals 12Oct Derivative Expression Integral -\frac{1}{x^2} \frac{1}{x} ln|x| sec^2x tan x -ln|cos x| n\a cot x ln|sin x| n\a \frac{1}{a^2+x^2} \frac{1}{a}tan^{-1}(\frac{x}{a}) n\a \frac{1}{\sqrt{a^2-x^2}} sin^{-1}(\frac{x}{a}) n\a \frac{1}{\sqrt{a^2+x^2}} sinh^{-1}(\frac{x}{a})