& \int a d x=a x \\ & \int x^{n} d x=\frac{x^{n+1}}{n+1} \quad(n \neq-1) \\ & \int \frac{1}{x} d x=\ln |x| \\ & \int \sin x d x=-\cos x \\ & \int \cos x d x=\sin x \\ & \int \tan x d x=\ln |\sec x| & ...& \int a d x=a x \\ & \int x^{n} d x=\frac{x^{n+1}}{n+1} \quad(n \neq-1) \\ & \int \frac{1}{x} d x=\ln |x| \\ & \int \sin x d x=-\cos x \\ & \int \cos x d x=\sin x \\ & \int \tan x d x=\ln |\sec x| & \int \sec x d x=\ln |\sec x+\tan x| \\ & \int \csc x d x=\ln |\csc x-\cot x| \\ & \int \cot x d x=\ln |\sin x| \\ & \int e^{x} d x=e^{x} \\ & \int \ln x d x=x \ln x-x \\ & \int a^{x} d x=\frac{a^{x}}{\ln a} \\ & \int \sinh x d x=\cosh x \\ & \int \cosh x d x=\sinh x \\ & \int \tanh x d x=\ln \cosh x
