Common calculus results

expressionDerivativeIntegral
e^{kx}ke^{kx}\frac{1}{k}e^{kx} + c
\ln x\frac{1}{x}N/A
\frac1x-x^{-2}\ln|x|
\sin x\cos x-\cos x + c
\cos x-\sin x\sin x + c
-\sin x-\cos x\cos x + c
-\cos x\sin x-\sin x + c