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

flashcards

QuestionAnswer
e^{kx} derivativeske^{kx}
\ln x derivative\frac{1}{x}
\frac1x derivative-x^{-2}
\sin x derivative\cos x
\cos x derivative-\sin x
-\sin x derivative-\cos x
-\cos x derivative\sin x
What is the integral of e^{kx}?\frac{1}{k}e^{kx} + c
What is the integral of \frac1x?$\ln
What is the integral of \sin x?-\cos x + c
What is the integral of \cos x?\sin x + c
What is the integral of -\sin x?\cos x + c
What is the integral of -\cos x?-\sin x + c