Calculus integrals and derivatives

Antiderivative of \left(a\right)^{x}

\frac{\left(a\right)^{x}}{\ln\left(a\right)}+C

Antiderivative of \left(x\right)^{-1} or \frac{1}{x}

\ln\left(x\right)+C

Antiderivative of \left(e\right)^{x}

\left(e\right)^{x}+C

Antiderivative of sin(x)

-cos(x) + C

Antiderivative of cos(x)

sin(x) + C

Antiderivative of tan(x)

ln|sec(x)| + C

Antiderivative of cot(x)

ln|sin(x)| + C

Antiderivative of sec(x)

ln|sec(x) + tan(x)| + C

Antiderivative of csc(x)

-ln|csc(x)+cot(x)| + C

Antiderivative of sec(x)tan(x)

sec(x) + C