\pytag{CalculusTable}{%
\frac{d}{d x} \sin{\left (x \right )}&=\cos{\left (x \right )}\quad & \quad%
\int \sin{\left (x \right )}\, dx&=- \cos{\left (x \right )}\\%
\frac{d}{d x} \cos{\left (x \right )}&=- \sin{\left (x \right )}\quad & \quad%
\int \cos{\left (x \right )}\, dx&=\sin{\left (x \right )}\\%
\frac{d}{d x} \tan{\left (x \right )}&=\tan^{2}{\left (x \right )} + 1\quad & \quad%
\int \tan{\left (x \right )}\, dx&=- \log{\left (\cos{\left (x \right )} \right )}\\%
\frac{d}{d x} \operatorname{asin}{\left (x \right )}&=\frac{1}{\sqrt{- x^{2} + 1}}\quad & \quad%
\int \operatorname{asin}{\left (x \right )}\, dx&=x \operatorname{asin}{\left (x \right )} + \sqrt{- x^{2} + 1}\\[5pt]%
\frac{d}{d x} \operatorname{acos}{\left (x \right )}&=- \frac{1}{\sqrt{- x^{2} + 1}}\quad & \quad%
\int \operatorname{acos}{\left (x \right )}\, dx&=x \operatorname{acos}{\left (x \right )} - \sqrt{- x^{2} + 1}\\[5pt]%
\frac{d}{d x} \operatorname{atan}{\left (x \right )}&=\frac{1}{x^{2} + 1}\quad & \quad%
\int \operatorname{atan}{\left (x \right )}\, dx&=x \operatorname{atan}{\left (x \right )} - \frac{\log{\left (x^{2} + 1 \right )}}{2}\\[5pt]%
\frac{d}{d x} \sinh{\left (x \right )}&=\cosh{\left (x \right )}\quad & \quad%
\int \sinh{\left (x \right )}\, dx&=\cosh{\left (x \right )}\\%
\frac{d}{d x} \cosh{\left (x \right )}&=\sinh{\left (x \right )}\quad & \quad%
\int \cosh{\left (x \right )}\, dx&=\sinh{\left (x \right )}\\%
\frac{d}{d x} \tanh{\left (x \right )}&=- \tanh^{2}{\left (x \right )} + 1\quad & \quad%
\int \tanh{\left (x \right )}\, dx&=x - \log{\left (\tanh{\left (x \right )} + 1 \right )} %
}
