| $\int{\sinh(u)}\;du = \cosh(u)$ |
| $\int{\cosh(u)}\;du= \sinh(u)$ |
| $\int\tanh(u)\;du=\ln(\cosh(u))$ |
| $\int\coth(u)\;du=\ln(\sinh(u))$ |
| $\int\operatorname{sech}(u)\;du=\sin^{-1}(\tanh(u)\;eller\;2·\tanh^{-1}(e^u)$ |
| $\int\operatorname{csch}(u)\;du=\ln(\tanh(\frac{u}{2})\;eller\;-\coth^{-1}(e^u)$ |
| $\int\operatorname{sech}^2(u)\;du=\tanh(u)$ |
| $\int\operatorname{csch}^2(u)\;du=-\coth(u)$ |
| $\int\tanh^2(u)\;du=u-\tanh(u)$ |
| $\int\coth^2(u)\;du=u-\coth(u)$ |
| $\int\sinh^2(u)\;du=\frac{\sinh(2U)}{4}-\frac{u}{2}=\frac{1}{2}(\sinh(u)·\cosh(u)-u)$ |
| $\int\cosh^2(u)\;du=\frac{\sinh(2u)}{4}+\frac{u}{2}=\frac{1}{2}(\sinh(u)·\cosh(u)+u)$ |
| $\int\operatorname{sech}(u)· \tanh(u)\;du=-\operatorname{sech}(u)$ |
| $\int\operatorname{csch}(u)· \coth(u)\;du=-\operatorname{csch}(u)$ |
Se trigonometriske integraler (sin, cos, tan, cot, sec, csc) her
