Inhalt

A.4.3 Rationale Funktionen mit Exponentialfunktion

\int senh u d u = cosh u + C

\int cosh u d u = senh u + C

\int tanh u d u = ln (cosh u) + C

\int coth u d u = ln ∣ senh u ∣ + C

\int sech u d u = arctan (senh u) + C

\int csch u d u = ln tanh \frac{u}{2} + C

\int sech^{2} u d u = tanh u + C

\int csch^{2} u d u = - coth u + C

\int sech u tanh u d u = - sech u + C

\int csch u coth u d u = - csch u + C