integral from 0 to e of a^x

Lösung

\int_{0}^{e} a^{x} d x

\frac{a ^{e} - 1}{ln ( a )}

Schritte zur Lösung

\int_{0}^{e} a^{x} d x

\int a^{x} d x = \frac{a ^{x}}{ln a}

= [\frac{a ^{x}}{ln ( a )}]_{0}^{e}

Berechne die Grenzen:

\frac{a ^{e}}{ln ( a )} - \frac{1}{ln ( a )}

= \frac{a ^{e}}{ln ( a )} - \frac{1}{ln ( a )}

Vereinfache

= \frac{a ^{e} - 1}{ln ( a )}

\frac{\partial}{\partial v} (u^{2} - v^{2})

\int - 3 cos (2 x) d x

\int \frac{2 ^{x}}{x} d x

\int 1 - 6 x d x

\int_{0}^{\frac{π}{4}} cot (x) d x