integral from 0 to pi of e^{2x}cos(x)

Lösung

\int_{0}^{π} e^{2 x} cos (x) d x

\frac{- 2 e ^{2 π} - 2}{5}

Dezimale

- 214.59666 \dots

Schritte zur Lösung

\int_{0}^{π} e^{2 x} cos (x) d x

Berechne das unbestimmte Integral:

\int e^{2 x} cos (x) d x = \frac{e ^{2 x} sin ( x )}{5} + \frac{2 e ^{2 x} cos ( x )}{5} + C

Berechne die Grenzen:

\int_{0}^{π} e^{2 x} cos (x) d x = - \frac{2 e ^{2 π}}{5} - \frac{2}{5}

= - \frac{2 e ^{2 π}}{5} - \frac{2}{5}

Vereinfache

= \frac{- 2 e ^{2 π} - 2}{5}

\int_{1}^{e} \frac{1}{x} d x

\int_{0}^{\frac{π}{2}} \frac{x}{x ^{2} - 1} d x

\int_{0}^{\frac{1}{11}} x ln (11 x) d x

\int_{- 3}^{- 2} 2 x d x

\int_{0}^{2} (3 - x) (1 - x^{2}) d x