integral from 0 to pi of e^xcos(x)

Lösung

\int_{0}^{π} e^{x} cos (x) d x

\frac{- e ^{π} - 1}{2}

Dezimale

- 12.07034 \dots

Schritte zur Lösung

\int_{0}^{π} e^{x} cos (x) d x

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

\int_{0}^{π} e^{x} cos (x) d x = - \frac{e ^{π}}{2} - \frac{1}{2}

= - \frac{e ^{π}}{2} - \frac{1}{2}

Vereinfache

= \frac{- e ^{π} - 1}{2}

n = 0 \sum \infty \frac{5}{3 ^{n - 1}}

a re a x^{\frac{1}{5}}, x^{\frac{1}{2}}

x^{^{'}} + x = 0, x (0) = 1

n = 2 \sum \infty \frac{1}{n \cdot ln ( n )}

\int_{0}^{\frac{π}{2}} (sin^{2} (x)) d x