integral from 0 to 1.5 of e^{-x}cos(x)

Lösung

\int_{0}^{1.5} e^{- x} cos (x) d x

0.60339 \dots

Schritte zur Lösung

\int_{0}^{1.5} 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}^{1.5} e^{- x} cos (x) d x = 0.10339 \dots - (- \frac{1}{2})

= 0.10339 \dots - (- \frac{1}{2})

Vereinfache

= 0.60339 \dots

\int_{- 2}^{2} x^{2} (4 - x^{2}) d x

\int_{0}^{\frac{1}{5}} x ln (5 x) d x

\int_{0}^{2} (\frac{x}{1 + x ^{4}}) d x

\int_{1}^{3} (x + 4) d x

\int_{- \infty}^{0} x 2^{- x^{2}} d x