integral from 1 to infinity of 3/(e^x)

Lösung

\int_{1}^{\infty} \frac{3}{e ^{x}} d x

\frac{3}{e}

Dezimale

1.10363 \dots

Schritte zur Lösung

\int_{1}^{\infty} \frac{3}{e ^{x}} d x

Berechne das unbestimmte Integral:

\int \frac{3}{e ^{x}} d x = - \frac{3}{e ^{x}} + C

Berechne die Grenzen:

\int_{1}^{\infty} \frac{3}{e ^{x}} d x = 0 - (- \frac{3}{e})

= 0 - (- \frac{3}{e})

Vereinfache

= \frac{3}{e}

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

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

\int_{1}^{e} (11 + ln (x))^{2} d x

\int_{0}^{10} 3 x^{- 2} d x

\int_{1}^{2} (3 x^{2} + 4 x - 2) d x