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Beliebt Rechnen >

integral from 4 to infinity of e^{-x/5}

Lösung

\int_{4}^{\infty} e^{- \frac{x}{5}} d x

Lösung

\frac{5}{e ^{\frac{4}{5}}}

+1

Dezimale

2.24664 \dots

Schritte zur Lösung

\int_{4}^{\infty} e^{- \frac{x}{5}} d x

Berechne das unbestimmte Integral:

\int e^{- \frac{x}{5}} d x = - 5 e^{- \frac{x}{5}} + C

Berechne die Grenzen:

\int_{4}^{\infty} e^{- \frac{x}{5}} d x = 0 - (- \frac{5}{e ^{\frac{4}{5}}})

= 0 - (- \frac{5}{e ^{\frac{4}{5}}})

Vereinfache

= \frac{5}{e ^{\frac{4}{5}}}

Beliebte Beispiele

derivative a^2+4a+5

d er i v a t i v e a^{2} + 4 a + 5

integral of 1/(x^2(x^2-4))

\int \frac{1}{x ^{2} ( x ^{2} - 4 )} d x

derivative of sin(|x|)

\frac{d}{d x} (sin (∣ x ∣))

integral of ((x^4-2x^3+1))/(x^2)

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

integral of (14x+1)sqrt(7x^2+x)

\int (14 x + 1) 7 x^{2} + x d x