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Beliebt Rechnen >

integral from 0 to 2 of e^{-x}+e

Lösung

\int_{0}^{2} e^{- x} + e d x

Lösung

1 - \frac{1}{e ^{2}} + 2 e

+1

Dezimale

6.30122 \dots

Schritte zur Lösung

\int_{0}^{2} e^{- x} + e d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{2} e^{- x} d x + \int_{0}^{2} e d x

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

\int_{0}^{2} e d x = 2 e

= 1 - \frac{1}{e ^{2}} + 2 e

Graph

Beliebte Beispiele

integral of te^{-6t}

\int t e^{- 6 t} d t

derivative of (2x^2+6x+6/(sqrt(x)))

\frac{d}{d x} (\frac{2 x ^{2} + 6 x + 6}{x})

sum from n=1 to infinity of 4(0.8)^{n-1}

n = 1 \sum \infty 4 (0.8)^{n - 1}

d x + e^{3 x} d y = 0

(d^2)/(dx^2)(-5/x)

\frac{d ^{2}}{d x ^{2}} (- \frac{5}{x})