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Beliebt Rechnen >

integral from-1 to 2 of |e^x-1|

Lösung

\int_{- 1}^{2} ∣ e^{x} - 1 ∣ d x

Lösung

\frac{1}{e} + e^{2} - 3

+1

Dezimale

4.75693 \dots

Schritte zur Lösung

\int_{- 1}^{2} ∣ e^{x} - 1 ∣ d x

Entferne die Extremwerte

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

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

\int_{0}^{2} e^{x} - 1 d x = e^{2} - 3

= \frac{1}{e} + e^{2} - 3

Graph

Beliebte Beispiele

inverselaplace 2/(s+1)+(32s)/(s^2+9)

in v erse l a pl a ce \frac{2}{s + 1} + \frac{32 s}{s ^{2} + 9}

derivative of 2x^{-1/2}

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

integral of y^{1/7}

\int y^{\frac{1}{7}} d y

d/(dθ)(2/(sin(θ)))

\frac{d}{d θ} (\frac{2}{sin ( θ )})

(dy)/(dx)=-(y^2)/(1+y^2)e^{-x},y(0)=1

\frac{d y}{d x} = - \frac{y ^{2}}{1 + y ^{2}} e^{- x}, y (0) = 1