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Beliebt Rechnen >

integral from 1 to-1 of (3e^x)

Lösung

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

Lösung

- 3 (e - \frac{1}{e})

+1

Dezimale

- 7.05120 \dots

Schritte zur Lösung

\int_{1}^{- 1} 3 e^{x} d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Nutze das gemeinsame Integral :

\int e^{x} d x = e^{x}

= - 3 [e^{x}]_{- 1}^{1}

Berechne die Grenzen:

e - \frac{1}{e}

= - 3 (e - \frac{1}{e})

Graph

Beliebte Beispiele

derivative of xe^{x^3}

\frac{d}{d x} (x e^{x^{3}})

inverselaplace 1/((s+3)^2+4)

in v erse l a pl a ce \frac{1}{( s + 3 ) ^{2} + 4}

x^2y^'-2x^3e^{-1/x}=y

x^{2} y^{^{'}} - 2 x^{3} e^{- \frac{1}{x}} = y

integral of (sin(x))/(cos(2x))

\int \frac{sin ( x )}{cos ( 2 x )} d x

e^{t^2}y^'+(t+ty^2)=0

e^{t^{2}} y^{^{'}} + (t + t y^{2}) = 0