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Beliebt Rechnen >

integral from-14 to 7 of (7e^x)

Lösung

\int_{- 14}^{7} (7 e^{x}) d x

Lösung

7 (e^{7} - \frac{1}{e ^{14}})

+1

Dezimale

7676.43210 \dots

Schritte zur Lösung

\int_{- 14}^{7} 7 e^{x} d x

Entferne die Konstante:

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

= 7 \cdot \int_{- 14}^{7} e^{x} d x

Nutze das gemeinsame Integral :

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

= 7 [e^{x}]_{- 14}^{7}

Berechne die Grenzen:

e^{7} - \frac{1}{e ^{14}}

= 7 (e^{7} - \frac{1}{e ^{14}})

Graph

Beliebte Beispiele

integral from 0 to 3 of (3x^2-4x+1)

\int_{0}^{3} (3 x^{2} - 4 x + 1) d x

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\frac{d}{d x} (x sin (\frac{y}{x}))

(\partial)/(\partial x)(cos(x)cos(y)e^z)

\frac{\partial}{\partial x} (cos (x) cos (y) e^{z})

integral of 1/((x-7)^2)

\int \frac{1}{( x - 7 ) ^{2}} d x

y^{''}-5y^'-6y=12e^{2t}

y^{^{''}} - 5 y^{^{'}} - 6 y = 12 e^{2 t}