de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 4 to 1 of 2e^{(x+3)}

Lösung

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

Lösung

- 2 e^{7} + 2 e^{4}

+1

Dezimale

- 2084.07001 \dots

Schritte zur Lösung

\int_{4}^{1} 2 e^{x + 3} d x

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

= - \int_{1}^{4} 2 e^{x + 3} d x

Entferne die Konstante:

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

= - 2 \cdot \int_{1}^{4} e^{x + 3} d x

e^{x + 3} = e^{3} e^{x}

= - 2 \cdot \int_{1}^{4} e^{3} e^{x} d x

Entferne die Konstante:

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

= - 2 e^{3} \cdot \int_{1}^{4} e^{x} d x

Nutze das gemeinsame Integral :

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

= - 2 e^{3} [e^{x}]_{1}^{4}

Berechne die Grenzen:

e^{4} - e

= - 2 e^{3} (e^{4} - e)

Vereinfache

= - 2 e^{7} + 2 e^{4}

Graph

Beliebte Beispiele

derivative of ln(4(x))

\frac{d}{d x} (ln (4) (x))

y^{''}-2y^'=8sin(x)+2xe^x

y^{^{''}} - 2 y^{^{'}} = 8 sin (x) + 2 x e^{x}

integral of (x+x^2)

\int (x + x^{2}) d x

derivative of 4-5sin(2x+pi/4)

\frac{d}{d x} (4 - 5 sin (2 x + \frac{π}{4}))

tangent f(x)=2xsqrt(1-3x),\at x=-2

t an g e n t f (x) = 2 x 1 - 3 x, at x = - 2