de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 1 to 3 of xe^{x^2}

Lösung

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

Lösung

\frac{e ^{9} - e}{2}

+1

Dezimale

4050.18282 \dots

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{1}^{9} \frac{e ^{u}}{2} d u

Entferne die Konstante:

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

= \frac{1}{2} \cdot \int_{1}^{9} e^{u} d u

Nutze das gemeinsame Integral :

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

= \frac{1}{2} [e^{u}]_{1}^{9}

Berechne die Grenzen:

e^{9} - e

= \frac{1}{2} (e^{9} - e)

Vereinfache

= \frac{e ^{9} - e}{2}

Graph

Beliebte Beispiele

derivative of arccos(1-2x^2)

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

fläche y=6-6x,y=0,x=0

a re a y = 6 - 6 x, y = 0, x = 0

(\partial)/(\partial x)(-x^2+2xy-y^2)

\frac{\partial}{\partial x} (- x^{2} + 2 x y - y^{2})

integral of csc^4(3x)

\int csc^{4} (3 x) d x

integral of x/(1-x^2)

\int \frac{x}{1 - x ^{2}} d x