de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 2 to 4 of xe^{x/2}

Lösung

\int_{2}^{4} x e^{\frac{x}{2}} d x

Lösung

4 e^{2}

+1

Dezimale

29.55622 \dots

Schritte zur Lösung

\int_{2}^{4} x e^{\frac{x}{2}} d x

Wende U-Substitution an

= \int_{1}^{2} 4 e^{u} u d u

Entferne die Konstante:

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

= 4 \cdot \int_{1}^{2} e^{u} u d u

Wende die partielle Integration an

= 4 [e^{u} u - \int e^{u} d u]_{1}^{2}

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

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

Berechne die Grenzen:

e^{2}

= 4 e^{2}

Graph

Beliebte Beispiele

derivative f(x)= 1/(sqrt(2x-1))

d er i v a t i v e f (x) = \frac{1}{2 x - 1}

integral of (28)/(28+e^x)

\int \frac{28}{28 + e ^{x}} d x

limit as x approaches 3+of 6+x

x \to 3 + lim (6 + x)

tangent y= 6/(x^2),(1,6)

t an g e n t y = \frac{6}{x ^{2}}, (1, 6)

integral of 1/(x^2(x^2-9))

\int \frac{1}{x ^{2} ( x ^{2} - 9 )} d x