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 2 of 2r^2ln(r)

Lösung

\int_{1}^{2} 2 r^{2} ln (r) d r

Lösung

2 (- \frac{7}{9} + \frac{8}{3} ln (2))

+1

Dezimale

2.14122 \dots

Schritte zur Lösung

\int_{1}^{2} 2 r^{2} ln (r) d r

Entferne die Konstante:

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

= 2 \cdot \int_{1}^{2} r^{2} ln (r) d r

Wende die partielle Integration an

= 2 [\frac{1}{3} r^{3} ln (r) - \int \frac{r ^{2}}{3} d r]_{1}^{2}

\int \frac{r ^{2}}{3} d r = \frac{r ^{3}}{9}

= 2 [\frac{1}{3} r^{3} ln (r) - \frac{r ^{3}}{9}]_{1}^{2}

Berechne die Grenzen:

- \frac{7}{9} + \frac{8}{3} ln (2)

= 2 (- \frac{7}{9} + \frac{8}{3} ln (2))

Graph

Beliebte Beispiele

integral of 0.75e

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

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

integral of 2x-6y

(\partial)/(\partial x)(x^4y-2x^3y^2)