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 4r^4ln(r)

Lösung

\int_{1}^{2} 4 r^{4} ln (r) d r

Lösung

4 (- \frac{31}{25} + \frac{32}{5} ln (2))

+1

Dezimale

12.78456 \dots

Schritte zur Lösung

\int_{1}^{2} 4 r^{4} ln (r) d r

Entferne die Konstante:

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

= 4 \cdot \int_{1}^{2} r^{4} ln (r) d r

Wende die partielle Integration an

= 4 [\frac{1}{5} r^{5} ln (r) - \int \frac{r ^{4}}{5} d r]_{1}^{2}

\int \frac{r ^{4}}{5} d r = \frac{r ^{5}}{25}

= 4 [\frac{1}{5} r^{5} ln (r) - \frac{r ^{5}}{25}]_{1}^{2}

Berechne die Grenzen:

- \frac{31}{25} + \frac{32}{5} ln (2)

= 4 (- \frac{31}{25} + \frac{32}{5} ln (2))

Graph

Beliebte Beispiele

tangent y=2sqrt(x)+1

t an g e n t y = 2 x + 1

y^'+3/x y=0,y(1)=5

y^{^{'}} + \frac{3}{x} y = 0, y (1) = 5

derivative f(x)=e^xsqrt(1+x^2)

d er i v a t i v e f (x) = e^{x} 1 + x^{2}

derivative of ln(x^2+2-y)

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

(\partial)/(\partial x)(x/(sin(2x)+3y+z^2))

\frac{\partial}{\partial x} (\frac{x}{sin ( 2 x ) + 3 y + z ^{2}})