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 6 of t^4ln(3t)

Lösung

\int_{2}^{6} t^{4} ln (3 t) d t

Lösung

- \frac{7744}{25} + \frac{- 32 ln ( 6 ) + 7776 ln ( 18 )}{5}

+1

Dezimale

4173.87889 \dots

Schritte zur Lösung

\int_{2}^{6} t^{4} ln (3 t) d t

Wende die partielle Integration an

= [\frac{1}{5} t^{5} ln (3 t) - \int \frac{t ^{4}}{5} d t]_{2}^{6}

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

= [\frac{1}{5} t^{5} ln (3 t) - \frac{t ^{5}}{25}]_{2}^{6}

Berechne die Grenzen:

- \frac{7744}{25} + \frac{- 32 ln ( 6 ) + 7776 ln ( 18 )}{5}

= - \frac{7744}{25} + \frac{- 32 ln ( 6 ) + 7776 ln ( 18 )}{5}

Graph

Beliebte Beispiele

fläche y= 3/x+2x^3,2<= x<= 3

a re a y = \frac{3}{x} + 2 x^{3}, 2 \leq x \leq 3

tangent f(x)=-2x^3,(1,-2)

t an g e n t f (x) = - 2 x^{3}, (1, - 2)

derivative of sqrt(x(x+12))

\frac{d}{d x} (x (x + 12))

(\partial)/(\partial x)(3zcos(4xy)+x-7y)

\frac{\partial}{\partial x} (3 z cos (4 x y) + x - 7 y)

derivative f(x)= 1/(6sqrt(x^3))

d er i v a t i v e f (x) = \frac{1}{6 x ^{3}}