de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 3 to 6 of t^2ln(2t)

Lösung

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

Lösung

9 ln (71663616) - 21

+1

Dezimale

141.78744 \dots

Schritte zur Lösung

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

Wende die partielle Integration an

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

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

= [\frac{1}{3} t^{3} ln (2 t) - \frac{t ^{3}}{9}]_{3}^{6}

Berechne die Grenzen:

72 ln (12) - 21 - 9 ln (6)

= 72 ln (12) - 21 - 9 ln (6)

Vereinfache

= 9 ln (71663616) - 21

Graph

Beliebte Beispiele

integral of sec^2(x)+2

\int sec^{2} (x) + 2 d x

(\partial)/(\partial x)(2x^2)

\frac{\partial}{\partial x} (2 x^{2})

(dy)/(dx)=sin(2x)-ycos(x)

\frac{d y}{d x} = sin (2 x) - y cos (x)

derivative of 3x^4-4x^3-12x^2+1

\frac{d}{d x} (3 x^{4} - 4 x^{3} - 12 x^{2} + 1)

integral of (x^2+4x+10)/(x^3+2x^2+5x)

\int \frac{x ^{2} + 4 x + 10}{x ^{3} + 2 x ^{2} + 5 x} d x