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Beliebt Rechnen >

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

Lösung

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

Lösung

72 ln (12) - \frac{208}{9} - \frac{16}{3} ln (2)

+1

Dezimale

152.10538 \dots

Schritte zur Lösung

\int_{2}^{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]_{2}^{6}

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

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

Berechne die Grenzen:

72 ln (12) - \frac{208}{9} - \frac{16}{3} ln (2)

= 72 ln (12) - \frac{208}{9} - \frac{16}{3} ln (2)

Graph

Beliebte Beispiele

derivative-6\sqrt[3]{x^2}

derivative (x)^2

(\partial)/(\partial y)(y+x)

fläche y= 1/((9x^3)),1,100

20y^{''}+4y^'+y=0