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Beliebt Rechnen >

integral from 1 to 2 of w^2ln(w)

Lösung

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

Lösung

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

+1

Dezimale

1.07061 \dots

Schritte zur Lösung

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

Wende die partielle Integration an

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

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

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

Berechne die Grenzen:

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

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

Graph

Beliebte Beispiele

derivative of 2sin(pix-y)

\frac{d}{d x} (2 sin (π x - y))

fläche 2/x ,-3x+7,-2x+4

a re a \frac{2}{x}, - 3 x + 7, - 2 x + 4

derivative of ln(ln(10x))

\frac{d}{d x} (ln (ln (10 x)))

y^{^{'}} + (\frac{4}{x}) y = x^{4}

limit as x approaches-2 of tan((pix)/4)

x \to - 2 lim (tan (\frac{π x}{4}))