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Beliebt Rechnen >

integral of x^6ln(x)

Lösung

\int x^{6} ln (x) d x

Lösung

\frac{1}{7} x^{7} ln (x) - \frac{x ^{7}}{49} + C

Schritte zur Lösung

\int x^{6} ln (x) d x

Wende die partielle Integration an

= \frac{1}{7} x^{7} ln (x) - \int \frac{x ^{6}}{7} d x

\int \frac{x ^{6}}{7} d x = \frac{x ^{7}}{49}

= \frac{1}{7} x^{7} ln (x) - \frac{x ^{7}}{49}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{7} x^{7} ln (x) - \frac{x ^{7}}{49} + C

Graph

Beliebte Beispiele

integral of e^{3-x}

\int e^{3 - x} d x

(\partial)/(\partial z)(xe^{y/z})

\frac{\partial}{\partial z} (x e^{\frac{y}{z}})

derivative of e^{cos(x}*sin(x^2-x))

\frac{d}{d x} (e^{c o s (x)} \cdot sin (x^{2} - x))

fläche 2x^2,2x+6,-1.3,2.3

a re a 2 x^{2}, 2 x + 6, - 1.3, 2.3

inverselaplace s/(s^2+10s+25)

in v erse l a pl a ce \frac{s}{s ^{2} + 10 s + 25}