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Beliebt Rechnen >

integral of x*ln(x^6)

Lösung

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

Lösung

3 x^{2} ln (x) - \frac{3 x ^{2}}{2} + C

Schritte zur Lösung

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

Wende die partielle Integration an

= \frac{1}{2} x^{2} ln (x^{6}) - \int 3 x d x

\int 3 x d x = \frac{3 x ^{2}}{2}

= \frac{1}{2} x^{2} ln (x^{6}) - \frac{3 x ^{2}}{2}

\frac{1}{2} x^{2} ln (x^{6}) = 3 x^{2} ln (x)

= 3 x^{2} ln (x) - \frac{3 x ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= 3 x^{2} ln (x) - \frac{3 x ^{2}}{2} + C

Graph

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limit as x approaches infinity of 9+8/x

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\int \frac{sin ( ln ( x ^{3} ) )}{x} d x

wurzeln von ae^{3x}

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