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Beliebt Rechnen >

integral of ln(x)-9x^2

Lösung

\int ln (x) - 9 x^{2} d x

Lösung

x ln (x) - x - 3 x^{3} + C

Schritte zur Lösung

\int ln (x) - 9 x^{2} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int ln (x) d x - \int 9 x^{2} d x

\int ln (x) d x = x ln (x) - x

\int 9 x^{2} d x = 3 x^{3}

= x ln (x) - x - 3 x^{3}

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

laplacetransform 3sin^2(t)

l a pl a ce t r an s f or m 3 sin^{2} (t)

(\partial)/(\partial x)(y^2+6x-x^2y+36)

\frac{\partial}{\partial x} (y^{2} + 6 x - x^{2} y + 36)

integral of sqrt(2t)

\int 2 t d t

integral of (4x+4)sqrt(2x^2+4x)

\int (4 x + 4) 2 x^{2} + 4 x d x

integral of 50x

\int 50 x d x