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Beliebt Rechnen >

integral of 6x^5-18x^2+7

Lösung

\int 6 x^{5} - 18 x^{2} + 7 d x

Lösung

x^{6} - 6 x^{3} + 7 x + C

Schritte zur Lösung

\int 6 x^{5} - 18 x^{2} + 7 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 6 x^{5} d x - \int 18 x^{2} d x + \int 7 d x

\int 6 x^{5} d x = x^{6}

\int 18 x^{2} d x = 6 x^{3}

\int 7 d x = 7 x

= x^{6} - 6 x^{3} + 7 x

Füge eine Konstante zur Lösung hinzu

= x^{6} - 6 x^{3} + 7 x + C

Graph

Beliebte Beispiele

dx=xsqrt(x^2-16)dy

d x = x x^{2} - 16 d y

limit as x approaches 20 of sqrt(10)

x \to 20 lim (10)

integral of ((4+x^7)^67x^6)

\int ((4 + x^{7})^{6} 7 x^{6}) d x

limit as x approaches 3 of 10

x \to 3 lim (10)

(\partial)/(\partial z)(ln(xyz))

\frac{\partial}{\partial z} (ln (x yz))