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Beliebt Rechnen >

integral of (ax^6+bx^4+3c)

Lösung

\int (a x^{6} + b x^{4} + 3 c) d x

Lösung

\frac{a x ^{7}}{7} + \frac{b x ^{5}}{5} + 3 c x + C

Schritte zur Lösung

\int a x^{6} + b x^{4} + 3 c 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 a x^{6} d x + \int b x^{4} d x + \int 3 c d x

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

\int b x^{4} d x = \frac{b x ^{5}}{5}

\int 3 c d x = 3 c x

= \frac{a x ^{7}}{7} + \frac{b x ^{5}}{5} + 3 c x

Füge eine Konstante zur Lösung hinzu

= \frac{a x ^{7}}{7} + \frac{b x ^{5}}{5} + 3 c x + C

Graph

Beliebte Beispiele

integral of cos(x)sqrt(e^x)

\int cos (x) e^{x} d x

integral of e^{-4y}

\int e^{- 4 y} d y

integral of 1/(3y^2)

\int \frac{1}{3 y ^{2}} d y

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\int 5 (x^{2} - 5 x - 2) d x

integral of 1/(\sqrt[3]{z^2)}

\int \frac{1}{3 z ^{2}} d z