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Beliebt Rechnen >

integral of (4x^3+x^2)

Lösung

\int (4 x^{3} + x^{2}) d x

Lösung

x^{4} + \frac{x ^{3}}{3} + C

Schritte zur Lösung

\int 4 x^{3} + 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 4 x^{3} d x + \int x^{2} d x

\int 4 x^{3} d x = x^{4}

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

= x^{4} + \frac{x ^{3}}{3}

Füge eine Konstante zur Lösung hinzu

= x^{4} + \frac{x ^{3}}{3} + C

Graph

Beliebte Beispiele

integral of 1/(xsqrt(25-4x^2))

\int \frac{1}{x 25 - 4 x ^{2}} d x

integral from 0 to 4 of x(sqrt(x)-1)

\int_{0}^{4} x (x - 1) d x

x y^{^{'}} + y = 6 x y^{2}

(\partial)/(\partial t)(s+2t)

\frac{\partial}{\partial t} (s + 2 t)

integral from 0 to 7 of x

\int_{0}^{7} x d x