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Beliebt Rechnen >

integral of x^2+5x

Lösung

\int x^{2} + 5 x d x

Lösung

\frac{x ^{3}}{3} + \frac{5 x ^{2}}{2} + C

Schritte zur Lösung

\int x^{2} + 5 x 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 x^{2} d x + \int 5 x d x

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

\int 5 x d x = \frac{5 x ^{2}}{2}

= \frac{x ^{3}}{3} + \frac{5 x ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{3} + \frac{5 x ^{2}}{2} + C

Graph

Beliebte Beispiele

(\partial)/(\partial x)(5x^4+x^3y+xy+y^4)

\frac{\partial}{\partial x} (5 x^{4} + x^{3} y + x y + y^{4})

(\partial)/(\partial y)(4xy^2)

\frac{\partial}{\partial y} (4 x y^{2})

(dy)/(dx)+e^xy^2=x^2y^2

\frac{d y}{d x} + e^{x} y^{2} = x^{2} y^{2}

derivative of 4sec(7x)

\frac{d}{d x} (4 sec (7 x))

derivative of 22-x

\frac{d}{d x} (22 - x)