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Beliebt Rechnen >

integral of ax^2+bx+c

Lösung

\int a x^{2} + b x + c d x

Lösung

\frac{a x ^{3}}{3} + \frac{b x ^{2}}{2} + c x + C

Schritte zur Lösung

\int a x^{2} + b x + 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^{2} d x + \int b x d x + \int c d x

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

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

\int c d x = c x

= \frac{a x ^{3}}{3} + \frac{b x ^{2}}{2} + c x

Füge eine Konstante zur Lösung hinzu

= \frac{a x ^{3}}{3} + \frac{b x ^{2}}{2} + c x + C

Graph

Beliebte Beispiele

(\partial)/(\partial y)((x-y)/(xy+3))

\frac{\partial}{\partial y} (\frac{x - y}{x y + 3})

limit as x approaches 0 of xln^3(1+3x^3)

x \to 0 lim (x ln^{3} (1 + 3 x^{3}))

tangent x^4+3e^x

t an g e n t x^{4} + 3 e^{x}

derivative sqrt(x^2-2x)

d er i v a t i v e x^{2} - 2 x

f(x)=-sech(x)tanh(x)

f (x) = - sech (x) tanh (x)