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Beliebt Rechnen >

integral of x^2+y^5

Lösung

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

Lösung

x^{2} y + \frac{y ^{6}}{6} + C

Schritte zur Lösung

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

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 y + \int y^{5} d y

\int x^{2} d y = x^{2} y

\int y^{5} d y = \frac{y ^{6}}{6}

= x^{2} y + \frac{y ^{6}}{6}

Füge eine Konstante zur Lösung hinzu

= x^{2} y + \frac{y ^{6}}{6} + C

Graph

Beliebte Beispiele

derivative of (x^2-2e^x/(x+3e^x))

\frac{d}{d x} (\frac{x ^{2} - 2 e ^{x}}{x + 3 e ^{x}})

derivative (log_{6}(x))/(e^{4x)}

d er i v a t i v e \frac{lo g _{6} ( x )}{e ^{4 x}}

derivative f(t)=sqrt(8t^2-t)

d er i v a t i v e f (t) = 8 t^{2} - t

3x-8ysqrt(x^2+1)(dy)/(dx)=0

3 x - 8 y x^{2} + 1 \frac{d y}{d x} = 0

integral from 7 to e^5 of 1/x

\int_{7}^{e^{5}} \frac{1}{x} d x