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Beliebt Rechnen >

integral of x^2+4x-5

Lösung

\int x^{2} + 4 x - 5 d x

Lösung

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

Schritte zur Lösung

\int x^{2} + 4 x - 5 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 4 x d x - \int 5 d x

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

\int 4 x d x = 2 x^{2}

\int 5 d x = 5 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

(\partial)/(\partial x)(-3cos(pix)+6x^2y+5e^{xz}+3yz-98)

\frac{\partial}{\partial x} (- 3 cos (π x) + 6 x^{2} y + 5 e^{x z} + 3 yz - 98)

integral of x-8/x

\int x - \frac{8}{x} d x

taylor ln^2(1+x)

t a y l or ln^{2} (1 + x)

integral of 1/(sqrt(361-x^2))

\int \frac{1}{361 - x ^{2}} d x

(dy)/(dx)-y/x =xe^x,y(1)=e-1

\frac{d y}{d x} - \frac{y}{x} = x e^{x}, y (1) = e - 1