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Beliebt Rechnen >

integral of 2+3x-4y^3

Lösung

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

Lösung

2 x + \frac{3 x ^{2}}{2} - 4 y^{3} x + C

Schritte zur Lösung

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

\int 2 d x = 2 x

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

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

= 2 x + \frac{3 x ^{2}}{2} - 4 y^{3} x

Füge eine Konstante zur Lösung hinzu

= 2 x + \frac{3 x ^{2}}{2} - 4 y^{3} x + C

Graph

Beliebte Beispiele

integral from 0 to 9 of pi(2sqrt(3y))^2

\int_{0}^{9} π (2 3 y)^{2} d y

derivative of x^3+2x-5

\frac{d}{d x} (x^{3} + 2 x - 5)

limit as x approaches 4 of (2x-1)/(x-4)

x \to 4 lim (\frac{2 x - 1}{x - 4})

derivative y=(x^2+1)^2

d er i v a t i v e y = (x^{2} + 1)^{2}

tangent xy=-64,(8,-8)

t an g e n t x y = - 64, (8, - 8)