de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of-2x+6x^2-4x^3+18

Lösung

\int - 2 x + 6 x^{2} - 4 x^{3} + 18 d x

Lösung

- x^{2} + 2 x^{3} - x^{4} + 18 x + C

Schritte zur Lösung

\int - 2 x + 6 x^{2} - 4 x^{3} + 18 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 x d x + \int 6 x^{2} d x - \int 4 x^{3} d x + \int 18 d x

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

\int 6 x^{2} d x = 2 x^{3}

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

\int 18 d x = 18 x

= - x^{2} + 2 x^{3} - x^{4} + 18 x

Füge eine Konstante zur Lösung hinzu

= - x^{2} + 2 x^{3} - x^{4} + 18 x + C

Graph

Beliebte Beispiele

integral of 2/(e^{-x)+1}

\int \frac{2}{e ^{- x} + 1} d x

integral of e^{2x+6}

\int e^{2 x + 6} d x

derivative of 6^{6-x^2}

\frac{d}{d x} (6^{6 - x^{2}})

derivative y=-2x+7

d er i v a t i v e y = - 2 x + 7

integral of 1/(x^5sqrt(9x^2-1))

\int \frac{1}{x ^{5} 9 x ^{2} - 1} d x