de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of (x-1)(6x-5)

Lösung

\int (x - 1) (6 x - 5) d x

Lösung

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

Schritte zur Lösung

\int (x - 1) (6 x - 5) d x

Wende die partielle Integration an

= (6 x - 5) (\frac{x ^{2}}{2} - x) - \int 6 (\frac{x ^{2}}{2} - x) d x

\int 6 (\frac{x ^{2}}{2} - x) d x = x^{3} - 3 x^{2}

= (6 x - 5) (\frac{x ^{2}}{2} - x) - (x^{3} - 3 x^{2})

Vereinfache

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

derivative of sin^2(2x+5)

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

derivative of ((x-7/(x+2))^3)

\frac{d}{d x} ((\frac{x - 7}{x + 2})^{3})

integral of 1/(sqrt(x)-3\sqrt[3]{x)}

\int \frac{1}{x - 3 3 x} d x

derivative y=(8-xe^x)/(x+e^x)

d er i v a t i v e y = \frac{8 - x e ^{x}}{x + e ^{x}}

(\partial)/(\partial x)((2F(V,x,P))/(V^2xP))

\frac{\partial}{\partial x} (\frac{2 F ( V , x , P )}{V ^{2} x P})