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^2-2x-4

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

\int 4 d x = 4 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of 2/(x+7)

\int \frac{2}{x + 7} d x

integral of 16*sin^2(x)*cos^2(x)

\int 16 \cdot sin^{2} (x) \cdot cos^{2} (x) d x

integral of 3/(x-10)

\int \frac{3}{x - 10} d x

integral of (x^8)/(x^9-4)

\int \frac{x ^{8}}{x ^{9} - 4} d x

integral of (35)/(x(ln(6x))^4)

\int \frac{35}{x ( ln ( 6 x ) ) ^{4}} d x