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-3)^2

Lösung

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

Lösung

\frac{4 x ^{3}}{3} - 6 x^{2} + 9 x + C

Schritte zur Lösung

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

Multipliziere aus

(2 x - 3)^{2} : 4 x^{2} - 12 x + 9

= \int 4 x^{2} - 12 x + 9 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 4 x^{2} d x - \int 12 x d x + \int 9 d x

\int 4 x^{2} d x = \frac{4 x ^{3}}{3}

\int 12 x d x = 6 x^{2}

\int 9 d x = 9 x

= \frac{4 x ^{3}}{3} - 6 x^{2} + 9 x

Füge eine Konstante zur Lösung hinzu

= \frac{4 x ^{3}}{3} - 6 x^{2} + 9 x + C

Graph

Beliebte Beispiele

derivative of x^3arctan(3x)

\frac{d}{d x} (x^{3} arctan (3 x))

derivative 3(sin(x))^x

d er i v a t i v e 3 (sin (x))^{x}

fläche x^2-4,x=-4,x=3

a re a x^{2} - 4, x = - 4, x = 3

d er i v a t i v e 3 e

derivative of ln(sqrt(x^2-14))

\frac{d}{d x} (ln (x^{2} - 14))