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+5)(4x-11)

Lösung

\int (x + 5) (4 x - 11) d x

Lösung

\frac{4 x ^{3}}{3} + \frac{9 x ^{2}}{2} - 55 x + C

Schritte zur Lösung

\int (x + 5) (4 x - 11) d x

Multipliziere aus

(x + 5) (4 x - 11) : 4 x^{2} + 9 x - 55

= \int 4 x^{2} + 9 x - 55 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 9 x d x - \int 55 d x

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

\int 9 x d x = \frac{9 x ^{2}}{2}

\int 55 d x = 55 x

= \frac{4 x ^{3}}{3} + \frac{9 x ^{2}}{2} - 55 x

Füge eine Konstante zur Lösung hinzu

= \frac{4 x ^{3}}{3} + \frac{9 x ^{2}}{2} - 55 x + C

Graph

Beliebte Beispiele

integral of (13)/(sqrt(36-36x^2))

\int \frac{13}{36 - 36 x ^{2}} d x

derivative of cos(12x)

\frac{d}{d x} (cos (12 x))

(y+2xe^{-y/x})dx-xdy=0

(y + 2 x e^{- \frac{y}{x}}) d x - x d y = 0

derivative f(x)=(4x-5)/(sqrt(x))

d er i v a t i v e f (x) = \frac{4 x - 5}{x}

fläche x^2+10x+25,-2x-2,-5,-1

a re a x^{2} + 10 x + 25, - 2 x - 2, - 5, - 1