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+7)(x-2)

Lösung

\int (x + 7) (x - 2) d x

Lösung

\frac{x ^{3}}{3} + \frac{5 x ^{2}}{2} - 14 x + C

Schritte zur Lösung

\int (x + 7) (x - 2) d x

Multipliziere aus

(x + 7) (x - 2) : x^{2} + 5 x - 14

= \int x^{2} + 5 x - 14 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 x^{2} d x + \int 5 x d x - \int 14 d x

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

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 14 d x = 14 x

= \frac{x ^{3}}{3} + \frac{5 x ^{2}}{2} - 14 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{3} + \frac{5 x ^{2}}{2} - 14 x + C

Graph

Beliebte Beispiele

integral of (sin(2x)-cos(2x))/(sin(2x))

\int \frac{sin ( 2 x ) - cos ( 2 x )}{sin ( 2 x )} d x

integral of x(1+4x^2)^{1/2}

\int x (1 + 4 x^{2})^{\frac{1}{2}} d x

integral of θarctan^2(θ)

\int θ arctan^{2} (θ) d θ

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

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

integral of ((x-1))/(x^2+3x+2)

\int \frac{( x - 1 )}{x ^{2} + 3 x + 2} d x