de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from-2 to 4 of (-x^2+2x+8)

Lösung

\int_{- 2}^{4} (- x^{2} + 2 x + 8) d x

Lösung

36

Schritte zur Lösung

\int_{- 2}^{4} - x^{2} + 2 x + 8 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}^{4} x^{2} d x + \int_{- 2}^{4} 2 x d x + \int_{- 2}^{4} 8 d x

\int_{- 2}^{4} x^{2} d x = 24

\int_{- 2}^{4} 2 x d x = 12

\int_{- 2}^{4} 8 d x = 48

= - 24 + 12 + 48

Vereinfache

= 36

Graph

Beliebte Beispiele

(dy)/(dx)=(sin^2(2x))(cos^2(y))

\frac{d y}{d x} = (sin^{2} (2 x)) (cos^{2} (y))

t(dy)/(dt)=t^3+20t^3y

t \frac{d y}{d t} = t^{3} + 20 t^{3} y

integral of 1.5sin(-x+2)

\int 1.5 sin (- x + 2) d x

derivative y=cos(x)-xsin(x)

d er i v a t i v e y = cos (x) - x sin (x)

f (x) = x^{\frac{1}{6}}