de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 0 to 6 of 2x^2-16x+30

Lösung

\int_{0}^{6} 2 x^{2} - 16 x + 30 d x

Lösung

36

Schritte zur Lösung

\int_{0}^{6} 2 x^{2} - 16 x + 30 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_{0}^{6} 2 x^{2} d x - \int_{0}^{6} 16 x d x + \int_{0}^{6} 30 d x

\int_{0}^{6} 2 x^{2} d x = 144

\int_{0}^{6} 16 x d x = 288

\int_{0}^{6} 30 d x = 180

= 144 - 288 + 180

Vereinfache

= 36

Graph

Beliebte Beispiele

(e^{1/x}-(e^{1/x})/x-(5e^{1/x})/(x^2))^'

(e^{\frac{1}{x}} - \frac{e ^{\frac{1}{x}}}{x} - \frac{5 e ^{\frac{1}{x}}}{x ^{2}})^{^{'}}

limit as t approaches 0 of (t-2)^5

t \to 0 lim ((t - 2)^{5})

y^'=(4xln(2x))/(sin(y))

y^{^{'}} = \frac{4 x ln ( 2 x )}{sin ( y )}

derivative of 2e^x+3x

\frac{d}{d x} (2 e^{x} + 3 x)

integral of 1/2 sin((2pix)/5)

\int \frac{1}{2} sin (\frac{2 π x}{5}) d x