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 2 of 2x^2

Lösung

\int_{0}^{2} 2 x^{2} d x

Lösung

\frac{16}{3}

+1

Dezimale

5.33333 \dots

Schritte zur Lösung

\int_{0}^{2} 2 x^{2} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int_{0}^{2} x^{2} d x

Wende die Potenzregel an

= 2 [\frac{x ^{3}}{3}]_{0}^{2}

Berechne die Grenzen:

\frac{8}{3}

= 2 \cdot \frac{8}{3}

Vereinfache

= \frac{16}{3}

Graph

Beliebte Beispiele

derivative of sqrt(1-2x^2)

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

derivative of (sqrt(x)/(x^3+1))

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

limit as x approaches 2+of 2sqrt(x-2)

x \to 2 + lim (2 x - 2)

tangent y=sin(sin(x)),(pi,0)

t an g e n t y = sin (sin (x)), (π, 0)

derivative of sin(x^2-4)

\frac{d}{d x} (sin (x^{2} - 4))