de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of sqrt(x)-x^2

Lösung

\int x - x^{2} d x

Lösung

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

Schritte zur Lösung

\int x - x^{2} 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 d x - \int x^{2} d x

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

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

= \frac{2}{3} x^{\frac{3}{2}} - \frac{x ^{3}}{3}

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

derivative of x^3+2x+3

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

derivative f(x)=4x^2+9x

d er i v a t i v e f (x) = 4 x^{2} + 9 x

integral from-2 to 1 of sqrt(1+(-3)^2)

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

integral of cos^2(x)sin^4(x)

\int cos^{2} (x) sin^{4} (x) d x

integral of e^{-sx}*x^2

\int e^{- s x} \cdot x^{2} d x