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(8x)-2x)

Lösung

\int (8 x - 2 x) d x

Lösung

\frac{4 2}{3} x^{\frac{3}{2}} - x^{2} + C

Schritte zur Lösung

\int 8 x - 2 x 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 8 x d x - \int 2 x d x

\int 8 x d x = \frac{4 2}{3} x^{\frac{3}{2}}

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

= \frac{4 2}{3} x^{\frac{3}{2}} - x^{2}

Füge eine Konstante zur Lösung hinzu

= \frac{4 2}{3} x^{\frac{3}{2}} - x^{2} + C

Graph

Beliebte Beispiele

integral of 1/(1+2sin(x))

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

\frac{d y}{d x} = y + 6

integral of 12xsqrt(1+6x^2)

\int 12 x 1 + 6 x^{2} d x

(\partial)/(\partial x)(2ye^{5x^2-6y})

\frac{\partial}{\partial x} (2 y e^{5 x^{2} - 6 y})

integral from-1 to 1 of xe^{x+1}

\int_{- 1}^{1} x e^{x + 1} d x