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(1)+sqrt(x)

Lösung

\int 1 + x d x

Lösung

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

Schritte zur Lösung

\int 1 + x d x

Vereinfache

= \int 1 + 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 1 d x + \int x d x

\int 1 d x = x

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

limit as x approaches 8 of x/(x^2-64)

x \to 8 lim (\frac{x}{x ^{2} - 64})

x(dy)/(dx)+y^2+y=0

x \frac{d y}{d x} + y^{2} + y = 0

derivative of sqrt(9x+x^2)

\frac{d}{d x} (9 x + x^{2})

integral of (sin(5x))/(e^{cos(5x)-1)}

\int \frac{sin ( 5 x )}{e ^{c o s (5 x) - 1}} d x

derivative of (-1/((x+2)^2))

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