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)(2+1/(\sqrt[3]{x)})

Lösung

\int x (2 + \frac{1}{3 x}) d x

Lösung

\frac{4}{3} x^{\frac{3}{2}} + \frac{6}{7} x^{\frac{7}{6}} + C

Schritte zur Lösung

\int x (2 + \frac{1}{3 x}) d x

Multipliziere aus

x (2 + \frac{1}{3 x}) : 2 x + 6 x

= \int 2 x + 6 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 2 x d x + \int 6 x d x

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

\int 6 x d x = \frac{6}{7} x^{\frac{7}{6}}

= \frac{4}{3} x^{\frac{3}{2}} + \frac{6}{7} x^{\frac{7}{6}}

Füge eine Konstante zur Lösung hinzu

= \frac{4}{3} x^{\frac{3}{2}} + \frac{6}{7} x^{\frac{7}{6}} + C

Graph

Beliebte Beispiele

integral of (w-1)/(2w^2-2w+1)

\int \frac{w - 1}{2 w ^{2} - 2 w + 1} d w

integral e^{(2x)}

in t e g r a l e^{(2 x)}

integral of (sin(h)7x)/(1+cos(h^2)7x)

\int \frac{sin ( h ) 7 x}{1 + cos ( h ^{2} ) 7 x} d x

integral of 1/(-x(x^2-4))

\int \frac{1}{- x ( x ^{2} - 4 )} d x

integral of x^2(5x+8)^{1/2}

\int x^{2} (5 x + 8)^{\frac{1}{2}} d x