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[4]{x^3}-2/(\sqrt[3]{x^2)})

Lösung

\int (4 x^{3} - \frac{2}{3 x ^{2}}) d x

Lösung

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

Schritte zur Lösung

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

\int 4 x^{3} d x = \frac{4}{7} x^{\frac{7}{4}}

\int \frac{2}{3 x ^{2}} d x = 6 3 x

= \frac{4}{7} x^{\frac{7}{4}} - 6 3 x

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

(\partial)/(\partial y)(sqrt(x^y+ln(z)))

\frac{\partial}{\partial y} (x^{y} + ln (z))

(dy)/(dt)-5y=sin(2t)

\frac{d y}{d t} - 5 y = sin (2 t)

derivative y=47(2t^3-9)^{6/5}

d er i v a t i v e y = 47 (2 t^{3} - 9)^{\frac{6}{5}}

integral of 3/(5y-4)

\int \frac{3}{5 y - 4} d y

limit as x approaches 0 of (6xn-5xn-1-7xn-2)/(-6xn-4xn-2)

x \to 0 lim (\frac{6 x n - 5 x n - 1 - 7 x n - 2}{- 6 x n - 4 x n - 2})