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[12]{x}+\sqrt[13]{x}

Lösung

\int 12 x + 13 x d x

Lösung

\frac{12}{13} x^{\frac{13}{12}} + \frac{13}{14} x^{\frac{14}{13}} + C

Schritte zur Lösung

\int 12 x + 13 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 12 x d x + \int 13 x d x

\int 12 x d x = \frac{12}{13} x^{\frac{13}{12}}

\int 13 x d x = \frac{13}{14} x^{\frac{14}{13}}

= \frac{12}{13} x^{\frac{13}{12}} + \frac{13}{14} x^{\frac{14}{13}}

Füge eine Konstante zur Lösung hinzu

= \frac{12}{13} x^{\frac{13}{12}} + \frac{13}{14} x^{\frac{14}{13}} + C

Graph

Beliebte Beispiele

(\partial)/(\partial x)((2*x)/(x^2-y^2))

\frac{\partial}{\partial x} (\frac{2 \cdot x}{x ^{2} - y ^{2}})

d/(d{z)}(({y})/({z)})

\frac{d}{d z} (\frac{y}{z})

derivative of ((x+1/(x-1))^3)

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

integral of ysqrt(4+4y-4y^2)

\int y 4 + 4 y - 4 y^{2} d y

(\partial)/(\partial x)(y^8+4x^3y^3)

\frac{\partial}{\partial x} (y^{8} + 4 x^{3} y^{3})