de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of (cos(x)+1/3 x)

Lösung

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

Lösung

sin (x) + \frac{x ^{2}}{6} + C

Schritte zur Lösung

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

\int cos (x) d x = sin (x)

\int \frac{1}{3} x d x = \frac{x ^{2}}{6}

= sin (x) + \frac{x ^{2}}{6}

Füge eine Konstante zur Lösung hinzu

= sin (x) + \frac{x ^{2}}{6} + C

Graph

Beliebte Beispiele

integral of e^{x-1}+x^{-2}

\int e^{x - 1} + x^{- 2} d x

integral of-x^2+3x

\int - x^{2} + 3 x d x

derivative of (x-cos(x)/(x^2+cot(x)))

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

derivative of (9x^2/(sqrt(x)))

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

(dy)/(dx)-y/x =5xe^x

\frac{d y}{d x} - \frac{y}{x} = 5 x e^{x}