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)+xcos(y)-y)

Lösung

\int (cos (x) + x cos (y) - y) d y

Lösung

cos (x) y - \frac{y ^{2}}{2} + x sin (y) + C

Schritte zur Lösung

\int cos (x) + x cos (y) - y d y

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 y - \int y d y + \int cos (y) x d y

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

\int y d y = \frac{y ^{2}}{2}

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

= cos (x) y - \frac{y ^{2}}{2} + x sin (y)

Füge eine Konstante zur Lösung hinzu

= cos (x) y - \frac{y ^{2}}{2} + x sin (y) + C

Graph

Beliebte Beispiele

(6 + x) y^{^{'}} = 7 y

integral of 3/(18+2t^2)

\int \frac{3}{18 + 2 t ^{2}} d t

derivative of cos(ti)

\frac{d}{d x} (cos (t) i)

limit as x approaches 1 of 30

x \to 1 lim (30)

integral of 1/(5-6x)

\int \frac{1}{5 - 6 x} d x