de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of xsqrt(x^2+y^2)-2y

Lösung

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

Lösung

- 2 y x + \frac{1}{3} (y^{2} + x^{2})^{\frac{3}{2}} + C

Schritte zur Lösung

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

\int 2 y d x = 2 y x

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

= - 2 y x + \frac{1}{3} (y^{2} + x^{2})^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= - 2 y x + \frac{1}{3} (y^{2} + x^{2})^{\frac{3}{2}} + C

Graph

Beliebte Beispiele

integral of (x^3)/(2x^4+5)

\int \frac{x ^{3}}{2 x ^{4} + 5} d x

integral of sec^7(6x)tan(6x)

\int sec^{7} (6 x) tan (6 x) d x

integral of sin(4x)cos(8x)

\int sin (4 x) cos (8 x) d x

integral of 4cos(2t)e^t

\int 4 cos (2 t) e^{t} d t

integral of-2sin(2pix)

\int - 2 sin (2 π x) d x