de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of pi(2sqrt(y))^2

Lösung

\int π (2 y)^{2} d y

Lösung

2 π y^{2} + C

Schritte zur Lösung

\int π (2 y)^{2} d y

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= π \cdot \int (2 y)^{2} d y

Wende die partielle Integration an

= π (4 y^{2} - \int 4 y d y)

\int 4 y d y = 2 y^{2}

= π (4 y^{2} - 2 y^{2})

Vereinfache

= 2 π y^{2}

Füge eine Konstante zur Lösung hinzu

= 2 π y^{2} + C

Graph

Beliebte Beispiele

integral of 2xln(x-2)

\int 2 x ln (x - 2) d x

integral from 1 to 6 of 3/(x^2+2x+1)

\int_{1}^{6} \frac{3}{x ^{2} + 2 x + 1} d x

limit as x approaches infinity of (4x+2)/(2x-7)

x \to \infty lim (\frac{4 x + 2}{2 x - 7})

y^{''}-6y^'+18y=0

y^{^{''}} - 6 y^{^{'}} + 18 y = 0

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

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