integral from 0 to 11 of 2piy((y^2)/2)

Lösung

\int_{0}^{11} 2 π y (\frac{y ^{2}}{2}) d y

\frac{14641 π}{4}

Dezimale

11499.01451 \dots

Schritte zur Lösung

\int_{0}^{11} 2 π y \frac{y ^{2}}{2} d y

Entferne die Konstante:

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

= 2 π \frac{1}{2} \cdot \int_{0}^{11} y y^{2} d y

2 π \frac{1}{2} = π

= π \cdot \int_{0}^{11} y y^{2} d y

Vereinfache

y y^{2} : y^{3}

= π \cdot \int_{0}^{11} y^{3} d y

Wende die Potenzregel an

= π [\frac{y ^{4}}{4}]_{0}^{11}

Berechne die Grenzen:

\frac{14641}{4}

= π \frac{14641}{4}

Vereinfache

= \frac{14641 π}{4}

in v erse l a pl a ce \frac{s}{( s + 4 )}

\frac{\partial}{\partial x} (x^{3} y^{5} - 2 x^{2} y + x)

\int_{0}^{2} (x^{3} - 3 x^{2} + 2 x) d x

\frac{d}{d x} (csc (\frac{ln ( x + 3 )}{x ^{2}}))

\int e^{y^{2}} y d y