integral from 0 to 5 of piy^3

Lösung

\int_{0}^{5} π y^{3} d y

\frac{625 π}{4}

Dezimale

490.87385 \dots

Schritte zur Lösung

\int_{0}^{5} π y^{3} d y

Entferne die Konstante:

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

= π \cdot \int_{0}^{5} y^{3} d y

Wende die Potenzregel an

= π [\frac{y ^{4}}{4}]_{0}^{5}

Berechne die Grenzen:

\frac{625}{4}

= π \frac{625}{4}

Vereinfache

= \frac{625 π}{4}

\frac{\partial}{\partial x} (\frac{200}{( x ^{2} + y ^{2} )})

in v erse l a pl a ce \frac{2}{2 s + 1}

t an g e n t f (x) = x^{4}, at x = 4

x \to \infty lim (\frac{ln ( x ) + x}{x n x})

d er i v a t i v e f (x) = \frac{3 x ^{2} + 1}{x ^{\frac{3}{2}}}