integral from 0 to 3 of pi(sqrt(x))^2

Lösung

\int_{0}^{3} π (x)^{2} d x

\frac{9 π}{2}

Dezimale

14.13716 \dots

Schritte zur Lösung

\int_{0}^{3} π (x)^{2} d x

Entferne die Konstante:

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

= π \cdot \int_{0}^{3} (x)^{2} d x

Vereinfache

(x)^{2} : x

= π \cdot \int_{0}^{3} x d x

Wende die Potenzregel an

= π [\frac{x ^{2}}{2}]_{0}^{3}

Berechne die Grenzen:

\frac{9}{2}

= π \frac{9}{2}

Vereinfache

= \frac{9 π}{2}

\int_{- \frac{π}{2}}^{π} 4 cos (x) d x

\int_{- 3}^{0} x x + 3 d x

\int_{0}^{1} 9 e^{3 x} d x

\int_{0}^{l n (a)} 4 e^{2 x} d x

\int_{0}^{1} \frac{1}{x + x} d x