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

Lösung

\int_{0}^{3} π (x)^{2} d x

π 9

Dezimale

28.27433 \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

Wende die Potenzregel an

= π [\frac{x ^{3}}{3}]_{0}^{3}

Berechne die Grenzen:

9

= π 9

\int_{1}^{3} 2 π x (\frac{e ^{x}}{x}) d x

\int \frac{1}{X} d X

\int \frac{2 x}{e ^{x^{2}}} d x

\int_{6}^{8} \frac{18}{( x - 6 ) ^{3}} d x

\int_{6}^{7} π (2 x + 2)^{2} d x