integral from 0 to 2 of 12x^2

Lösung

\int_{0}^{2} 12 x^{2} d x

32

Schritte zur Lösung

\int_{0}^{2} 12 x^{2} d x

Entferne die Konstante:

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

= 12 \cdot \int_{0}^{2} x^{2} d x

Wende die Potenzregel an

= 12 [\frac{x ^{3}}{3}]_{0}^{2}

Berechne die Grenzen:

\frac{8}{3}

= 12 \cdot \frac{8}{3}

Vereinfache

= 32

\int_{0}^{y^{2}} e^{\frac{x}{y ^{2}}} d x

\int_{2}^{10} (x^{2} + \frac{1}{x}) d x

\int_{0}^{2} (4 x^{2} - x^{4}) d x

\int_{0}^{4} (3 x^{2} + x) d x

\int_{- π}^{π} x^{2} \cdot cos (n x) d x