integral from a to b of (x^2)

Lösung

\int_{a}^{b} (x^{2}) d x

\frac{b ^{3} - a ^{3}}{3}

Schritte zur Lösung

\int_{a}^{b} x^{2} d x

Wende die Potenzregel an

= [\frac{x ^{3}}{3}]_{a}^{b}

Berechne die Grenzen:

\frac{b ^{3}}{3} - \frac{a ^{3}}{3}

= \frac{b ^{3}}{3} - \frac{a ^{3}}{3}

Vereinfache

= \frac{b ^{3} - a ^{3}}{3}

\int_{- 1}^{1} x (x^{2} + 2)^{3} d x

\int_{1}^{11} 6 x^{- 2} d x

\int_{- a}^{a} (a^{2} - x^{2}) d x

\int_{3}^{6} x^{4} d x

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