integral from 1 to 2 of cx^2

Lösung

\int_{1}^{2} c x^{2} d x

\frac{7 c}{3}

Schritte zur Lösung

\int_{1}^{2} c x^{2} d x

Entferne die Konstante:

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

= c \cdot \int_{1}^{2} x^{2} d x

Wende die Potenzregel an

= c [\frac{x ^{3}}{3}]_{1}^{2}

Berechne die Grenzen:

\frac{7}{3}

= c \frac{7}{3}

Vereinfache

= \frac{7 c}{3}

\int_{- 1}^{0} 4 x^{2} 4 x^{3} + 6 d x

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