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

Lösung

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

\frac{128}{7}

Dezimale

18.28571 \dots

Schritte zur Lösung

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

Vereinfache

(x^{3})^{2} : x^{6}

= \int_{0}^{2} x^{6} d x

Wende die Potenzregel an

= [\frac{x ^{7}}{7}]_{0}^{2}

Berechne die Grenzen:

\frac{128}{7}

= \frac{128}{7}

\int_{- 1}^{2} \frac{x ^{2}}{x + 2} d x

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

\int_{1}^{2} x^{2} + \frac{1}{x ^{4}} d x

\int_{3}^{4} \frac{2}{25 - x ^{2}} d x

\int_{0}^{4} 3 t - 7 d t