integral from 0 to 8 of (x^3)^2

Lösung

\int_{0}^{8} (x^{3})^{2} d x

\frac{2097152}{7}

Dezimale

299593.14285 \dots

Schritte zur Lösung

\int_{0}^{8} (x^{3})^{2} d x

Vereinfache

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

= \int_{0}^{8} x^{6} d x

Wende die Potenzregel an

= [\frac{x ^{7}}{7}]_{0}^{8}

Berechne die Grenzen:

\frac{2097152}{7}

= \frac{2097152}{7}

\int_{0}^{1} \frac{x}{1 + 3 x ^{2}} d x

\int_{0}^{\frac{6}{7}} \frac{1}{49 x ^{2} + 36} d x

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

\int_{1}^{5} \frac{2 x}{x ^{2} - 4} d x

\int_{4}^{7} \frac{1}{x} d x