integral from 3 to sin(x) of x^3

Lösung

\int_{3}^{s i n (x)} x^{3} d x

\frac{sin ^{4} ( x ) - 81}{4}

Schritte zur Lösung

\int_{3}^{s i n (x)} x^{3} d x

Wende die Potenzregel an

= [\frac{x ^{4}}{4}]_{3}^{s i n (x)}

Berechne die Grenzen:

\frac{sin ^{4} ( x )}{4} - \frac{81}{4}

= \frac{sin ^{4} ( x )}{4} - \frac{81}{4}

Vereinfache

= \frac{sin ^{4} ( x ) - 81}{4}

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