integral from 0 to pi of sin^2(x)*cos(x)

Lösung

\int_{0}^{π} sin^{2} (x) \cdot cos (x) d x

0

Schritte zur Lösung

\int_{0}^{π} sin^{2} (x) cos (x) d x

Berechne das unbestimmte Integral:

\int sin^{2} (x) cos (x) d x = \frac{sin ^{3} ( x )}{3} + C

Berechne die Grenzen:

\int_{0}^{π} sin^{2} (x) cos (x) d x = 0 - 0

= 0 - 0

Vereinfache

= 0

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