integral from 0 to 1 of sin^4(x)*cos(x)

Lösung

\int_{0}^{1} sin^{4} (x) \cdot cos (x) d x

\frac{sin ^{5} ( 1 )}{5}

Dezimale

0.08437 \dots

Schritte zur Lösung

\int_{0}^{1} sin^{4} (x) cos (x) d x

Wende U-Substitution an

= \int_{0}^{s i n (1)} u^{4} d u

Wende die Potenzregel an

= [\frac{u ^{5}}{5}]_{0}^{s i n (1)}

Berechne die Grenzen:

\frac{sin ^{5} ( 1 )}{5}

= \frac{sin ^{5} ( 1 )}{5}

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