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

Lösung

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

\frac{1}{2}

Dezimale

0.5

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{0}^{1} u d u

Wende die Potenzregel an

= [\frac{u ^{2}}{2}]_{0}^{1}

Berechne die Grenzen:

\frac{1}{2}

= \frac{1}{2}

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