integral from 0 to pi/4 of cos(x)sin(x)

Lösung

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

\frac{1}{4}

Dezimale

0.25

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{0}^{\frac{2}{2}} u d u

Wende die Potenzregel an

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

\frac{2}{2} = \frac{1}{2}

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

Berechne die Grenzen:

\frac{1}{4}

= \frac{1}{4}

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