integral from 0 to pi/3 of 3sin(x)

Lösung

\int_{0}^{\frac{π}{3}} 3 sin (x) d x

\frac{3}{2}

Dezimale

1.5

Schritte zur Lösung

\int_{0}^{\frac{π}{3}} 3 sin (x) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int_{0}^{\frac{π}{3}} sin (x) d x

Nutze das gemeinsame Integral :

\int sin (x) d x = - cos (x)

= 3 [- cos (x)]_{0}^{\frac{π}{3}}

Berechne die Grenzen:

\frac{1}{2}

= 3 \cdot \frac{1}{2}

Vereinfache

= \frac{3}{2}

\int_{1}^{3} \frac{1}{( x + 1 ) x} d x

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\int_{0}^{1} (e^{2 x}) d x