integral from 0 to pi of (2cos(x))

Lösung

\int_{0}^{π} (2 cos (x)) d x

0

Schritte zur Lösung

\int_{0}^{π} 2 cos (x) d x

Entferne die Konstante:

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

= 2 \cdot \int_{0}^{π} cos (x) d x

Nutze das gemeinsame Integral :

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

= 2 [sin (x)]_{0}^{π}

Berechne die Grenzen:

0

= 2 \cdot 0

Vereinfache

= 0

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

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