integral from 0 to pi of cos(x+y+z)

Lösung

\int_{0}^{π} cos (x + y + z) d x

sin (y + z + π) - sin (y + z)

Schritte zur Lösung

\int_{0}^{π} cos (x + y + z) d x

Wende U-Substitution an

= \int_{y + z}^{y + z + π} cos (u) d u

Nutze das gemeinsame Integral :

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

= [sin (u)]_{y + z}^{y + z + π}

Berechne die Grenzen:

sin (y + z + π) - sin (y + z)

= sin (y + z + π) - sin (y + z)

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