integral from 0 to pi of sin(x+y)

Lösung

\int_{0}^{π} sin (x + y) d x

- cos (y + π) + cos (y)

Schritte zur Lösung

\int_{0}^{π} sin (x + y) d x

Wende U-Substitution an

= \int_{y}^{y + π} sin (u) d u

Nutze das gemeinsame Integral :

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

= [- cos (u)]_{y}^{y + π}

Berechne die Grenzen:

- cos (y + π) + cos (y)

= - cos (y + π) + cos (y)

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