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

Lösung

\int_{0}^{π} (sin (x) + cos (y)) d x

π cos (y) + 2

Schritte zur Lösung

\int_{0}^{π} sin (x) + cos (y) d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{π} cos (y) d x + \int_{0}^{π} sin (x) d x

\int_{0}^{π} cos (y) d x = π cos (y)

\int_{0}^{π} sin (x) d x = 2

= π cos (y) + 2

\int_{2}^{3} (3 x + 1) d x

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