integral from 0 to 2pi of cos(x)+1

Lösung

\int_{0}^{2 π} cos (x) + 1 d x

2 π

Dezimale

6.28318 \dots

Schritte zur Lösung

\int_{0}^{2 π} cos (x) + 1 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}^{2 π} cos (x) d x + \int_{0}^{2 π} 1 d x

\int_{0}^{2 π} cos (x) d x = 0

\int_{0}^{2 π} 1 d x = 2 π

= 0 + 2 π

Vereinfache

= 2 π

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