integral from 0 to 2 of 1+0.5sin(pix)

Lösung

\int_{0}^{2} 1 + 0.5 sin (π x) d x

2

Schritte zur Lösung

\int_{0}^{2} 1 + 0.5 sin (π x) 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} 1 d x + \int_{0}^{2} 0.5 sin (π x) d x

\int_{0}^{2} 1 d x = 2

\int_{0}^{2} 0.5 sin (π x) d x = 0

= 2 + 0

Vereinfache

= 2

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