integral from 0 to pi/2 of 3-3sin(x)

Lösung

\int_{0}^{\frac{π}{2}} 3 - 3 sin (x) d x

\frac{3 π}{2} - 3

Dezimale

1.71238 \dots

Schritte zur Lösung

\int_{0}^{\frac{π}{2}} 3 - 3 sin (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}^{\frac{π}{2}} 3 d x - \int_{0}^{\frac{π}{2}} 3 sin (x) d x

\int_{0}^{\frac{π}{2}} 3 d x = \frac{3 π}{2}

\int_{0}^{\frac{π}{2}} 3 sin (x) d x = 3

= \frac{3 π}{2} - 3

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