integral from 0 to pi of sqrt(x)-sin(x)

Lösung

\int_{0}^{π} x - sin (x) d x

\frac{2 π ^{\frac{3}{2}}}{3} - 2

Dezimale

1.71221 \dots

Schritte zur Lösung

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

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

\int_{0}^{π} sin (x) d x = 2

= \frac{2 π ^{\frac{3}{2}}}{3} - 2

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