integral from 0 to pi of (10+x)

Lösung

\int_{0}^{π} (10 + x) d x

10 π + \frac{π ^{2}}{2}

Dezimale

36.35072 \dots

Schritte zur Lösung

\int_{0}^{π} 10 + 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} 10 d x + \int_{0}^{π} x d x

\int_{0}^{π} 10 d x = 10 π

\int_{0}^{π} x d x = \frac{π ^{2}}{2}

= 10 π + \frac{π ^{2}}{2}

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