integral from-pi to pi of x+pi

Lösung

\int_{- π}^{π} x + π d x

2 π^{2}

Dezimale

19.73920 \dots

Schritte zur Lösung

\int_{- π}^{π} x + π 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_{- π}^{π} x d x + \int_{- π}^{π} π d x

\int_{- π}^{π} x d x = 0

\int_{- π}^{π} π d x = 2 π^{2}

= 0 + 2 π^{2}

Vereinfache

= 2 π^{2}

\int_{- 6}^{0} 5 + 36 - x^{2} d x

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