integral from-pi to 0 of pi+x

Lösung

\int_{- π}^{0} π + x d x

π^{2} - \frac{π ^{2}}{2}

Dezimale

4.93480 \dots

Schritte zur Lösung

\int_{- π}^{0} 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_{- π}^{0} π d x + \int_{- π}^{0} x d x

\int_{- π}^{0} π d x = π^{2}

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

= π^{2} - \frac{π ^{2}}{2}

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