integral from-pi to pi of (x^2+sin^3(x))

Lösung

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

\frac{2 π ^{3}}{3}

Dezimale

20.67085 \dots

Schritte zur Lösung

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

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

\int_{- π}^{π} sin^{3} (x) d x = 0

= \frac{2 π ^{3}}{3} + 0

Vereinfache

= \frac{2 π ^{3}}{3}

\int_{1}^{8} (0.2 x^{2} + 1) d x

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