integral from-2 to 2 of 1+sqrt(4-x^2)

Lösung

\int_{- 2}^{2} 1 + 4 - x^{2} d x

4 + 2 π

Dezimale

10.28318 \dots

Schritte zur Lösung

\int_{- 2}^{2} 1 + 4 - x^{2} 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_{- 2}^{2} 1 d x + \int_{- 2}^{2} 4 - x^{2} d x

\int_{- 2}^{2} 1 d x = 4

\int_{- 2}^{2} 4 - x^{2} d x = 2 π

= 4 + 2 π

\int_{1}^{4} 5 x x + 1 d x

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