integral from-2 to-1 of 4-x^2

Lösung

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

\frac{5}{3}

Dezimale

1.66666 \dots

Schritte zur Lösung

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

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

\int_{- 2}^{- 1} x^{2} d x = \frac{7}{3}

= 4 - \frac{7}{3}

Vereinfache

4 - \frac{7}{3} : \frac{5}{3}

= \frac{5}{3}

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