integral from-3 to 2 of 4sin(x^2)-1

Lösung

\int_{- 3}^{2} 4 sin (x^{2}) - 1 d x

4 (\frac{π}{2} § (\frac{2}{π} \cdot 2) - \frac{π}{2} § (- 3 \frac{2}{π})) - 5

Schritte zur Lösung

\int_{- 3}^{2} 4 sin (x^{2}) - 1 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_{- 3}^{2} 4 sin (x^{2}) d x - \int_{- 3}^{2} 1 d x

\int_{- 3}^{2} 4 sin (x^{2}) d x = 4 (\frac{π}{2} § (\frac{2}{π} \cdot 2) - \frac{π}{2} § (- 3 \frac{2}{π}))

\int_{- 3}^{2} 1 d x = 5

= 4 (\frac{π}{2} § (\frac{2}{π} \cdot 2) - \frac{π}{2} § (- 3 \frac{2}{π})) - 5

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