integral from-1 to 2 of (7-6x^2)

Lösung

\int_{- 1}^{2} (7 - 6 x^{2}) d x

3

Schritte zur Lösung

\int_{- 1}^{2} 7 - 6 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_{- 1}^{2} 7 d x - \int_{- 1}^{2} 6 x^{2} d x

\int_{- 1}^{2} 7 d x = 21

\int_{- 1}^{2} 6 x^{2} d x = 18

= 21 - 18

Vereinfache

= 3

\int_{0}^{2 π} 1 + sin (x) d x

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\int_{0}^{1} \frac{12 x}{x ^{2} + 7} d x