integral from-1 to 8 of (-x^2+10x)

Lösung

\int_{- 1}^{8} (- x^{2} + 10 x) d x

144

Schritte zur Lösung

\int_{- 1}^{8} - x^{2} + 10 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_{- 1}^{8} x^{2} d x + \int_{- 1}^{8} 10 x d x

\int_{- 1}^{8} x^{2} d x = 171

\int_{- 1}^{8} 10 x d x = 315

= - 171 + 315

Vereinfache

= 144

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