integral from 1 to 3 of 95+768x^2-16x

Lösung

\int_{1}^{3} 95 + 768 x^{2} - 16 x d x

6782

Schritte zur Lösung

\int_{1}^{3} 95 + 768 x^{2} - 16 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}^{3} 95 d x + \int_{1}^{3} 768 x^{2} d x - \int_{1}^{3} 16 x d x

\int_{1}^{3} 95 d x = 190

\int_{1}^{3} 768 x^{2} d x = 6656

\int_{1}^{3} 16 x d x = 64

= 190 + 6656 - 64

Vereinfache

= 6782

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