intégrale de-1 a 3 de (3x^2+5x-1)

Solution

\int_{- 1}^{3} (3 x^{2} + 5 x - 1) d x

44

étapes des solutions

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

Appliquer la règle de la somme:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{- 1}^{3} 3 x^{2} d x = 28

\int_{- 1}^{3} 5 x d x = 20

\int_{- 1}^{3} 1 d x = 4

= 28 + 20 - 4

Simplifier

= 44

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