integral from-1.25 to 0 of (5x^3-3x+6)

Lösung

\int_{- 1.25}^{0} (5 x^{3} - 3 x + 6) d x

6.79199 \dots

Schritte zur Lösung

\int_{- 1.25}^{0} 5 x^{3} - 3 x + 6 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_{- 1.25}^{0} 5 x^{3} d x - \int_{- 1.25}^{0} 3 x d x + \int_{- 1.25}^{0} 6 d x

\int_{- 1.25}^{0} 5 x^{3} d x = - 3.05175 \dots

\int_{- 1.25}^{0} 3 x d x = - 2.34375

\int_{- 1.25}^{0} 6 d x = 7.5

= - 3.05175 \dots - (- 2.34375) + 7.5

Vereinfache

= 6.79199 \dots

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