integral from-4 to 3 of-x^2-3x

解答

\int_{- 4}^{3} - x^{2} - 3 x d x

- \frac{119}{6}

十进制

- 19.83333 \dots

求解步骤

\int_{- 4}^{3} - x^{2} - 3 x d x

使用积分加法定则:

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

= - \int_{- 4}^{3} x^{2} d x - \int_{- 4}^{3} 3 x d x

\int_{- 4}^{3} x^{2} d x = \frac{91}{3}

\int_{- 4}^{3} 3 x d x = - \frac{21}{2}

= - \frac{91}{3} - (- \frac{21}{2})

化简

- \frac{91}{3} - (- \frac{21}{2}) : - \frac{119}{6}

= - \frac{119}{6}

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