integral from 2 to 3 of x^3+x

解答

\int_{2}^{3} x^{3} + x d x

\frac{75}{4}

十进制

18.75

求解步骤

\int_{2}^{3} x^{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_{2}^{3} x^{3} d x + \int_{2}^{3} x d x

\int_{2}^{3} x^{3} d x = \frac{65}{4}

\int_{2}^{3} x d x = \frac{5}{2}

= \frac{65}{4} + \frac{5}{2}

化简

\frac{65}{4} + \frac{5}{2} : \frac{75}{4}

= \frac{75}{4}

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