integral from 4 to 5 of x^2+2x+2

解答

\int_{4}^{5} x^{2} + 2 x + 2 d x

\frac{94}{3}

十进制

31.33333 \dots

求解步骤

\int_{4}^{5} x^{2} + 2 x + 2 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}^{5} x^{2} d x + \int_{4}^{5} 2 x d x + \int_{4}^{5} 2 d x

\int_{4}^{5} x^{2} d x = \frac{61}{3}

\int_{4}^{5} 2 x d x = 9

\int_{4}^{5} 2 d x = 2

= \frac{61}{3} + 9 + 2

化简

\frac{61}{3} + 9 + 2 : \frac{94}{3}

= \frac{94}{3}

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