integral from-2 to 3 of (x+3)

解答

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

\frac{35}{2}

十进制

17.5

求解步骤

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

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

\int_{- 2}^{3} 3 d x = 15

= \frac{5}{2} + 15

化简

\frac{5}{2} + 15 : \frac{35}{2}

= \frac{35}{2}