integral from 3 to 5 of (sin(x-4))/(x-4)

解答

\int_{3}^{5} \frac{sin ( x - 4 )}{x - 4} d x

- Si (- 1) + 0.9460830704

求解步骤

\int_{3}^{5} \frac{sin ( x - 4 )}{x - 4} d x

找到无定义的点（奇点）:

x = 4

如果存在

b, a < b < c, f (b) =

无定义

, \int_{a}^{c} f (x) d x = \int_{a}^{b} f (x) d x + \int_{b}^{c} f (x) d x

= \int_{3}^{4} \frac{sin ( x - 4 )}{x - 4} d x + \int_{4}^{5} \frac{sin ( x - 4 )}{x - 4} d x

\int_{3}^{4} \frac{sin ( x - 4 )}{x - 4} d x = - Si (- 1)

\int_{4}^{5} \frac{sin ( x - 4 )}{x - 4} d x = 0.9460830704

= - Si (- 1) + 0.9460830704

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