第9章 9.10

(1)

$\int_0^{a} f_{(x)}\, dx = \left[F_{(x)}\right]_0^{a} = F_{(a)} - F_{(0)}$

$\int_0^{a} f_{(a-x)}\, dx = \left[-F_{(a-x)}\right]_0^{a} = F_{(a)} - F_{(0)}$

(2)

$\int_a^{b} f_{(x)}\, dx = \left[F_{(x)}\right]_a^{b} = F_{(b)} - F_{(a)}$

$\int_a^{b} f_{(a+b-x)}\, dx = \left[-F_{(a+b-x)}\right]_a^{b} = F_{(b)} - F_{(a)}$

(3)

$\int_0^{a} f_{(x)}\, dx = \left[F_{(x)}\right]_0^{a} = F_{(a)} - F_{(0)}$

$\int_0^{\frac{a}{2}} \{f_{(x)} + f_{(a-x)}\}\, dx = \left[F_{(x)} - F_{(a-x)}\right]_0^{\frac{a}{2}} = F_{(\frac{a}{2})} - F_{(\frac{a}{2})} - \{F_{(0)} - F_{(a)}\} = F_{(a)} - F_{(0)}$