x请把题目截图过来看看
倒数第2行有错误:
答:
x<=√3,f(x)=1
√3
(-1→2010) ∫ f(x) dx
=(-1→√3) ∫ f(x) dx+(√3→2) ∫ f(x)dx+(2→2010) ∫ f(x)dx
=(-1→√3) ∫ dx+(√3→2)∫ √(4-x^2) dx+0 设x=2sint
=(√3+1)+(π/3→π/2) ∫ 2cost d(2sint)
=(√3+1)+(π/3→π/2) 2∫ 2(cost)^2 dt
=(√3+1)+(π/3→π/2) 2∫ cos2t+1 dt
=(√3+1)+(π/3→π/2) (sin2t+2t)
=(√3+1)+(0+π)-(√3/2+2π/3)
=√3/2+1+π/3已经修改过了,结果=√3/2+1+π/3
请查看刚才的追答内容,谢谢