2个回答
展开全部
(1)当1<=x<=4时,2<=x^2+1<=17
∫(1,4)2dx<=∫(1,4)(x^2+1)dx<=∫(1,4)17dx
6<=∫(1,4)(x^2+1)dx<=51
(2)因为被积函数e^(-x^2)是偶函数,所以
∫(-a,a)e^(-x^2)dx=2∫(0,a)e^(-x^2)dx
当0<=x<=a时,e^(-a^2)<=e^(-x^2)<=1
∫(0,a)e^(-a^2)dx<=∫(0,a)e^(-x^2)dx<=∫(0,a)1dx
2ae^(-a^2)dx<=∫(-a,a)e^(-x^2)dx<=2a
∫(1,4)2dx<=∫(1,4)(x^2+1)dx<=∫(1,4)17dx
6<=∫(1,4)(x^2+1)dx<=51
(2)因为被积函数e^(-x^2)是偶函数,所以
∫(-a,a)e^(-x^2)dx=2∫(0,a)e^(-x^2)dx
当0<=x<=a时,e^(-a^2)<=e^(-x^2)<=1
∫(0,a)e^(-a^2)dx<=∫(0,a)e^(-x^2)dx<=∫(0,a)1dx
2ae^(-a^2)dx<=∫(-a,a)e^(-x^2)dx<=2a
本回答被提问者采纳
已赞过
已踩过<
评论
收起
你对这个回答的评价是?
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询