求下列函数的积分~

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/25 15:51:41
求下列函数的积分~
xjQo%D* ؜9?vvFm3v"MJ*F\7z'3]4.G/g{-sOE׷nC @K<EO>>xfVtdnBPd{P3:S; 3͈g'cHQ!Fw'QFYh4Yz&GZZĄXbZn%x]Ɉ^C$&tmgxCvZz~ܞK1@ N \,ōݐ+GJXh8ŞYh*Kh$XX8*kC)+/WbRRHPQ [UÙmeuE  ݸu6gV#o'V 4ЙS}^9 SC\t"fǓft8^Xu!X l/

求下列函数的积分~
求下列函数的积分~

求下列函数的积分~
∫(4,1)x½dx=∫(4,1)(2/3)d(x^(3/2))=(2/3)x^(3/2)|(4,1)=(2/3)×4^(3/2)-(2/3)×1^(3/2)=16/3-2/3=14/3;

x^(1/2)的原函数是 2/3·x^(3/2)
积分=2/3·4^(3/2)-2/3·1^(3/2)
=4/3·根号下3-2/3

(2/3)x^(3/2)的导数是√x,所以(2/3)4^(3/2)-(2/3)1^(3/2)=