区间[-1.1]定积分dx/根号(5-4x)

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/28 02:06:24
区间[-1.1]定积分dx/根号(5-4x)
x){ڳ-ѺzOz|ӎ g v>~OIMR>J lH2MB:VG?꘥Me4t M4A8P2#M[UnXQ:@ôij5Yrh1\PF 1yό

区间[-1.1]定积分dx/根号(5-4x)
区间[-1.1]定积分dx/根号(5-4x)

区间[-1.1]定积分dx/根号(5-4x)
F(x)=∫[1/√(5-4x)]dx
=(-1/4)∫[(5-4x)^(-1/2)]d(5-4x)
=(-1/2)(5-4x)^(1/2)+C
=(-1/2)√(5-4x)+C.
∴∫[-1,1]dx/√(5-4x)
=F(1)-F(-1)
=(-1/2)·(1-3)
=1.