求不定积分,∫dx/(11+5x)^3,

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/26 12:17:51
求不定积分,∫dx/(11+5x)^3,求不定积分,∫dx/(11+5x)^3,求不定积分,∫dx/(11+5x)^3,先配一下dx=1/5d(5x+11)∫dx/(11+5x)^3=1/5∫d(5x

求不定积分,∫dx/(11+5x)^3,
求不定积分,∫dx/(11+5x)^3,

求不定积分,∫dx/(11+5x)^3,
先配一下 dx =1/5 d(5x+11)
∫dx/(11+5x)^3
= 1/5 ∫d(5x+11) / (11+5x)^3
= -1 / [10(11+5x)^2] + C