求不定积分,∫dx/(11+5x)^3,
问题描述:
求不定积分,∫dx/(11+5x)^3,
答
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