2x+1/1dx不定积分

Question

2x+1/1dx不定 积分

Answer 1

求∫dx/(1+2x)?
∫dx/(1+2x),令u=1+2x,du=2dx则dx=du/2
=∫(1/u*du/2)
=(1/2)∫du/u
=(1/2)ln|u|+C
=(1/2)ln|1+2x|+C,C为任意常数