x⼀1-5x的不定积分?

2026年09月26日 10:50
有3个网友回答
网友(1):

网友(2):

∫xdx/(1-5x)
=(-1/5)∫[1+(1/5)/(x-1/5)]dx
=(-1/5)[x+(1/5)ln|x-1/5|]+c.

网友(3):

∫[x/(1-5x)]dx=-∫[x/(5x-1)]dx=-∫[(1/5)+1/5(5x-1)]dx
=-(1/5)x-(1/25)∫[1/(5x-1)]d(5x-1)
=-(1/5)x-(1/25)ln∣5x-1∣+C;