Evaluate the integral [ln(x)/(x) dx]
1 Answer
embizze | High School Teacher | (Level 2) Educator Emeritus
Evaluate `int (lnx)/x dx` :
We ` `` `let `u=lnx` . Then `du=1/xdx` and we have:
`intudu=1/2u^2+C` . Substituting for `u` we get `1/2(lnx)^2+C` .
Thus the integral evaluates as `1/2(ln(x))^2+C`
