∫ (ln(x)/(x*(1+ln(x))^2) dx
use u = 1+ln(x) as the substitution du/dx = 1/xdx = x du ∫ (ln(x)/(x*(1+ln(x))^2) dx = ∫ ((u-1)x/ x(u^2)) du = ∫ (u-1)/(u^2) du
JB
Related Maths A Level answers
All answers ▸What is the difference between differentiation and integration, and why do we need Calculus at all?
Find the first derivative of 2x^3+5x^2+4x+1 (with respect to x)
Solve the following: sinx - cosx = 0 for 0≤x≤360
Is AB perpendicular to BC where A =(2,0,-1), B=(4,3,-6) and C = (9,3,-4)