CalculusMediumNon-Elementary Integration ShareNon-Elementary Integration · Medium problemUse Frullani's theorem, ∫0∞f(ax)−f(bx)x dx=(f(0)−f(∞))lnba\displaystyle\int_0^{\infty}\dfrac{f(ax)-f(bx)}{x}\,dx=\bigl(f(0)-f(\infty)\bigr)\ln\dfrac{b}{a}∫0∞xf(ax)−f(bx)dx=(f(0)−f(∞))lnab, to evaluate ∫0∞tanh3x−tanhxx dx\displaystyle\int_0^{\infty}\dfrac{\tanh 3x-\tanh x}{x}\,dx∫0∞xtanh3x−tanhxdx.Check Show answer Walk through it step by step Practice more like this Review this concept