Question

Calcule la siguiente integral indefinida (Por partes)
∫ ln 4 x

Answer 1

Resposta:

∫ln4xdx

Integrando por partes:

u = ln4x e dv = dx

du = 1/x dx  e v = x

∫udv = uv - ∫vdu

∫ln4xdx = ln4x . x - ∫x . (1/x)dx

∫ln4xdx = x.ln4x - ∫dx

∫ln4xdx = x.ln4x - x + C