Foros Ciencias Galilei

∫x^5/4·Ln (x)·dx

Por partes:

u = Ln x    du = dx/x

dv = x^5/4·dx      v = 4·x^9/4/9



∫x^5/4·Ln (x)dx = Lx·4·x^9/4/9 - (4/9)·∫x^9/4·dx/x =

= (1/9)·Lx·4·x^9/4 - (4/9)·∫x^5/4·dx =

= (1/9)·Lx·4·x^9/4 - (4/9)²·x^9/4 =

x^9/4·(Lx/9 - 16/81) + cte

Repasar.

Nota:

x^9/4 = x²·⁴√x