∫ x^9.Lnx.dx=? Pls Help :)

Question

1581 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-20T21:14:59

# 1/10 x^10 lnx - 1/100 x^10 + c #

# c - "constant" #

We can solve this by integration by parts...

#int (u dv )dx = uv - int (v du )dx #

Let #u = lnx => du = 1/x dx #

let #dv = x^9 => v = 1/10 x^10 #

#=> 1/10 x^10 lnx - int 1/10 x^9 dx #

#= 1/10 x^10 lnx - 1/100 x^10 + c #