Question

integrate the function [x/(9 - 4x²)].dx

Answer 1

HELLO DEAR,

Given ∫[x/(9 - 4x²)].dx

let (9 - 4x²) = t

$\bold{-8x = dt/dx}$
$\bold{\Rightarrow dx = dt/(-8x)}$

So, ∫[x/(9 - 4x²)] * dt/(-8x)

⇒ -1/8∫dt/t

⇒ -1/8∫log|t|

put the value of t in above function

⇒ - 1/8(log|9 - 4x²|) + c.

I HOPE ITS HELP YOU DEAR,
THANKS