Question

Solve :
$\int \frac{x}{2x-3}dx$

Answer 1

According to question,

$\int \frac{x}{2x-3}dx$

$⟹\frac{1}{2}\int (1+\frac{3}{2x-3})dx$

$⟹\frac{1}{2}(x+\frac{1}{2}ln(2x-3\left)\right)+C$

$⟹\frac{x}{2}+\frac{ln(2x-3)}{4}+C$