To find:

Formula Used:

1.

2.

Using partial fractions,

2x – 1 = A (4x + 2) + B

Equating the coefficients of x,

2 = 4A

A

Also, -1 = 2A + B

⇒ B = -2

Substituting in the given equation,

Let I … (1)

Here

⇒ 2tan^-1(2x + 1) + C

Substituting in (1) and combining with original equation,

Therefore,