Integrate the following function in
Integrate the following function in

SOLUTION:

 …….(i)

[On dividing numerator by denominator]

Let 

 …….(ii)

 

 

Comparing coefficients of : A + B = 2 …….(iii)

Comparing constants: –A + B = 1 …….(iv)

On solving eq. (iii) and (iv), we get A =  B = 

Putting the values of A, B and C in eq. (ii), 

Putting this value in eq. (i),