Integrate the following function in

SOLUTION:

= 

=  …….(i)

 

 

 

Comparing coefficients of : A + +B + C = 0 …….(ii)

Comparing coefficients of : –B + 3C= 5 …….(iii)

Comparing constants: –4A – 2B + 2C = 0 …….(iv)

On solving eq. (i), (ii) and (iii), we get A =  B =  C = 

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

= 

= 

=53log|x+1|−52log|x+2|+56log|x−2|+c=53log|x+1|−52log|x+2|+56log|x−2|+c