Integrate the following function in

SOLUTION:

=  …….(i)

 

 

 

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

Comparing coefficients of : A + B – 2C= 1 …….(iii)

Comparing constants: –2A + 2B + C = 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), 

= 

 

= 

= 

= 

= 

=