Q. 204.3( 3 Votes )

Evaluate the foll

Answer :

We have given,


We can write it as





Now, we will use Integration by a partial fraction in the second integral,


Let


4x + 3 = A(x + 1) + B(x + 3)


Now, Put x = - 3 , because fraction B will be zero then we get


4( - 3) + 3 = A( - 3 + 1) + B( - 3 + 3)


- 12 + 3 = - 2A



And, Now put x = - 1 , then we get


4( - 1) + 3 = A( - 1 + 1) + B( - 1 + 3)


- 4 + 3 = 2B



So,










Hence. This is the solution of given integral.


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