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Evaluate the following integrals: int_2^3 (1/(x^2-1))dx

Answer»

SOLUTION :`int_2^3 DX/(x^2-1) = [1/2 LOG|(x-1)/(x+1)|]_2^3`
=`1/2[log|(3-1)/(3+1)| -log|(2-1)/(2+1)|]`
=`1/2[log (2/4) -log(1/3)]`
=`1/2 log[(2/4)/(1/3)] = 1/2 log[3/2]`


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