The value of $\smallint \frac{{3x + 2}}{{{{\left( {x - 2} \right)}^2}\,\,\left( {x - 3} \right)}}\;dx$ is

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of

\int \frac{{3x + 2}}{{{{\left( {x - 2} \right)}^2}\,\,\left( {x - 3} \right)}}\;dx

View answer and explanation

Correct option: C

11\,\,\;\log \,\,\frac{{x - 3}}{{x - 2}}\,\, + \,\,\frac{8}{{x - 2}} + c

Option C (

11\,\;\log \,\,\frac{{x - 3}}{{x - 2}}\,\, + \,\,\frac{8}{{x - 2}} + c

) is correct because it is the result of integrating the given rational function using partial fraction decomposition.