The value of $\mathop \smallint \nolimits_2^3 \,\,\frac{{x\,\, + \,\,1}}{{{x^2}\,\,\left( {x - 1} \right)}}\;\,\,dx$ is

$2\,\,\log \,\,2\,\, - \,\,\frac{1}{6}$

$\log \,\,\frac{4}{3}\,\, - \,\,\frac{1}{6}$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

The value of

\int \nolimits_2^3 \,\,\frac{{x\,\, + \,\,1}}{{{x^2}\,\,\left( {x - 1} \right)}}\;\,\,dx

View answer and explanation

Correct option: B

\log \,\,\frac{{16}}{9}\,\, - \,\,\frac{1}{6}

Option B (

\log \,\,\frac{{16}}{9}\,\, - \,\,\frac{1}{6}

) is correct because the integral is solved by partial fraction decomposition.

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