$3a\,\,\mathop \smallint \nolimits_0^1 \,\,{\left( {\frac{{ax - 1}}{{a - 1}}} \right)^2}dx$ is equal to

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

3a\,\,\int \nolimits_0^1 \,\,{\left( {\frac{{ax - 1}}{{a - 1}}} \right)^2}dx

is equal to

View answer and explanation

Correct option: A

a - 1 + {\left( {a - 1} \right)^{ - 2}}

Option A is correct because the integral evaluates to the given expression after simplification, matching the form in option A.

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