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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
Assuming that ff is everywhere continuous, 1c  ∫acbc  f  (xc)  dx\frac{1}{c}\,\,\int \limits_{ac}^{bc} \,\,f\,\,\left( {\frac{x}{c}} \right)\,\,dx is equal to
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Correct option: B
∫ab  f(x)  dx\int \limits_a^b \,\,f\left( x \right)\,\,dx
Option B (∫ab f(x) dx\int \limits_a^b \,f(x)\,dx) is correct because after substitution and simplification, the integral transforms to this form.

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