JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

Let

f

be a positive valued function. Let

I_1=\int\limits_{{1-k}}^k x f[x(1-x)] d x

and

I_2=\int\limits_{{1-k}}^k f[x(1-x)] d x

then

I_1 / I_2

View answer and explanation

Correct option: C

\frac{1}{2}

Option C (

\frac{{1}}{{2}}

) is correct because by applying the property of definite integrals,

I_1

can be expressed in terms of

I_2

, leading to the ratio

\frac{{I_1}}{{I_2}} = \frac{{1}}{{2}}

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