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Definite Integration question

2025 · 8 Apr · Shift 2 · Q40

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JEE Main
Mathematics
Definite Integration
2025 · 8 Apr · Shift 2 · Q40

Definite Integration question

2025 · 8 Apr · Shift 2 · Q40

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let f(x) be a positive function and

I_{1} = \int\limits_{-\frac{1}{2}}^{1} 2x \, f(2x(1-2x)) \, dx

and

I_{2} = \int\limits_{-1}^{2} f(x(1-x)) \, dx

. Then the value of

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

is equal to

\underline{\hspace{2cm}}

A
12
B
9
C
6
D
4

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