Most Important Selected Qs for JEE AdvancedMathematicsDefinite Integration

If I₁= _ -100 ¹⁰¹ d x (5+2 x-2 x^2 ) (1+e^ 2-4 x ) and I₂= _ -100 ¹⁰¹ d x 5+2 x-2 x^2 , then l₁ l₂ is

Options

A1 2
B1
C2
Dnone of these

Correct answer

A. 1 2

Step-by-step solution

I₁= _ -100 ¹⁰¹ d x (5+2 x-2 x^2 ) (1+e^ 2-4 x ) = _ -100 ¹⁰¹ d x (5+2(1-x)-2(1-x)^2 ) (1+e^ 2-4(1-x) ) aligned & 2 I ₁= _ -100 ¹⁰¹ dx 5+2 x -2 x ^2 = I ₂ & I ₁ I ₂ = 1 2 . aligned

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