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Most Important Selected Qs for JEE AdvancedMathematicsArea Under Curves

Let y=g(x) be the image of f(x)=x+ x about the line x+y=0 . If the area bounded by y= g ( x ) , x -axis, x=0 and x=2 is A , then A ^2 is

Correct answer

2

Step-by-step solution

f(x) is an odd function g(x) is f⁻¹(x) Area = ₁^ 2 f⁻¹(y) d y= ₀^ 2 f^ (x) d x= [ .x(f(x)) |₀ ^ 2 - ₀^ 2 (x+ x) d x ]=2 ^2

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