JEE Advanced 2022 Mathematics question

MathematicsArea Under CurveJEE Advanced 2022

Consider the functions defined by

f(x) = + and g(x) =

If is the area of the region

{(x, y) × : |x| ,\ 0 y \{f(x), g(x)\}},

then the value of is .

Answer: 6

Solution

Both functions are even, so compute for and double. : . For , ; for , .

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Question ID VK-034015