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JEE Main20252 Apr 2025Morning ShiftMathematicsArea Under CurvesActual

If the area of the region (x, y): |4-x^2 | y x^2, y 4, x 0 is ( 80 2 - ), , N , then + is equal to _______.

Correct answer

0

Step-by-step solution

A = ₀^4 4+ y dy - ₀^2 4- y dy - ₂^4 y dy = ( (4+y)^ 3 2 3 2 )₀^4+ ( (4-y)^ 3 2 3 2 )₀^2- ( y ^ 3 2 3 2 )₀^4 80 2 3 -16= 40 2 3 -16 =6, =16 + =22

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