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JEE Main20258 Apr 2025Evening ShiftMathematicsArea Under CurvesActual

Let the area of the bounded region (x, y): 0 9 x y^2, y 3 x-6 be A. Then 6 A is equal to ________

Correct answer

0

Step-by-step solution

0 9 x y^2 & y 3 x-6 aligned & A= Required Area = [ ₀^1(-3 x ) d x- ₀^1(3 x-6) d x ] & A=- .3 ( x^ 3 2 3 2 ) |₀ ^1- . ( 3 x^2 2 -6 x ) |₀ ^1 & A=-2[1-0] [ 3 2 -6 ] & A=-2- 3 2 +6= 5 2 Sq. unit & 6 A=6 5 2 =15 aligned

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