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JEE Main20245 Apr 2024Morning ShiftMathematicsArea Under CurvesActual

The area of the region enclosed by the parabolas y=x^2-5 x and y=7 x-x^2 is

Correct answer

72

Step-by-step solution

y=x^2-5 x and y=7 x-x^2 aligned & ₀^6(g(x)-f(x)) d x & ₀^6 ( (7 x-x^2 )- (x^2-5 x ) ) d x & ₀^6 (12 x-2 x^2 ) d x= [12 x^2 2 - 2 x^3 3 ]₀^6 & 6(6)^2- 2 3 (6)^3 & =216-144=72 unit ^2 & aligned

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