Let α , β be roots of the quadratic equation 18 x 2 − 9 π x + π 2 = 0 , where α

Question

Let α , β be roots of the quadratic equation 18 x 2 − 9 π x + π 2 = 0 , where α < β . Also f ( x ) = x 2 and g ( x ) = cos x . If the area bounded by the curve y = ( fog ) ( x ) , the vertical lines x = α , x = β and x -axis is λ π ​ , then find the sum of the digit in λ

TestHub · Accepted Answer

Let α , β be roots of the 18 x 2 − 9 π x + π 2 = 0 . ( fog ) ( x ) = f ( cos x ) = cos 2 x . α , β of 18 x 2 − 9 π x + π 2 = 0 are α = 6 π ​ and β = 3 π ​ . area Area = ∫ π /6 π /3 ​ cos 2 x dx = 12 π ​

Mathematics - Area Under Curves Question with Solution | TestHub

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