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Find the area of bounded region f(x) =x^4_2x^2 and g(x) =2x^2 Find the area of bounded region f(x) =x^4_2x^2 and g(x) =2x^2
dear studentdy/dx = 4x^3 - 6x^2 + 2xfor maxima or minima; dy/dx=04x^3 - 6x^2 + 2x = 0x = 1, 1/2, 0d^2y/dx^2 = 12x^2 - 12x + 2at x = 0; d^2y/dx^2 = +veand at x = 1, 1/2; d^2y/dx^2 = -vetherefore point of minima = 1, 1/2Area= integration of y(x) from 1/2 ( lower limit ) to 1 ( upper limit)hope it helps
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