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Find the area bounded by functions y1=(4x-x^2)^(1/2) and y2=x(4x-x^2)^(1/2). Total area is given by A= int _0^1 (y1-y2)dx + int _1^4 (y2-y1)dx. How to integrate functions y1 and y2?

Find the area bounded by functions y1=(4x-x^2)^(1/2) and y2=x(4x-x^2)^(1/2). Total area is given by A= int _0^1 (y1-y2)dx + int _1^4 (y2-y1)dx. How to integrate functions y1 and y2?

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