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AREA BOUNDED BY TWO CURVES...

AREA BOUNDED BY TWO CURVES

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C_1 and C_2 are two curves intersecting at (1,1) , C_1 satisfy dy/dx=(y^2-x^2)/(2xy) and C_2 satisfy dy/dx=(2xy)/(-y^2+x^2) then area bounded by these two curves is

Consider the curves y=sin x and y=cos x. What is the area of y=sin x bounded by the above two curves the region bounded by the above two curves and the lines x=0 and x=(pi)/(4)