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find the area between y²= x and x²=y


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area between y²= x and x²=y
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first solve y²= x and x²=y to get the points of intersection
and thus get the limits of integration
draw rough figure
refer to either axes
with ref. to the x-axis find out the upper curve (here y²= x  or y = sqrt(x)  black curve)
and lower curve (here x² =y or y = x²  pink curve)

use the formula integral of y(upper) - y(lower ) with suitable limits
answer and  some steps are given below
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area between two parabolas

other problems on integration
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