What would be the area bounded by the curves (x,y):y> or equal to x square and y=mod x?
Asked by chandrakiran kallepally
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1 Answer
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The answer is 1/3 sq units. Actually, in the given question, we have 2 equations i.e., y=mod x and y greater than or equal to x square. The graphs of both the equations are drawn and next solve the equations.
We get the common meeting points as (0,0) and (1,1). So integrate, the equation (mod x-x square) from 0 to1 and multiply it with 2 because the area we got is only the area that was covered in the 1st quadrant.
By multiplying, we get the area that is covered in the 2nd quadrant too. My suggestion is that when you get the equation with greater than or equal to or less than or equal to, solve the equation consider only one condition t...more
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