How do I find the equation of the curve if the area bounded by the curve y=f (x), x-axis and the line x =a and x =b is equal to sqrt b^2-a^2 where b>a (a is a constant)?

Answer 1

You have been given the definite integral of a function.

You need to apply the Fundamental Theorem of Integral Calculus to get the answer, which BTW is pretty simple in this case.

Oh heck! I should give you another clue. What function integrates to x²?