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## Homework Statement

∫ x^2√(a^2 - x^2) dx evaluate integral from 0 to a

## Homework Equations

## The Attempt at a Solution

so i know the format of this problem requires the substitution of asinϑ -π/2 ≤ ϑ ≤ π/2 , but i dont know how to change the bounds of the integral after the substitution of ϑ. i just nedd help with this point the rest of the problem shouldnt be an issue