After changing the order of integration the limits of the integral \int_{-a}^{a} \int_{0}^{\sqrt{a^2 - x^2}} dx\,dy are : _______________

Question

After changing the order of integration the limits of the integral    \int_{-a}^{a} \int_{0}^{\sqrt{a^2 - x^2}} dx\,dy   are : _______________

Answer

y = 0 	ext{ to } a, \quad x = -\sqrt{a^2 - y^2} 	ext{ to } \sqrt{a^2 - y^2}

Answer

y = -a 	ext{ to } a, \quad x = 0 	ext{ to } \sqrt{a^2 - y^2}

Answer

x = 0 	ext{ to } a, \quad y = -\sqrt{a^2 - x^2} 	ext{ to } \sqrt{a^2 - x^2}

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