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Indefinite integral:

 integral sqrt(a^2 - x^2) dx = 1\/2 (x sqrt(a^2 - x^2) + a^2 tan^(-1)(x\/sqrt(a^2 - x^2))) + constant


Alternate form of the integral:

1\/2 x sqrt(a^2 - x^2) + 1\/4 i a^2 log(1 - (i x)\/sqrt(a^2 - x^2)) - 1\/4 i a^2 log(1 + (i x)\/sqrt(a^2 - x^2)) + constant


Expanded form of the integral:

1\/2 x sqrt(a^2 - x^2) + 1\/2 a^2 tan^(-1)(x\/sqrt(a^2 - x^2)) + constant

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