1.

Prove that I = int_(0)^(x) sqrt(a^(2) - x^(2)) dx = (1)/(2) x sqrt(a^(2) - x^(2)) + (a^(2))/(2) "arc sin "(x)/(a) (0 lt x le a)

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ANSWER :`S_(OAM) = (a^(2))/(2) "arc SIN " (x)/(a)`


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