Question: Show the result in problem 81 by differentiating the right side to get the integrand. In problem 81 dx/a2 - x2 = sin-1 x/a +
In problem 81
∫dx/√a2 - x2 = sin-1 x/a + C, a > 0
By writing a2 - x2 = a2 [1-(x/a)2] and making the substitution u = x/a
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