Worked problem in calculus. We calculate the definite integrals int_1^2 dx/sqrt(4-x^2) and int_0^(sqrt(3)/2) sin^-1 (x) dx/sqrt(1-x^2). The first integral uses the rule int dx/sqrt(1-x^2) = sin^-1(x) + C. The second rule is the special u-substitution when we have f(x)f'(x) as integrand.
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