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Putting x = a sin t, the integral of 1/sqrt(a^2 - x^2) simplifies to
Aa sin^-1(x/a) + C
B(1/a) sin^-1(x/a) + C
Csin^-1(x/a) + C
Dcos^-1(x/a) + C
Answer & Solution
Correct answer: C. sin^-1(x/a) + C
Substituting x = a sin t turns the integrand into dt, giving sin^-1(x/a).
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