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For ∫ dx / sqrt(a² - x²), let x = a sin θ. Result:
Aarctan(x/a)
Barcsin(x/a) + C
Cx/a
Dln|x|
Answer & Solution
Correct answer: B. arcsin(x/a) + C
x = a sin θ, dx = a cos θ dθ, sqrt(a² - x²) = a cos θ. ∫ (a cos θ/a cos θ) dθ = θ + C = arcsin(x/a) + C.
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