Question Detail
Question
Obtain the integral ∫ (sin 2x)/(sin x) dx.
Correct Answer
Option C is the correct answer.
Detailed Explanation
Use the double angle identity for sine: sin 2x = 2 sin x cos x.Substitute this into the integral:∫ (2 sin x cos x) / (sin x) dxCancel out sin x (assuming sin x ≠ 0, which is handled by the integration domain):= ∫ 2 cos x dxIntegrate 2 cos x:= 2 sin x + C.
Hint
Apply a trigonometric identity to simplify the integrand before integrating.