Question Detail
Question
Obtain the integral ∫ (sin 2x / sin x) dx.
Correct Answer
Option C is the correct answer.
Detailed Explanation
First, use the double angle identity for sin 2x, which is sin 2x = 2 sin x cos x.Substitute this into the integral:∫ (2 sin x cos x / sin x) dx.Cancel out sin x (assuming sin x ≠ 0):∫ 2 cos x dx.Now, integrate 2 cos x:= 2 sin x + C.
Hint
Start by using a trigonometric identity for sin 2x to simplify the integrand.