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 sine: sin(2x) = 2 sin(x) cos(x).Substitute this into the integral: ∫(2 sin(x) cos(x)) / sin(x) dx.Simplify by canceling sin(x): ∫2 cos(x) dx.Integrate: 2 sin(x) + C.
Hint
Start by simplifying the integrand using trigonometric identities.