Question Detail
Question
Evaluate ∫₀^π sin³(t) dt
Correct Answer
Option C is the correct answer.
Detailed Explanation
Write sin³t = sin t(1-cos²t) and substitute u=cos t. This gives ∫₀^π sin³t dt = 4/3.
Hint
Split off one sine factor and use u=cos t for the remaining sin²t·(-du) piece.