Definite Integration
General
Grade 12
Question:
Evaluate $\int_{0}^{\pi} \cot x \cos 2x \, dx$
Step-by-Step Solution
Key Concept: General
Let $f(x) = \cot x \cos 2x$
$\Rightarrow f(\pi - x) = \cot(\pi - x) \cos 2(\pi - x) = -\cot x \cos 2x = -f(x)$
$\therefore \int_{0}^{\pi} \cot x \cos 2x \, dx = 0$
Correct Answer: 0