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Using properties of definite integral, prove that:
Using properties of definite integral, prove that:
$\int_0^\pi \frac{x}{1 + \sin x} \, dx = \pi$
Given: $\int_0^\pi \frac{x}{1 + \sin x} \, dx$
To show: $\pi$
Answer
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From ISC 2026 Improvement Mathematics Paper 1, question 12(ii).