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Prove:
Prove: $\int_0^{\frac{3\pi}{4}} \frac{x\,dx}{1 + \sin x} = (\sqrt{2} - 1)\pi$
Given: \int_0^{\frac{3\pi}{4}} \frac{x\,dx}{1 + \sin x}
To show: (\sqrt{2} - 1)\pi
Answer
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From ISC 2025 Mathematics Paper 1, question 11(i).