Integral that equals minus itself under x to a + b - x, so it is zero

This type of question, asked 2 times: 16 Apr 2026 S1, 15 May 2026 S1. All 2 questions below, oldest first.

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Question 1
16 Apr 2026 S1
79 $\displaystyle\int_{\pi/6}^{\pi/3}\dfrac{\sin x - \cos x}{1 + \sin x\cos x}\,dx =$
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Question 2
15 May 2026 S1
83 $\int_{\pi/6}^{\pi/3} \sin 2x \log(\tan x)\, dx = \ldots$
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