\int_{\pi \/ 4}^{\pi \/ 3} \frac{\cos x- \sin x}{ \sin 2 x} \dx= [AP EAPCET 21 May 2025 S1]

Correct Answer is : 12log[(3+2√2)(2−√3)√3]

\frac{1}{2} \log [ {(3+2 \sqrt{2})(2-\sqrt{3})}/{\sqrt{3}}]

\frac{1}{2} \log [ {(3-2 \sqrt{2})(2+\sqrt{3})}/{\sqrt{3}}]

\log [ {(3-2 \sqrt{2})(2-\sqrt{3})}/{\sqrt{3}}]

\log [ {(3+2 \sqrt{2})(2-\sqrt{3})}/{\sqrt{3}}]

Definite Integration

Section: Mathematics

Question : 23 of 54

Marks: +1, -0

π∕3

∫

π∕4

‌

cos‌x−sin‌x

sin‌2x

‌dx=

[AP EAPCET 21 May 2025 S1]

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