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The integral \(80{\int }_{0}^{\frac{\pi }{4}}\left(\frac{\sin \theta +\cos \theta }{9+16\sin 2\theta }\right)d\theta\) i…

Q1

The integral \(80{\int }_{0}^{\frac{\pi }{4}}\left(\frac{\sin \theta +\cos \theta }{9+16\sin 2\theta }\right)d\theta\) is equal to :

[JEE Main 2025, 29 Jan (Shift 1)]

a

\(3 \log _e 4\)

b

\(6 \log _e 4\)

c

\(4 \log _e 3\)

d

\(2 \log _e 3\)

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