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The value of \(\frac{e^{-\frac{\pi}{4}}+\int_0^{\frac{\pi}{4}} e^{-x} \tan ^{50} x d x}{\int_0^{\frac{\pi}{4}} e^{-x}\le…

Q1

The value of \(\frac{e^{-\frac{\pi}{4}}+\int_0^{\frac{\pi}{4}} e^{-x} \tan ^{50} x d x}{\int_0^{\frac{\pi}{4}} e^{-x}\left(\tan ^{49} x+\tan ^{51} x\right) d x}\) is

[JEE Main 2023, 13 Apr (Shift 2)]

a

50

b

49

c

51

d

25

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