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Question

Mathematics Question on Definite Integral

The value of eπ4+0π4extan50x dx0π4ex(tan49x+tan51x)dx\frac{e^{-\frac{\pi}{4}}+\int^{\frac{\pi}{4}}_{0}e^{-x}\tan^{50}x\ dx}{\int^{\frac{\pi}{4}}_{0}e^{-x}(\tan^{49}x+\tan^{51}x)dx} is

A

25

B

49

C

50

D

51

Answer

50

Explanation

Solution

The correct answer is (C) : 50