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Definite Integration question

2023 · 13 Apr · Shift 2 · Q32

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PYQ Library
JEE Main
Mathematics
Definite Integration
2023 · 13 Apr · Shift 2 · Q32

Definite Integration question

2023 · 13 Apr · Shift 2 · Q32

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of

{{{e^{ - {\pi \over 4}}} + \int\limits_0^{{\pi \over 4}} {{e^{ - x}}{{\tan }^{50}}xdx} } \over {\int\limits_0^{{\pi \over 4}} {{e^{ - x}}({{\tan }^{49}}x + {{\tan }^{51}}x)dx} }}

is

A
51
B
50
C
25
D
49

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