Option B. We're given the expression:

Definite Integration

JEE Main 2023 · 13 Apr, Evening shift · Q3460

MathematicsHard210×since 2002Q3460

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} }}

JEE Main 2023 · 13 Apr, Evening shift · Q3460

MathematicsHard210×since 2002Q3460

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} }}

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