The value of (e^(- (π)/4) + ∫₀^((π)/4) e⁻ˣ tan ⁵⁰xdx)/(∫₀^((π)/4) e⁻ˣ(tan ⁴⁹x + tan ⁵¹x)dx) is

Integral Calculus: JEE Main 2023 Mathematics question

JEE Main 2023 · 13 Apr, Evening shift · Q3460

JEE Main 202313 Apr, Evening shiftMathematicsHardIntegral Calculus369× since 2002

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

JEE Main 202313 Apr, Evening shiftMathematicsHardIntegral Calculus369× since 2002

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} }}