The value of ∫₋₁¹ ((1 + √(|x|) - x)eˣ + (√(|x|) - x)e⁻ˣ)/(eˣ + e⁻ˣ) dx is equal to:

Integral Calculus: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q141

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumIntegral Calculus369× since 2002

The value of \int_{-1}¹ \frac{(1 + \sqrt{|x|} - x)e^x + (\sqrt{|x|} - x)e^{-x}}{e^x + e^{-x}} \, dx is equal to:

JEE Main 2025 · April, Unspecified (session-level dataset) · Q141

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumIntegral Calculus369× since 2002

The value of \int_{-1}¹ \frac{(1 + \sqrt{|x|} - x)e^x + (\sqrt{|x|} - x)e^{-x}}{e^x + e^{-x}} \, dx is equal to: