The value of I = ∫₀^(π /2) ((sin x + cos x)²)/(√(1 + sin 2x))dx is

Integral Calculus: JEE Main 2004 Mathematics question

JEE Main 2004 · Annual, Paper 1 · Q3333

JEE Main 2004Annual, Paper 1MathematicsMediumIntegral Calculus369× since 2002

The value of

I = \int\limits_0^{\pi /2} {{{{{\left( {\sin x + \cos x} \right)}^2}} \over {\sqrt {1 + \sin 2x} }}dx}

JEE Main 2004 · Annual, Paper 1 · Q3333

JEE Main 2004Annual, Paper 1MathematicsMediumIntegral Calculus369× since 2002

The value of

I = \int\limits_0^{\pi /2} {{{{{\left( {\sin x + \cos x} \right)}^2}} \over {\sqrt {1 + \sin 2x} }}dx}