The integral 80 ∫₀^((π)/2) ((sin θ + cos θ)/(9 + 16 sin 2 θ)) dθ is equal to:

Integral Calculus: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q109

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

The integral

80 \int_0^{\frac{\pi}{2}} \left(\frac{\sin \theta + \cos \theta}{9 + 16 \sin 2 \theta}\right) d\theta

is equal to:

JEE Main 2025 · January, Unspecified (session-level dataset) · Q109

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

The integral

80 \int_0^{\frac{\pi}{2}} \left(\frac{\sin \theta + \cos \theta}{9 + 16 \sin 2 \theta}\right) d\theta

is equal to: