JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)If 24∫0π4(sin∣4x−π12∣+∣2sinx∣)dx=2π+α24 \int_0^{\frac{\pi}{4}} \left(\sin \left|4x - \frac{\pi}{12}\right| + |2 \sin x|\right) dx = 2\pi + \alpha24∫04π(sin4x−12π+∣2sinx∣)dx=2π+α, where [⋅][\cdot][⋅] denotes the greatest integer function, then α\alphaα is equal to:Your answerInteger or decimalCheckStep-by-step hintSkip · show solution
