JEE Main 2026 Mathematics question
is equal to:
Answer: (B)
Solution
With t=x/2, maximise 16 sint cos³t: setting derivative to zero gives tan²t=1/3, t=π/6, giving value 16(1/2)(√3/2)³ = 3√3.
is equal to:
With t=x/2, maximise 16 sint cos³t: setting derivative to zero gives tan²t=1/3, t=π/6, giving value 16(1/2)(√3/2)³ = 3√3.