Maths Question #24 – JEE-MAIN 2026

Question

Let f: R -> R be a function such that f(x) + 3f(pi/2 - x) = sin x, x in R. Let the maximum value of f on R be alpha. If the area of the region bounded by the curves g(x) = x^2 and h(x) = beta x^3, beta > 0, is alpha^2, then 30beta^3 is equal to _______.

Accepted Answer

The correct answer is Option 16. Full mathematical solution steps and hints are accessible in the interactive StemCET workspace.

Maths Question 24 – JEE-MAIN 2026

Ready to master this concept? 🚀