JEE Main 2024 Mathematics question

MathematicsDefinite IntegrationJEE Main 2024

The value of is equal to:

Answer: (B)

Solution

p(1 − x) = −p(x) for p(x) = 2x³ − 3x² − x + 1, so p³ is odd about x = 1/2 and the integral over [0, 1] is 0.

Question ID VK-011206