Let f be a differentiable function such that 2(x + 2)^2 f(x) - 3(x + 2)^2 = 10 _0^x (t+2)f(t) , dt, x 0. Then...

Question

Let f be a differentiable function such that 2(x + 2)^2 f(x) - 3(x + 2)^2 = 10 _0^x (t+2)f(t) , dt, x 0. Then f(2) is equal to _____.

Accepted Answer

19

JEE Main 2025 Mathematics question