Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
JEE Advanced 2023 Paper 2 Mathematics Q1
Mathematics
Problem
Let f : [1, ∞) → ℝ be a differentiable function such that f(1) = 1/3 and 3∫₁ˣ f(t) dt = xf(x) − x³/3, x ∈ [1, ∞). Let e denote the base of the natural logarithm. Then the value of f(e) is
Browse the problem library