What should be used?
Calculus
Level
4
Let \(f\colon\mathbb R \to \mathbb R \) be a continuous function satisfying \(\displaystyle f(x) + \int_0^x t f(t) \, dt + x^2 = 0 \) for all real \(x\).
Which of the following is true?
Source: KVPY 2015 (SX/SB stream).
by
Swagat Panda