Find a function

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Find a function ff , continuous for all xx (and not zero everywhere) such that f2(x)=∫0xf(t)sin⁡t2+cos⁡tdtf^2(x) = \int_{0}^{x} \frac{f(t) \sin t}{2 + \cos t} dt .

Related theory

Browse the problem library