A Convolution Integral
Difficulty: Medium · Topics: Calculus, Integration, Fundamental Theorem of Calculus
O‘rama integral
The function f(x)=(1)/(x+2) satisfies
F(x)=∫ 0^xt f(x-t) dt (x≥ 0).
When F'(a)=2, find a. (a is a constant)
f(x)=(1)/(x+2) funksiya uchun
F(x)=∫ 0^xt f(x-t) dt (x≥ 0).
F'(a)=2 bo‘lganda a ni toping. (a — o‘zgarmas)