A Convolution over eˣ² − cos x

Difficulty: Medium · Topics: Calculus, Limits

eˣ² − cos x ga bo‘lingan o‘rama integral

Let f(x) be continuous with f(0)=0 and f'(0)=2. Find

lim x→ 0frac∫ 0^xf(x-t) dte^x^2-cos x.