Question Number 100207 by Rio Michael last updated on 25/Jun/20

Given an even fuction f(x) such that ∫_(−a) ^a f(x)dx = (√a) ∀a ≥0 find ∫_3 ^4 f(x) dx

Commented bymr W last updated on 25/Jun/20

∫_0 ^a f(x)dx=((√a)/2) ∫_0 ^4 f(x)dx=((√4)/2)=1 ∫_0 ^3 f(x)dx=((√3)/2) ∫_3 ^4 f(x)dx=∫_0 ^4 −∫_0 ^3 =1−((√3)/2)

Commented byRio Michael last updated on 25/Jun/20

perfect sir