Question

(x) = cosx – ∫(x - t)f(t) x ∈[0,x] dt, then (x) + (x) is equal to

(a) – cosx

(b) – sinx

(c) 0

(d) none of these

Answer 1

Correct option (a) – cosx

Explanation:

∴ f(x) = -cos x - (f(x)1 - 0)

⇒ f(x) + f(x) = -cosx