Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
f(x) = x cosx + sinx and f(0) = 2, then f(x) =
Text Solution
Verified by ExpertsThe correct answer is:
C
Integrating both sides :
f(x) = 
f(x) = x 
– 
dx + 
f(x) = x sinx – 
dx + 
dx
f(x) = x sin x + c ⇒ f(0) + 2
2 = 0 + c ⇒ ∴ c = 2 ⇒ ∴ f(x) = x sin x + 2
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