Definite Integration Question 352

Question: $ \int_0^{2\pi }{(\sin x+\cos x)dx=} $

[SCRA 1991]

Options:

A) 0

B) 2

C) $ -2 $

D) 1

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Answer:

Correct Answer: A

Solution:

$ \int_0^{2\pi }{(\sin x+\cos x)dx=[-\cos x+\sin x]_0^{2\pi }=0} $ .