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If f(x) = sin x +cos x and g(x) = {:{((|...

If `f(x) = sin x +cos x and g(x) = {:{((|x|)/(x),","x ne0),(2,","x=0):}` then the value of `underset(-pi//4)overset(2pi)int ` go f(x) dx is equal to

A

`(3pi)/(4)`

B

`(pi)/(4)`

C

`pi`

D

None of these

Text Solution

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The correct Answer is:
B
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