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int(0)^(2pi) sqrt(1-cos 2x)/(2)dx=...

`int_(0)^(2pi) sqrt(1-cos 2x)/(2)dx=`

A

4

B

2

C

8

D

6

Text Solution

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The correct Answer is:
A
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A:int_(0)^(100pi)sqrt(1-cos2x)dx=200sqrt2 . If f(x) is a periodic function with period a then int_(0)^(na)f(x)dx=nint_(0)^(a)f(x)dx