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What is int(0)^(4pi) |cos x| dx equal to...

What is `int_(0)^(4pi) |cos x| dx` equal to ?

A

`0`

B

`2`

C

`4`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
D
`int_(0)^(4pi) |cos x| dx = 4 int_(0)^(4pi) |cos x| dx = 4 int_(0)^pi |cos x | dx`
`= 4 [(sinx)_(0)^(pi//2) - (sinx)_(pi//2)^(pi) ]`
`= 4 [sin'(pi)/(2)- 0 - sin pi - sin'(pi)/(2)]`
`= 4[2sin'(pi)/(2)] = 8`
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