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The area bounded by the curves y=cosx an...

The area bounded by the curves `y=cosx` and `y=sinx` between the ordinates `x=0` and `x=(3pi)/2` is

A

`4sqrt(2)+1`

B

`4sqrt(2)-1`

C

`4sqrt(2)+2`

D

`4sqrt(2)-2`

Text Solution

Verified by Experts

The correct Answer is:
D
`overset(pi//4)underset(0)int(cos x - sin x ) dx+overset(5pi//4)underset(pi//4)int(sin x - cos x ) dx+overset(3pi//2)underset(5pi//2)int( cos x - sin x) =4sqrt(2)-2`
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