Correct Answer - c
Required area A is given by
`A underset(0)overset(3pi//2)(int)|cosx-sinx|dx`
`impliesA=underset(0)overset(pi//4)(int)|cosx-sinx|dx+underset(pi//4)overset(5pi//4)(int)|cosx-sinx|dx+underset(5pi//4)overset(3pi//2)(int)|cosx-sinx""|dx`
`impliesA=underset(0)overset(pi//4)(int)(cosx-sinx)dx+underset(pi//4)overset(5pi//4)(int)(sinx-cosx)dx+underset(5pi//4)overset(3pi//2)(int)(cosx-sinx)dx`
`impliesA=[sinx+cosx]_(0)^(pi//4)+[-cosx-sinx]_(pi//4)^(5pi//4)+[sinx+cosx]_(5pi//4)^(3pi//2)`
`impliesA=(sqrt2-1)+(sqrt2+sqrt2)+(-1+sqrt2)=4sqrt2-2`
