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f: R rarr R; f(x)=x sin x+cos x+sin2x .I...

f: `R rarr R`; `f(x)=x sin x+cos x+sin2x` .If `f(x)=f_(1)(x)+f_(2)(x)` where `f_(1),f_(2)` are odd and even. function respectively with the same domain as `f` ,then `(f_(1)-f_(2))((pi)/(2))=`
1) `(pi)/(2)`
2) `(-pi)/(2)`
3) `0`
4) `pi`

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