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Find the intervals in which f(x)=sinx+|s...

Find the intervals in which `f(x)=sinx+|sinx|,\ \ 0

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We have given
`f(x)=sinx+∣sinx∣`,`0`<`x`≤`2pi`
For `x in(0,pi]`,`f(x)=2sinx`
Then
`f'(x)=2cosx`≥`0`
`f'(x)`≥`0`
Therefore, `f(x)` is increasing in `(0,pi]`
For `x in(pi/2,pi]`,`f(x)=2sinx`
...
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