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Show that f(x)=x^2-xsinx is an increasin...

Show that `f(x)=x^2-xsinx` is an increasing function on `(0,pi/2)dot`

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`f(x)=x^{2}-x sin x`
` f^{prime}(x)=2 x-x cos x-sin x`
Here,
`0` Rightarrow 0` Rightarrow 2 x-x cos x-sin x>0 `
` Rightarrow f^{prime}(x)>0, forall x in(0, frac{pi}{2})`
...
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