The maximum value of function $f(x) = \int\limits_0^1 {t\,\sin \,\left( {x + \pi t} \right)} dt,\,x \in \,R$ is
The maximum value of function $f(x) = \int\limits_0^1 {t\,\sin \,\left( {x + \pi t} \right)} dt,\,x \in \,R$ is
- A
$\frac{1}{\pi }\sqrt {{\pi ^2} + 4} $
- B
$\frac{1}{{{\pi ^2}}}\sqrt {{\pi ^2} + 4} $
- C
$\sqrt {{\pi ^2} + 4} $
- D
$\frac{1}{{2{\pi ^2}}}\sqrt {{\pi ^2} + 4} $
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