Math, asked by Anonymous, 8 days ago

 \rm \red{Let \:  f:(0,\infty)\to\R  \: be \: continuous \: function} \\ { \rm \red{ \blue {such \: that}}}  \\ { \rm \red{ \int_{0}^xf(t) \: dt =   -  {2} +  \frac{ {x}^{2} }{2} + 4x \: sin \: 2x  + 2 \: cox \:2 x }} \\  \rm{ \green{then \: the \: value \: of \:  \frac{1}{\pi}f( \frac{\pi}{4}  ) \: is}}

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Answered by AvinashNanganure
2

Answer:

1/4

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