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Let \(f(b) =\displaystyle\int _{ 0 }^{ \pi }{ \frac x{ { b }^{ 2 }-{\cos }^{ 2 }x } dx } \) for \(b>1\), then what is \(\dfrac { 15 }{ { \pi }^{ 2 } } f\left( \dfrac { 5 }{ 4 } \right) \)?
Also try Play with functions 5
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