Inspired by Hummus

Calculus Level 5

01{1x1/6}dx=ABπCD \int _{ 0 }^{ 1 }{ \left\{ \dfrac { 1 }{ { x }^{1/6 } } \right\} \,dx } =\dfrac { A }{ B } -\dfrac { { \pi }^{ C } }{ D }

The equation above holds true for positive integers A,B,C,A,B,C, and DD, with AA and BB coprime.

Find A+B+C+DA+B+C+D.

Notation: {} \{ \cdot \} denotes the fractional part function.

×

Problem Loading...

Note Loading...

Set Loading...