Fractional Integral - 2

Calculus Level 5

0101{x3y}dxdy=ABγC \large \int_0^1 \int_0^1 \left \{ \dfrac {x^3}y \right \} \, dx \: dy = \dfrac AB - \dfrac \gamma C

If the equation above holds true for positive integers AA, BB and CC, with AA, BB coprime, find A+B+CA+B+C.

Notations:

×

Problem Loading...

Note Loading...

Set Loading...