Suppose that f(x), g(x) are differential fuctions and their derivatives are continuous.
Find f(x), g(x) such that f(x)\equal{}\frac 12\minus{}\int_0^x \{f'(t)\plus{}g(t)\}\ dt\ \ g(x)\equal{}\sin x\minus{}\int_0^{\pi} \{f(t)\minus{}g'(t)\}\ dt. calculusintegrationderivativetrigonometrycalculus computations