Give an example of the functions f(x) and a (x), when the integrals on the right...

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Give an example of the functions f(x) and a (x), when the integrals on the right side of b b [ * f (x) dar (x) = f*^ (x) da (x) + f f (x) da (x), fra a a C f(x) da (x), c (a;b) exist, but the integral on the left does not exist. Give an example of the functions f(x) and a (x), when the integrals on the right side of b b [ * f (x) dar (x) = f*^ (x) da (x) + f f (x) da (x), fra a a C f(x) da (x), c (a;b) exist, but the integral on the left does not exist.