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###### Suppose f and 9 aC diflerentiable OH [a.6] and that f and 9 are Riemann integrable on this interval. Prove thatf(r)g' (r)dr = [f(6)g(b) - f(a)g(a)]f' (r)g(r)dz.Hint: Use the Fundamental Theorem of Calculus and the fact that (fg)' f"g + fg'

Suppose f and 9 aC diflerentiable OH [a.6] and that f and 9 are Riemann integrable on this interval. Prove that f(r)g' (r)dr = [f(6)g(b) - f(a)g(a)] f' (r)g(r)dz. Hint: Use the Fundamental Theorem of Calculus and the fact that (fg)' f"g + fg'

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