1. Mathematics
2. Calculus and Analysis
3. Real Analysis
4. Integrals
5. 11036

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Use the given information:

the functions g:[a,b]->R and h:[a,b]->R are continuous with h(x) >= 0 for all x in [a,b], and there is a point c in (a,b) such that:

the integral from a to b of h(x)g(x)dx =
g(c) times the integral from a to b of h(x)dx.

to show that the Cauchy Integral Remainder Theorem implies the Lagrange Remainder Theorem if the function f^(n+1):I->R is assumed to be continuous.