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Proving an Integral Equation

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If f is continuous for all real numbers, prove that the integral from a to b of f(x+c)dx=the integral from a+c to b+c of f(x)dx. For the case where f(x) is greater than or equal to 0, draw a diagram to interpret this equation geometrically as an equality of areas.

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An integral equaion is proven. Diagrams are included. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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If f is continuous for all real numbers, prove that the integral from a to b of f(x+c)dx=the integral from a+c to b+c of f(x)dx. ...

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