Suppose f(x){“version”:”1.1″,”math”:”f(x)”} is a continuous…
Suppose f(x){“version”:”1.1″,”math”:”f(x)”} is a continuous function defined for all real numbers, and suppose we know that ∫0∞f(x)dx{“version”:”1.1″,”math”:”∫0∞f(x)dx”} converges. For any positive real number c{“version”:”1.1″,”math”:”c”}, ∫0∞f(c+x)dx{“version”:”1.1″,”math”:”∫0∞f(c+x)dx”} must converge.