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Improper Integral Convergence Calculator . Compute answers using wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Type in any integral to get the solution, free steps and graph calculus Improper integral convergence for different powers of a from math.stackexchange.com For math, science, nutrition, history. ∫ ∞ 1 1 x dx ∫ 1 ∞ 1 x d x. If p <1, then we have.