If f is a function whose domain includes all real numbers, the improper integral ∫∞-∞f (x) dx is defined to equal ∫0-∞f (x) dx∫∞0 f (x) dx provided both of those improper integrals converge. with that definition in mind, the improper integral ∫∞-∞x 31+x 4 dx will:
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