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What is the integral of 1 x? - Mathematics Stack Exchange 16 Answers to the question of the integral of 1 x 1 x are all based on an implicit assumption that the upper and lower limits of the integral are both positive real numbers If we allow more generality, we find an interesting paradox For instance, suppose the limits on the integral are from −A A to +A + A where A A is a real, positive number
calculus - Finding $\int x^xdx$ - Mathematics Stack Exchange The integral ∫xxdx ∫ x x d x can be expressed as a double series I asked about this series form here and the answers there show it is correct and my own answer there shows you can differentiate this back to get a power series for xx x x:
What does it mean for an integral to be convergent? So an improper integral is a limit which is a number Does it make sense to talk about a number being convergent divergent? It's fixed and does not change with respect to the independent variable Moreover, if the improper integral is defined as the value of the limit only if the limit exists, then in cases where limit does not exist, the "
Bessel Function Integral Identity - Mathematics Stack Exchange The above integral is what you should arrive at when you take the Inversion Integral and integrate over the complex plane Having tested its values for x and t, it appears to be consistent with my result
integration - Frullanis integral - Mathematics Stack Exchange You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do I get it? Instead, you can save this post to reference later