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What is the integral of 1 x? - Mathematics Stack Exchange Answers to the question of the integral of $\frac {1} {x}$ are all based on an implicit assumption that the upper and lower limits of the integral are both positive real numbers
calculus - Finding $\int x^xdx$ - Mathematics Stack Exchange How do you know it's legal to switch the summation and the integral? I know you can do it with finite sums but I thought there were certain conditions under which it invalid to switch them
What does it mean for an integral to be convergent? The noun phrase "improper integral" written as $$ \int_a^\infty f (x) \, dx $$ is well defined If the appropriate limit exists, we attach the property "convergent" to that expression and use the same expression for the limit
How do you find the primitive integral of $\arctan (x)$? I tried searching for how you derive the integral primitive of $\arctan (x)$, but I can't find any question on S E with an answer that clearly explains this I feel that there should be one, since it is rather fundamental knowledge, and it does come up every now and then as part of S E questions