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- What does the dx mean in an integral? [duplicate]
I know dy dx for example means "derivative of y with respect to x," but there's another context that confuses me You will generally just see a dx term sitting at the end of an integral equation an
- 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 is the difference between an indefinite integral and an . . .
Wolfram Mathworld says that an indefinite integral is "also called an antiderivative" This MIT page says, "The more common name for the antiderivative is the indefinite integral " One is free to define terms as you like, but it looks like at least some (and possibly most) credible sources define them to be exactly the same thing
- Newest integration Questions - Mathematics Stack Exchange
For questions about the properties of integrals Use in conjunction with (indefinite-integral), (definite-integral), (improper-integrals) or another tag (s) that describe the type of integral being considered This tag often goes along with the (calculus) tag
- 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
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