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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
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
Indefinite double integral - Mathematics Stack Exchange In calculus we've been introduced first with indefinite integral, then with the definite one Then we've been introduced with the concept of double (definite) integral and multiple (definite) integ
definite integral of $x^2e^ {-x^2}$ - Mathematics Stack Exchange 2 I am trying to calculate the integral of this form: $\int_ {-\infty}^ {+\infty}e^ {-x^2}\cdot x^2dx$ I am stuck I know the result, but I'd like to know the solution step-by-step, because, as some great mind said, you should check for yourself Any ideas on how to solve this? Maybe somebody knows a tricky substitution?
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