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
What is the integral of $e^{-x^2 2}$ over $\\mathbb{R}$ What is the integral of $$\int_ {-\infty}^ {\infty}e^ {-x^2 2}dx\,?$$ My working is here: = $-e^ (-1 2x^2) x$ from negative infinity to infinity What is the value of this?
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