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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
- 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 "
- How do I integrate $\\sec(x)$? - Mathematics Stack Exchange
My HW asks me to integrate $\\sin(x)$, $\\cos(x)$, $\\tan(x)$, but when I get to $\\sec(x)$, I'm stuck
- What is the difference between an indefinite integral and an . . .
Using "indefinite integral" to mean "antiderivative" (which is unfortunately common) obscures the fact that integration and anti-differentiation really are different things in general
- 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
- Calculus proof for the area of a circle
0 the integral of r (d (theta)) from 0 to 2π is 2πr (the circumference of a circle with radius r), now integrate 2πr (dr) from 0 to r and the answer is πr^2 (the area of a circle of radius r) This is my derivation
- What is the integral of - Mathematics Stack Exchange
This integral is one I can't solve I have been trying to do it for the last two days, but can't get success I can't do it by parts because the new integral thus formed will be even more difficult to solve I can't find out any substitution that I can make in this integral to make it simpler Please help me solve it Is the problem with my first substitution y = cos x y = cos x or is there
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