- 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 "
- Improper integral of sin (x) x from zero to infinity [duplicate]
I was having trouble with the following integral: ∫∞ 0 sin(x) x dx ∫ 0 ∞ sin (x) x d x My question is, how does one go about evaluating this, since its existence seems fairly intuitive, while its solution, at least to me, does not seem particularly obvious
- 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
- Really advanced techniques of integration (definite or indefinite)
Okay, so everyone knows the usual methods of solving integrals, namely u-substitution, integration by parts, partial fractions, trig substitutions, and reduction formulas But what else is there? E
- How to calculate the integral in normal distribution?
40 There are several methods to approach this, but I am going to use one that meets your requirement (clarified in a comment) that one must forego the use of computational engines like Mathematica, instead opting for a calculator Additionally, I feel that using a table of normal distribution values is cheating, so I will be foregoing their use as well
- Integral of $\\sqrt{1-x^2}$ using integration by parts
14 I was asked to solve this indefinite integral using Integration by parts ∫ 1 −x2− −−−−√ dx ∫ 1 x 2 d x I know how to solve if use the substitution x = sin(t) x = sin (t) but I'm looking for the Integration by parts way any help would be very appreciated
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