# Tagged Questions

Concerns all aspects of integration, including the integral definition and computational methods. For questions solely about the properties of integrals, use in conjunction with (indefinite-integral), (definite-integral), (improper-integrals) or another tag(s) that typically describe(s) the types of ...

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### Product Spaces and Integration

I have a True/False Question which I am not sure about. Background: Let (Ω1,Σ1,µ1) and (Ω2,Σ2,µ2) be two probability spaces and define (Ω,Σ,µ) by Ω = Ω1 × Ω2, Σ = Σ1 × Σ2 and µ = µ1 × µ2. Let ...
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### When is the Stieltjes integral of bounded variations?

I was trying to figure out when a Riemann or Lebsgue Stieltjes integral is of bounded variation. For simplicity let $f$ be a increasing RCLL function; when is that $$\int_0^t g(x) df(x)$$ is of ...
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### Weird indefinite integral homework questions

I'm solving a couple of integration problems using the method of changing variables, and would like assistance with two particular problems that I can't seem to solve. I completed rest of the problems ...
Evaluate the integral:$\int_{1}^{2} \frac{\tan^{-1} x}{\tan^{-1} \frac {1}{x^2-3x+3}} dx$ On applying the property $\int_{a}^{b}f(x)dx=\int_{a}^{b}f(a+b-x)dx$ I dont seem to reach any where