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# Questions tagged [assumptions]

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### Piecewise functions Integration with symbol

I want to integrate one piecewise functions as following, ...
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### Assuming that only the 2nd order terms are zero

I am dealing with first-order perturbative theory, that is, any variable may be decomposed as $a = a + \delta a$ and the same would occur with several different variables, let's say, $b$ and $c$. ...
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### Simplifying using assumptions

Is there a way to simplify the following equation (-p(a-x)((a-b)P(b-x)+Q(b+x)(a-b+2x))+q(a+x)(-(a-b)Q(b+x)+P(b-x)(-a +b+2x)))/((b-x)(-a + x)(a+x)(b+x)) assuming ...
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### How do I declare that a variable represents a real number? [duplicate]

How do I tell Mathematica that a variable is a real number. I searched for this question here and in Google and nothing that was suggested seems to work for me. I must be missing something. My code is ...
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### How to find analytical solution for integral from product of Bessel functions of second kind with different order?

I need help with analytical solution for the following integral: ...
Let's say that $x$ is some real valued number $>0$. Are the following commands interchangeable in the context of using Assuming? ...