Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.

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Solving an Integral Equation Numerically

I have been trying to solve the integral equation below, but cant seem to find a way out of this. Can someone please help me out with suggestion? $f(t)=\int_0^{\infty}\frac{K_1a(t)}{a(t)+K_2}\,dt$ ...
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About generating power series

For an arbitrary function $f(x,y)$ I am defining functions LogMT1 and LogMT2 as follows, ...
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How to evaluate an integral involving normal distribution

I want to compute the following integral, in which 5 can be replaced by any natural number. But I found Mathematica keep running forever and cannot evaluate it. I want to ask for some help. ...