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Questions related to various forms of integration including the Riemann integral, Lebesgue integral, Riemann–Stieltjes integral, double integrals, line integrals, contour integrals, surface integrals, integrals of differential forms, ...
0
votes
1
answer
64
views
Laplace transforms of fractional equation
is there a finite expression of the Laplace transforms of the function
\begin{align}
L\left[ {\frac{{{x^n}}}{{{{(1 + x)}^m}}}} \right]\quad n \ge m
\end{align}
0
votes
1
answer
128
views
integral of fractional function
Let $a>2$ be a real variable. My objective is to find an approximation of the integral defined as
\begin{equation}
\int_b^{ + \infty } {\frac{x}{{1 + {x^a}}}}.
\end{equation}
Here $b$ is a positive r …
0
votes
0
answers
71
views
Integration of fractional function over Rice distribution
Let $a>2$ be a real variable. My objective is to find an approximation of the integral defined as
\begin{equation}
\int_0^{\infty } {\frac{1}{{1 + {x^a}}}} f\left( {x|y} \right)\, dx
\end{equation}
H …