1
vote
0answers
296 views

$\int^{\infty}_{0}x^{r +s- 1}(1 + x)^{-s}(1 + x^2)^{-\frac{rm}{2}}dx$

I'm trying to solve the integral $\int^{\infty}_{0}x^{r +s- 1}(1 + x)^{-s}(1 + x^2)^{-\frac{rm}{2}}dx$, where $s$, $r$ and $m$>1 are positive integers. My question is whether a closed form ...
1
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0answers
164 views

maple code for exp-func. for solving PDE's & non-linear ODE's?

How can I create the Maple code using exponential-function solving the equation below? $u_t = \gamma u_x+6u(u_x)^2+(3u^2-1)u_{xx}-u_{xxxx}$ $u_t =u_{xx}-u^3+u,$ $\alpha u''(x) = \beta ...
1
vote
1answer
247 views

Double integral in Maple involving parameters [closed]

$$\int_{0}^{1}\int_{0}^{1-x}(1-x)(1-y)(x+y)x^{n_1}y^{n_2}(1-x-y)^{n_3}\mathrm{d}y\mathrm{d}x$$ I want to calculate above integral in Maple, the parameters $n_1,n_2,n_3$ are all natural numbers. I ...
0
votes
3answers
443 views

Draw 3d double integral in Maple

I have a voluntary hand in I am working on, and in that rigard I need to draw the following figure in Maple. The area $ \displaystyle \iint_R \frac{x}{\sqrt{x^2+y^2}} \mathrm{d}A $ where $R$ is ...
0
votes
2answers
151 views

Integrating with vector coefficients in Maple

I'm trying to use Maple to do something like this integral: $\displaystyle\int \frac{a\mu-b}{||a\mu-b||^3} \mathrm{d}\mu$ Where $a, b$ are vectors and $\mu$ is a scalar I'm integrating by. But I ...
1
vote
1answer
160 views

Having such integral, how to optimize it in maple?

So we have : (1/3)*sig0*h^3*(int(int(sin((1/3)*arctan(y, x)), x = 0 .. r), y = 0 .. 2*Pi)) Is it possible to optimise it? (in maple or any other way...) How I ...
1
vote
1answer
103 views

Maple giving nonsensical value for integral

(I think this question is acceptable for this site.) I ask Maple to evaluate integral(1/(exp(i*t)-z),t,-π,π), and I get [if |z| = 1 then undefined else -(2*π)/z]. I understand the first part, the ...