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Topic: multiintegral and table
Replies: 1   Last Post: Sep 15, 2013 7:01 AM

 David Park Posts: 1,560 Registered: 5/19/07
Re: multiintegral and table
Posted: Sep 15, 2013 7:01 AM

I don't know if your example is a simplified version of something more
general. In any case you can simplify things before you get to the plotting.
Specifically you can evaluate the integrals and arrive at a simple
expression that you can plot with the much easier Plot statement.

f1 = Integrate[2*y + x^2, {x, 0, 1}, {y, 0, x}]
7/12

f2[q_] = Integrate[2*y + x^2*q, {x, 0, 1}, {y, 0, x}]
1/3 + q/4

ftotal[q_] = f1 + f2[q]
11/12 + q/4

Plot[ftotal[q], {q, 0, 10}]

David Park
djmpark@comcast.net
http://home.comcast.net/~djmpark/index.html

Dear all,

I have a function

f_1 [x_,y_] = Integrate[2*y + x^2, {x,0,1},{y,0,x}]

f_2 [x_,y_,Q_] = Integrate[2*y +x^2*Q, {x,0,1},{y,0,x}]

f_total [x_,y_,Q_] = f_1[x,y] + f_2[x,y,Q]

Then I want to plot the f total using table with Q start from 0 to 10 with
increment 0.0025.

I have defined by

dataxx = Table[{Q,f_total[x,y,Q]}, {Q, 0,10, 0.0025}]

And Plot the data on the table by

ListPlot[dataxx]

But when I evaluate the function, it took a long time and the plot is not
yielded. Could anyone help me please to find the bug? I really appreciate
for help.

Thanks,
PTPH