# Integrate the following equation f=exp(m*x) dx where x =[x1 , x2]

1. Sep 23, 2010

### jetzt

Dear

I am trying to integrate the following equation

f=exp(m*x) dx

where x =[x1 , x2] is a vector of variable could you help me please to find the solution when I would like to integrate like this kind of equations.

help appreciated

Best Regards

2. Sep 23, 2010

### CompuChip

Re: integration

So you want to find
$$\int e^{m \vec x} \, \mathrm d\vec x$$
right?

Can you first explain what that notation means?
Usually $\mathrm d\vec x = dx_1 \, \mathrm dx_2$ but what is $e^{m \vec x}$ in this case?

(If everything is properly defined, you'd expect something like $m e^{m \vec x}$ of course)

3. Sep 24, 2010

### jetzt

Re: integration

the x=[x1 x2] is array of variables where x1 and x2 are complex and m is
a constant. so my question how could I integrate the function over an array dx and should I have one or two complex integral ,I think so two may be because we have two variable in the array

thanks for the help

4. Sep 24, 2010

### HallsofIvy

Re: integration

Yes, we understood that. CompuChip's question was "what does $e^{m[x1, x2]}$ mean?" How are you defining e to a vector power? In order for the integral to make sense, e to a vector power, here, must be a vector. Can you give more context for the problem.

(And you would expect something like $e^{m\vec{x}}$ divided by m, not multiplied by m.)

5. Sep 24, 2010

### sachinism

Re: integration

well i guess the question should be moved to the right forum