Integration of an exponential and algebra

[songoku]

Homework Statement

Please see below

Relevant Equations

integration

$\int \frac{e^x (2-x^2)}{(1-x) \sqrt{1-x^2}} dx$

I tried using substitution x = sin θ but still can not solve it. I guess I have to get rid the term e^x but do not know how

Thanks

 

[scottdave]

Have you tried Wolframalpha or Symbolab.com ?

Looking at the expression inside the integrand, what would be a practical range of x values?

 

[songoku]

Sorry for late reply.

Have you tried Wolframalpha or Symbolab.com ?

Wolframalpha wrote not result found in terms of standard mathematical functions and symbolab wrote no steps: steps are currently not supported for this problem (but not result given)

So this means that the question is not solvable?

Looking at the expression inside the integrand, what would be a practical range of x values?

The domain where the function is defined will be -1 < x < 1. Is this what you mean? I do not understand what the domain has to do with solving the integral.

Thanks

 

[benorin]

I think he means whether there was bounds of integration, if it was a definite integral perhaps there could be a solution you could manage.