On 11/30/2014 04:47 PM, Waldek Hebisch wrote:
> Without forcing real expressions we get:
> 
> (4) -> a:=integrate(f,x)  
> 
>    (4)
>                                             +----------+
>         +----------+       +---+            | +---+          +-+
>         | +---+         (2\|- 1  + 2)sin(x)\|\|- 1  - 1  - 2\|2 cos(x)
>        \|\|- 1  - 1 log(----------------------------------------------)
>                                           cos(x) + 1
>      + 
>                                                 +------------+
>           +------------+       +---+            |   +---+          +-+
>           |   +---+         (2\|- 1  - 2)sin(x)\|- \|- 1  - 1  - 2\|2 cos(x)
>        - \|- \|- 1  - 1 log(------------------------------------------------)
>                                                cos(x) + 1
>      + 
>                                                 +------------+
>         +------------+         +---+            |   +---+          +-+
>         |   +---+         (- 2\|- 1  + 2)sin(x)\|- \|- 1  - 1  - 2\|2 cos(x)
>        \|- \|- 1  - 1 log(--------------------------------------------------)
>                                               cos(x) + 1
>      + 
>                                                 +----------+
>           +----------+         +---+            | +---+          +-+
>           | +---+         (- 2\|- 1  - 2)sin(x)\|\|- 1  - 1  - 2\|2 cos(x)
>        - \|\|- 1  - 1 log(------------------------------------------------)
>                                              cos(x) + 1
>   /
>        +-+
>      4\|2
>                                          Type: Union(Expression(Integer),...)
> 
> 
> The problem is that limit code can not handle complex expressions,
> so definite integrals would fail.

Well, I guess, some people would prefer such an expression. Would there
be a way to have an option to "integrate" to allow complex coefficients.
complexIntegrate also returns e^(%I*x) which might be a bit too much.

Ralf


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