Problem with integral

[Stevetuc]

(12-14-2019 07:53 AM)Carsen Wrote:  I think the simplify command did a fine job. Since their was trig used in the answer of integral of e^(-t)*e^((-(i))*t), it probably attempted to keep the trig in the solution.

If the command trig2exp is used before simplify, it returns the answer in the same form as the first integral, which is...

Code:


((-1+i)*e^((-1-i)*τ/2)+(1-i)*e^((1+i)*τ/2))/2

I disagree. Even if the solution mixes trig and exponent forms, its the case that both the problem and the solution can be expressed in exponent or trig form. I think its reasonable to expect the Maximum Simplification option to handle this, rather than the user having to manually enter simplify(trig2exp...

Wolfram provides identical results for both forms