|Apr2-03, 10:32 AM||#1|
does the integrate e^(x^2) can solve??
i think is no.....
|Apr2-03, 12:39 PM||#2|
That depends upon exactly what you mean.
Since e^(x^2) is a continuous function, yes, it HAS an integral (anti-derivative). Every continuous function (and many non-continuous functions) is the derivative of some function and therefore has an anti-derivative.
Is that anti-derivative any "elementary function" (defined as polynomials, rational functions, exponentials, logarithms, trig functions and combinations of them)? No, if fact for most functions the anti-derivative is not an elementary function. (There are more functions in heaven and earth than are dreamed of in your philosophy, Horatio!)
Of course one can always DEFINE a new function to do the job. I don't know specifically about e^(x^2) but the ERROR FUNCTION, Erf(x) is defined as an anti-derivative of e^(-x^2).
|Apr7-03, 11:18 AM||#3|
may i ask what is Error Function??
|Apr7-03, 11:55 AM||#4|
google: erf(x) error function
|Similar Threads for: integrate e^(x^2)|
|What is the best way to integrate this??||Calculus||22|
|How do you integrate this??||General Math||6|
|How do I integrate this?||Calculus & Beyond Homework||4|
|how to integrate???||Calculus & Beyond Homework||5|