whats the derivative and integral of e^(x^2)??

0 ⤊

whats the derivative and integral of e^(x^2)??

2007-05-21 17:49:32 · 3 answers · asked by the craftsman 1 in Science & Mathematics ➔ Mathematics

3 answers

e^(x^2)

2007-05-21 17:53:47 · answer #1 · answered by bruinfan 7 · 0⤊ 0⤋

Derivative = 2xe^(x^2)
Integral = [e^(x^2)]/2x + C

Edit: Was brought to my attention that the integral is wrong. There is a special function for the integral of e^(x^2)

You can read more about it through this link:
http://www.physicsforums.com/showthread.php?t=103752

2007-05-22 00:56:06 · answer #2 · answered by Anonymous · 0⤊ 0⤋

The derivative is 2xe^(x^2) - chain rule

The integral is (sqrt(pi)/2) * erfc(x) - see a book on probability theory

2007-05-22 00:56:41 · answer #3 · answered by Anonymous · 0⤊ 0⤋