Need to find as much info as possible one the above integral. I have to write a 500 word essay on anything related to it such as history, people involved in solving it, how to solve, etc. I was told by a professor that it caused a new type of calculus to be formed. Any info would be useful.
2006-06-13 16:18:56 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
It's e^x^2 + C, but i don't know what other calculus it could have formed. Try searching for the History of Integrations?
2006-06-13 16:44:17 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Recheck the problem. Are you sure it isn't e^(-x^2)? That would make a lot more sense (as it is the graph of the bell curve and used in statistics).
If I am right, then there is a trick to solving it. You have to multiply it by itself -- only using y^2 in the second expression. SInce they are independent variables, you can bring the second term inside, forming a double integral. Then you have to change to polar coordinates to solve it -- and then take the square root.
It is quite clever -- but I don't know who solved it first. My guess would be Gauss or Euler.
2006-06-13 17:24:30 · answer #2 · answered by Ranto 7 · 0⤊ 0⤋
I think one way to solve it is by transformation into cylindrical coordinates or polar coordinates. Learned it in Calc3, but don't remember the details.
2006-06-13 16:24:41 · answer #3 · answered by coffeecoke 2 · 0⤊ 0⤋
I'm so rusty on my calc, but I thought the integral of e to whatever was just e to whatever?
2006-06-13 16:24:01 · answer #4 · answered by Bean 3 · 0⤊ 0⤋