- #1
hofer
- 3
- 0
Homework Statement
After some work, I have come across an integral, and I have no idea how to develop it.
Homework Equations
The integral is: [tex]\int_{0}^{1}{e^{(at + bt^2 + ct^3 + dt^4 + et^5 + ft^6 + gt^7)}dt}[/tex]
a, b, c, d, e, f, g are real constants.
The Attempt at a Solution
A friend told me to look into the gaussian error function, but I don't think it applies here. A wikipedia entry about Higher-order polynomials (http://en.wikipedia.org/wiki/Gaussian_integral#Higher-order_polynomials) says that it could be integrated using series, but only if the integration interval is between [tex]-\infty[/tex] and [tex]\infty[/tex].
Any help or clues about integrating it? Thank you.