$\displaystyle
\int^1_{0}e^{bx} * sqrt(1+2*x^2)dx
$
Does anybody know how to solve the above integral ? I'm quite out of ideas. Thx in advance.
Hello,Originally Posted by opcode
try this:
$\displaystyle \int^1_{0}e^{bx} \cdot \sqrt{1+2*x^2} \cdot \frac{\sqrt{1+2*x^2}}{\sqrt{1+2*x^2}}dx
$
$\displaystyle \int^1_{0} {\left( e^{bx} \cdot \frac{1}{\sqrt{1+2*x^2}}+e^{bx} \cdot \frac{2*x^2}{\sqrt{1+2*x^2}}} \right) dx$
When integrate this: $\displaystyle \frac{1}{\sqrt{1+2*x^2}}$ you'll get an arsinh-function.
I'm in a hurry now. Hope that this hint is of some help for you.
Bye
First of all I want to thank you all for the help. This integral wasn't in my book. It resulted from a curve integral. I made some changes to the parameters and I managed to avoid it. Anyhow it would be interesting to manage to integrate it. But that might even be impossible with the current means. I don't know.