- #1
binbagsss
- 1,254
- 11
Homework Statement
part b of below
[/B]
Homework Equations
##(1+x)^{1/2}=1+\frac{1}{2}x-\frac{x^{2}}{8}+...##
The Attempt at a Solution
[/B]
##\int\limits^{\Lambda}_{-\Lambda} \frac{dy}{\sqrt{r^2+y^2}}=log(\lambda+\sqrt{\lambda^2+r^2}) - log(-\lambda+\sqrt{\lambda^2+r^2}) ##
##= log(\lambda(1+\sqrt{1+\frac{r^2}{\lambda^2}}))-log(\lambda(-1+\sqrt{1+\frac{r^2}{\lambda^2}}) )##
## \approx log(\lambda(1+1+\frac{r^2}{2\lambda^2}-\frac{r^4}{8\lambda^4}) )- log(\lambda(\frac{r^2}{2\lambda^2}-\frac{r^4}{8\lambda^4}))##
which is off track... thanks
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