Question

Evaluate the following integral if it is convergent.

Answer 1

\[\int\limits_0^{\infty}e^{-8x}dx=\lim_{\xi \rightarrow \infty} \int\limits_0^{\xi}e^{-8x}dx=\frac{-1}{8} \lim_{\xi \rightarrow \infty}e^{-8x}|_0^{\xi}=\frac{-1}{8}\lim_{\xi \rightarrow \infty} \left[ e^{-8 \xi}-1\right]=\frac{1}{8}\]

Answer 2

I see, now thanks!

Answer 3

I see now, thanks*

Answer 4

No problem! Post more if you have questions :P

Answer 5

Will do