I am going to build a website. Major purpose is to collect survey information from our users. However, I want to conduct the surveys from our domain. How can I integrate our domain with limesurvey? Is it possible to install limesurvey on wordpress or drupal? what all options I have to achieve this?

Yes, you can use "iframe" .
Joffm

Thanks for the answer ! Instead of having the individual surveys integrated, can I have the entire survey designing process of LimeSurvey done within my domain?

Exactly the same.

Instead of including the url of the survey you include the url of your LS installation.

Joffm