How do i find integral of this
Welcome to the form.
You look it up in a table or use a CAS.
You will not be able to do it by hand, because there is no closed form in terms of elementary functions.
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.