My integration is weak in mathematics. Can I cope up in B.Tech for CSE?

Dear, Weakness in one branch & strength in other branches of a particular subject is not. And for math it is true also. But the challenge is to convert your weakness into strength. Integration part of Calculus is not so difficult that you can't manage - and you need not to be hesitant for pursuing

Maths as a subject will only be in the first year of engineering so you need not to worry much and go for CSE. Work hard with dedication to get the best results.