It's just another skill, it can help and make certain things go much faster if you are good at mental math, but in the end the only thing that matters is your understanding of the operations you are doing in either your head, or your calculator.
I am unsure how the traditional Calculus course is, but I took a slightly altered one at a technical institute, and we spent quite a bit of time learning the methods computers use to calculate integrals. I think it is safe to say that as long as I understand these methods and remember them, I am at no disability to use a computer, rather then solving integrals on paper.
I am unsure how the traditional Calculus course is, but I took a slightly altered one at a technical institute, and we spent quite a bit of time learning the methods computers use to calculate integrals. I think it is safe to say that as long as I understand these methods and remember them, I am at no disability to use a computer, rather then solving integrals on paper.