So anyways, I'm a current high school senior right now, taking Calc BC. I'm hoping to major in a math-related field (mathematics, physics, or electrical engineering) when I get to college. Consequently I'm looking to transfer my credits from Calc BC (I'm fairly certain I can get a 5 on the test) so that I'll be taking Multivariable Calc freshman year in college.

However, here is where my dilemma lies. Looking at a typical Calc 2 syllabus, I see some topics not covered in my BC class, mostly dealing with further integration techniques. Also my teacher is the "minimalist" type of guy, he just teaches the bare essentials to score well on the AP test and skipping over the ones he feels that "is not going to be on the test".

My question I guess would be if transfering my BC credit would be a smart choice, or should I take Calculus 2 again in college?