Hi all. I just started calc 2 at the beginning of the spring semester. I flew through calc I, and I think I understand all the topics we've learned so far in calc 2 (parts, trig identities/trig sub, and partial fractions). I have trouble when I get to a problem that doesn't seem to follow any of those methods though.
For example, I look at
with confusion. Are there any tips for approaching a problem such as this? I feel like a trig sub should work, but I can't seem to simplify it down right. Other problems with square and cube roots also give me trouble. In short, I can do a problem if it follows the guidelines for the methods I've learned so far, but I have a lot of trouble if I have to modify the problem in some way to make it look like a different problem that I can work with. I'm wondering if my algebra skills are behind or if I'm just looking at these problems the wrong way. Any information is appreciated. Thank you.