Study Methods for Indefinite Integrals

>>9065157
Read the textbook and do practice problems. The material isn't hard.

>>9065162
I'm the average combo of lazy and retarded, but now I have painfully convincing external factors that have made me more hardworking for the time being.

Until my professor stops being senile and I stop being retarded, help is the least I can ask for at this point.

Break the integral up into monotonic (always either increasing or decreasing) sections, and then substitute in +/- infinity for one of the arguments. You take the infinite limit after you perform symbolic integration.

>>9065207
Ehrm we aren't taking an infinite limit here. We rewrite, integrate and then differentiate a function. We're mostly wrestling with antiderivative/derivative rules when integrating.

>>9065207
>>9065232
Whoops. It's been so long since I took introductory calculus that got my terms mixed up. Anyway, fear not, because almost 100% the integration you'll do in your life is numerical rather than symbolic.

>>9065157
Watch and do the MIT integration bee
https://www.youtube.com/watch?v=qQ-56b_LvOw
MIT integration bee is a competition where students (math and physics majors mostly) do "easy", medium and hard questions. The goal is to complete the integrals fastest. It's a really good way to develop your integral skills, and you only need to know calc 1 in order to be able to compete.

>>9065157
NEVER forget the +C (constant of integration)

Integration by parts is the product rule in reverse

Change of variables is the chain rule in reverse

>>9065519
Watched the first 2 contestants. That was embarrassing.

I'm a CS brainlet and I was able to solve those.