Crazyirishman wrote:Crazyirishman wrote:AoG is there a lazy-persons way to do partial fraction decompositions and integration involving centroids?
And trigonometric substitutions into integrals. I'm not allowed to use my calculator in this class so I actually have to start paying attention in Calc 2.
Trig subs are really easy, you just have to remember which one to use. In my class last semester all our tests were open book, so I dog-eared the page with the chart. It pretty much just comes down to simplifying the x^2+/-a^2 or a^2-x^2 under the square root to a^2(trig function)^2, which cancels out to just a*trig function, multiplied by the d/dx of your substitution of course. But there isn't a simpler way that I know of, that way is pretty short anyway.