Integrating Trig functions (Namely tan^{2}x) I know that \int \tan^{2}x dx= \int \sec^{2}x-1\ dx = \tan x - x + C but i don't completely understand how this is derived. Because of this lack of comprehension, I have no idea what to do with \int \sec^{4}5x\ dx. I...
Integrating inverse trig functions I was working on this problem \int{\frac{x^3}{x^{2}+1}}dx I at first tried to use one of the inverse trig functions but couldn't get the form to match...should I try to use log properties...making the denominaor u and trying to get the nu...
CurvesFunctionsIntegrating Replies: 5 Forum:Calculus and Beyond Homework Help MHBB.2.1.4 trig w/ integrating factor $\begin{array}{rl} \textit{Find } \mu(x): &\mu(x) =\exp\left(\int \dfrac{1}{x}\,dx\right)=e^{\ln{x}}=x\\ \textit{multiply thru by x} &xy^\prime+y=3x\co...
Integrating trig powers, why not by parts? Homework Statement Please help me understand the reason for substituting various trig identities into trig functions with powers instead of integration by parts. Does integration by parts not work on trig functions with powers, or is it just so much work...