Integration by Partial Fractions
Calculus 2 thus far has been, in a nutshell, “I know how to integrate these, that, and those, but I don’t yet know how to integrate this – so let’s learn how.” Then, through each successive unit or lesson, I…
Category Math Notebook
A structured record of my self-study in mathematics, including study logs, problem walkthroughs, deeper explorations and reflections, and preparation for advanced coursework.
Truant Trig Sub
I should have posted weeks ago. My host blocked my IP address, as apparently I’ve been located in a region flagged for fraudulent activity. Consequently, anyone using Telkomsel as an internet provider (Indonesia’s largest) in the Yogyakarta region (4.5 million…
Techniques for Trig Integrals & Pissing Me Off
I don’t think I’m alone in harboring ill-feelings toward trig functions, particularly as they apply to integration. Don’t get me wrong, I understand the importance of trig. But I find Calculus at its most enervating when trig is involved. The…
Integration by Parts & More Tricks for My Bag
Integration by Parts (IDP) is a means of integration products of functions that can’t be solved through simple antiderivation or u-substitution. We use it to simplify said product into something that’s easier to integrate. The formula for integration by parts…
L’Hopital’s Rule; Bernoulli’s Inspires
L’Hospital’s Rule allows for the evaluation of the limits of fractions that reduce to indeterminate forms, i.e. these: Essentially, we can solve these limits by dividing the derivatives of the numerator by the derivative of the denominator. For a layman…
d/dt Excellence(t)
Welcome to my first ever blog. I never imagined I’d start a blog. I have mostly viewed personal blogs, such as this, as self-aggrandizing, even narcissistic. Why should other people read my reports of what I’m doing? If what I’m…