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16 paź 2023 · This is now a fairly obvious trig substitution (hopefully). The quantity under the root looks almost exactly like \(1 + {\tan ^2}\theta \) and so we can use a tangent substitution. Here is that work.
- Assignment Problems
Here is a set of assignement problems (for use by...
- Assignment Problems
15 gru 2022 · Timestamps00:00 – Intro 00:13 – Lecture 03:58 – Trig Substitution Problems 45:46 – Special Integration Formulas 55:49 – Outro
In this calculus 2 tutorial, we will go over 4 examples on how to use the sine substitution to solve integrals. Use the time stamps below to help you navigat...
What is trigonometric substitution? The simple answer: it's a technique for integrating functions that contain square roots or radicals. We go through everyt...
Dive deep into the world of advanced calculus with this comprehensive lecture on integrals by trigonometric substitution. Learn how to tackle complex integration problems using trigonometric functions as substitutes, a powerful technique that expands your problem-solving toolkit.
Calculate $$$ \int\frac{{1}}{{{{x}}^{{2}}\sqrt{{{4}-{{x}}^{{2}}}}}{d}{x} $$$. We will need substitution 2 here: $$$ {x}={2}{\sin{{\left({u}\right)}}} $$$ then $$$ {d}{x}={2}{\cos{{\left({u}\right)}}}{d}{u} $$$ and integral can be rewritten as:
22 sty 2020 · Gain confidence in calculus! Our guide on trig substitution simplifies complex integrals into manageable expressions.
