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15 gru 2022 · Timestamps00:00 – Intro 00:13 – Lecture 03:58 – Trig Substitution Problems 45:46 – Special Integration Formulas 55:49 – Outro
What is trigonometric substitution? The simple answer: it's a technique for integrating functions that contain square roots or radicals. We go through everyt...
Calculus of Logarithmic and Exponential Function, Techniques for Solving Integrals, Series, and Calculus with Polar Coordinates.
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.
Learn integration methods including by parts, trigonometric substitution, and partial fractions. Study differential equations, sequence convergence, and various series tests. Delve into power series, Taylor and Maclaurin series, parametric equations, and polar coordinates.
Introduction to Trigonometric Substitution | Calculus II. In this section, we explore integrals containing expressions of the form [latex]\sqrt { {a}^ {2}- {x}^ {2}} [/latex], [latex]\sqrt { {a}^ {2}+ {x}^ {2}} [/latex], and [latex]\sqrt { {x}^ {2}- {a}^ {2}} [/latex], where the values of [latex]a [/latex] are positive.
Integration Techniques. Trigonometric Substitutions In Integrals. Related calculator: Integral Calculator. Trigonometric Substitutions are especially useful when we want to get rid of $$$ \sqrt { { { {x}}^ { {2}}- { {a}}^ { {2}}}} $$$, $$$ \sqrt { { { {x}}^ { {2}}+ { {a}}^ { {2}}}} $$$ and $$$ \sqrt { { { {a}}^ { {2}}- { {x}}^ { {2 ...
