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Integration: The Change of Variables Technique (u-Substitution) [fbt]
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This [fbt] video is about using the Change of Variables and u-Substitution techniques to integrate functions in a Calculus course. This video includes examples involving indefinite integrals, definite integrals, functions with Euler's number, square root functions, trigonometric functions, and others. Instruction is delivered by Larry "Mr. Whitt" Whittington of Fort Bend Tutoring. Design, production and lesson plan created by Larry "Mr. Whitt" Whittington. U - Substitution and changing of variables methods are used in Pre-Calculus, Business Calculus, Calculus I, Calculus II, Calculus III, Advanced Calculus, Differential Equations and Physics courses.
[fbt] Timestamps
01:55 [01] ∫2x(x² + 1)² dx
06:05 [02] ∫(3 - x⁴)³x³ dx
10:00 [03] ∫dx/(3x + 5)
12:42 [04] ∫(sinx)/(cos³x) dx
15:34 [05] ∫e^(4√x)/√(x) dx
18:52 [06] ∫x/(x - 21) dx
23:53 [07] ∫⅓(sin5x) dx
27:00 [08] ∫x√(2x - 1) dx
33:18 [09] ₀∫⁴1/√(2x + 1) dx
37:01 [10] ₀∫^(π/2) cos(2x/3) dx
[fbt] Timestamps
01:55 [01] ∫2x(x² + 1)² dx
06:05 [02] ∫(3 - x⁴)³x³ dx
10:00 [03] ∫dx/(3x + 5)
12:42 [04] ∫(sinx)/(cos³x) dx
15:34 [05] ∫e^(4√x)/√(x) dx
18:52 [06] ∫x/(x - 21) dx
23:53 [07] ∫⅓(sin5x) dx
27:00 [08] ∫x√(2x - 1) dx
33:18 [09] ₀∫⁴1/√(2x + 1) dx
37:01 [10] ₀∫^(π/2) cos(2x/3) dx
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