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Weierstrass Substitution -Finding integral of trigonometric functions using Weierstrass Substitution

Calculus

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Weierstrass Substitution -Finding integral of trigonometric functions using Weierstrass Substitution

1 195 просмотров · 1 г. назад
Calculus
10,2 тыс. подписчиков
1 195 просмотров · 1 г. назад
In this video I will show you how to use Weierstrass Substitution to find integral of rational functions of sine and cosine. The Weierstrass substitution (or tangent half-angle substitution) is a method for evaluating integrals, particularly those involving trigonometric functions. It works by transforming trigonometric functions into rational functions, making them easier to integrate. This substitution is based on the half-angle formulas for tangent. The substitution is particularly useful for: Simplifying integrals involving sin⁡θ and cos⁡θ. Transforming integrals of rational functions of trigonometric functions into integrals of rational functions of t.