Simple integral solved with must know basic techniques

(Mis-419) Integrate 1/(2 - cos u)du from 0 to π
#calculus #definite_integrals #properties #algebraic #manipulation #cipher
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[@alelcruk]

Nice integral! You can also apply Weierstrass substitution and make it a 4 steps integral.

[@cipherunity]

Yes that substitution can be used.

[@stas-xxx]

Я решил другим способом, в знаменателе можно добавить и вычесть 1,получаем 1/(3-1-cos x) Далее заменяем по формуле cos x/2^2 = (1+cos x) /2 и выносим cos x/2^2 за скобки, получаем 1/cos x/2^2(3/cosx/2^2-2) . Далее заменяем x/2 =u и t=tgu и решаем стандартным способом, ответ получается идентичный!

[@cipherunity]

Это лучший подход

[@chancia8990]

@@cipherunity you speak russian?!

[@cipherunity]

@@chancia8990 No google does

[@stas-xxx]

Google Translate at your service 😂

[@stas-xxx]

​@@cipherunitycontroversial point isn't it? 🤝

[@chancia8990]

why add suspension music for an easy integral?

[@cipherunity]

Duration of the video decides the music.