(Math - Calculus): "SOME INTEGRAL FORMULAS"

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Hello all. My name is Faisal Hanafi Harahap. I live in Medan, North Sumatera, Indonesia. I am a Math student in North Sumatera University (Universitas Sumatera Utara(USU)).

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This is my third post in this community. I want to share about "SOME INTEGRAL FORMULAS".

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  1. ∫u dv = uv - ∫v du
  2. ∫u^n du = (1/(n+1))u^(n+1) + C, n ≠ -1
  3. ∫(1/u) du = ln|u| + C
  4. ∫e^u du = e^u + C
  5. ∫a^u du = ((a^u)/ln a) + C
  6. ∫sin u du = -cos u + C
  7. ∫cos u du = sin u + C
  8. ∫sec^2 u du = tan u + C
  9. ∫csc^2 u du = -cot u + C
  10. ∫sec u • tan u du = sec u + C
  11. ∫csc u • cot u du = - csc u + C
  12. ∫tan u du = -ln|cos u| + C
  13. ∫cot u du = ln|sin u| + C
  14. ∫sec u du = ln|sec u + tan u| + C
  15. ∫csc u du = ln|csc u - cot u| + C

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Reference/Source: Calculus Ninth Edition by Varberg, Purcell, and Rigdon.

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Okay guys, that's all I want to share with all of you at this time. What do you think? Correct me if I'm wrong. Please give your feedback in the comments column. Thank you for seeing this post, see my other posts too😉😉...

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(Edited)

Hi. Is it possible you could add some explanation to your post? It's just a list you've copied from a book!

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But indeed the goal is to provide a formula for convenience. Look at the title! "Some Integral Formulas". 😒😒😒😒😑😑😑😑😑😑 If you want to see with an explanation, it's in my other post, with the title (with proof)

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