(Method 2) Integral of 1/x*(x^2-1) (partial fraction decomposition)

Опубликовано: 23 Август 2026
на канале: Integrals ForYou
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[Method 1] - Integral of 1/x*(x^2-1) - [u=1-1/x^2] -    • (Method 1) Integral of 1/x*(x^2-1) (substi...  
[Method 2] - Integral of 1/x*(x^2-1) - [PFD] -    • (Method 2) Integral of 1/x*(x^2-1) (partia...  

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🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Partial fraction decomposition for 1/x*(x^2-1)
00:30 Find A, B and C
03:52 1/x*(x^2-1) in terms of A, B and C
04:27 Rewrite expression
04:48 Integrate 1/x, 1/(x+1) and 1/(x-1)
05:03 Add integration constant +C
05:15 Final answer!
05:20 See more!

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