Integral of a/(b+ce^x) (substitution)

Опубликовано: 11 Октябрь 2024
на канале: Integrals ForYou
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🚶 𝐒𝐭𝐞𝐩𝐬
00:00 Take out the constant "a" and multiply by e^-x/e^-x
00:17 Rewrite expression
00:30 Substitution: u = be^-x + c
00:39 Differentiate in both sides
00:53 Substitute be^-x + c and (e^-x)dx
01:11 Rewrite expression
01:19 Integrate 1/u
01:25 Undo substitution: u in terms of x
01:40 Add integration constant +C
01:47 Final answer!
01:53 See more!

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