Integral of (2x-3)/(2x^2-6x+5) (substitution)

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๐Ÿšถ ๐’๐ญ๐ž๐ฉ๐ฌ
00:00 Rewrite expression
00:17 Substitution: u=2x^2-6x+5
00:26 Differentiate in both sides
00:50 Substitute 2x^2-6x+5 and (2x-3)dx
01:05 Rewrite expression
01:13 Integrate 1/u
01:20 Undo substitution: u in terms of x
01:31 Add integration constant +C
01:41 Final answer!

๐Ÿ” ๐€๐ซ๐ž ๐ฒ๐จ๐ฎ ๐ฅ๐จ๐จ๐ค๐ข๐ง๐  ๐Ÿ๐จ๐ซ ๐š ๐ฉ๐š๐ซ๐ญ๐ข๐œ๐ฎ๐ฅ๐š๐ซ ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ? ๐…๐ข๐ง๐ ๐ข๐ญ ๐ฐ๐ข๐ญ๐ก ๐ญ๐ก๐ž ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ ๐ฌ๐ž๐š๐ซ๐œ๐ก๐ž๐ซ:

๐ŸŽ“ ๐‡๐š๐ฏ๐ž ๐ฒ๐จ๐ฎ ๐ฃ๐ฎ๐ฌ๐ญ ๐ฅ๐ž๐š๐ซ๐ง๐ž๐ ๐š๐ง ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ญ๐ข๐จ๐ง ๐ฆ๐ž๐ญ๐ก๐จ๐? ๐…๐ข๐ง๐ ๐ž๐š๐ฌ๐ฒ, ๐ฆ๐ž๐๐ข๐ฎ๐ฆ ๐š๐ง๐ ๐ก๐ข๐ ๐ก ๐ฅ๐ž๐ฏ๐ž๐ฅ ๐ž๐ฑ๐š๐ฆ๐ฉ๐ฅ๐ž๐ฌ ๐ก๐ž๐ซ๐ž:

๐Ÿ‘‹ ๐…๐จ๐ฅ๐ฅ๐จ๐ฐ @๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ๐ฌ๐Ÿ๐จ๐ซ๐ฒ๐จ๐ฎ ๐Ÿ๐จ๐ซ ๐š ๐๐š๐ข๐ฅ๐ฒ ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ! ๐Ÿ˜‰

๐…๐จ๐ฅ๐ฅ๐จ๐ฐ ๐ˆ๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ๐ฌ ๐…๐จ๐ซ๐˜๐จ๐ฎ

๐Ÿ™‹โ€โ™‚๏ธ ๐ƒ๐จ๐ง๐š๐ญ๐ž:

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  2. (2x-3)/(2x^2-6x 5)
  3. integral of (2x-3)/(2x^2-6x 5)
  4. integral (2x-3)/(2x^2-6x 5)
  5. integration of (2x-3)/(2x^2-6x 5)
  6. how to integrate (2x-3)/(2x^2-6x 5)
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๐Ÿ” ๐€๐ซ๐ž ๐ฒ๐จ๐ฎ ๐ฅ๐จ๐จ๐ค๐ข๐ง๐  ๐Ÿ๐จ๐ซ ๐š ๐ฉ๐š๐ซ๐ญ๐ข๐œ๐ฎ๐ฅ๐š๐ซ ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ? ๐…๐ข๐ง๐ ๐ข๐ญ ๐ฐ๐ข๐ญ๐ก ๐ญ๐ก๐ž ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ ๐ฌ๐ž๐š๐ซ๐œ๐ก๐ž๐ซ:


๐ŸŽ“ ๐‡๐š๐ฏ๐ž ๐ฒ๐จ๐ฎ ๐ฃ๐ฎ๐ฌ๐ญ ๐ฅ๐ž๐š๐ซ๐ง๐ž๐ ๐š๐ง ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ญ๐ข๐จ๐ง ๐ฆ๐ž๐ญ๐ก๐จ๐? ๐…๐ข๐ง๐ ๐ž๐š๐ฌ๐ฒ, ๐ฆ๐ž๐๐ข๐ฎ๐ฆ ๐š๐ง๐ ๐ก๐ข๐ ๐ก ๐ฅ๐ž๐ฏ๐ž๐ฅ ๐ž๐ฑ๐š๐ฆ๐ฉ๐ฅ๐ž๐ฌ ๐ก๐ž๐ซ๐ž:


๐Ÿ‘‹ ๐…๐จ๐ฅ๐ฅ๐จ๐ฐ @๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ๐ฌ๐Ÿ๐จ๐ซ๐ฒ๐จ๐ฎ ๐Ÿ๐จ๐ซ ๐š ๐๐š๐ข๐ฅ๐ฒ ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ! ๐Ÿ˜‰

IntegralsForYou
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legend, could you plz tell me what is the G at the end of the solution?

MumeenynY
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Integral of (sinx-cosx)/(sinx+3cosx) from 0 to pi/2. A solution idea?

friedrichfischer
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Muy buen video ยฟPodrรญa resolver la integral de (mx^2 + nx + p)/(qx^2 + rx + t) dx? Serรญa interesante

andywalls
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Podrรญa resolver x^2(5x-4)^1/2 por integraciรณn por partes o solo es posible usar sustitucion?

estebanreyes
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Dude do u have any other channel...bout other maths topic like topology?

sankalpbhatt
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Je pense que le rรฉsultat est comme รงa 1/2 ln|4x^2-12x+10|+c

sousou