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Use-the-integration-by-parts-2-r-2-4-dr-




Question Number 212467 by Hanuda354 last updated on 14/Oct/24
Use  the  integration  by  parts.    ∫ (2/( (√(r^2 −4)))) dr
Usetheintegrationbyparts.2r24dr
Answered by mehdee7396 last updated on 14/Oct/24
r=2coshx⇒dr=2sinhxdx  ⇒I=∫((4sinhxdx)/(2(√(cosh^2 x−1))))=2∫dx=2x+c  =2coh^(−1) (r/2)+c=2ln(r+(√(r^2 −4)))+c′ ✓
r=2coshxdr=2sinhxdxI=4sinhxdx2cosh2x1=2dx=2x+c=2coh1r2+c=2ln(r+r24)+c
Commented by Frix last updated on 14/Oct/24
Yes but it says “use the integration by parts”
Yesbutitsaysusetheintegrationbyparts

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