Question and Answers Forum

All Questions      Topic List

Integration Questions

Previous in All Question      Next in All Question      

Previous in Integration      Next in Integration      

Question Number 171565 by Tawa11 last updated on 17/Jun/22

Commented by infinityaction last updated on 17/Jun/22

    p  =  ((x+1)/(x−1))   then   (1/p)  =  ((x−1)/(x+1))        (p^2  +  (1/p^2 )  −2)^(1/2) =  (p−(1/p))^2         ∫_(−(1/( (√2)))) ^(1/( (√2))) {(((x−1)/(x+1)) − ((x+1)/(x−1)))^2 }^(1/2) dx        ∫_(−(1/( (√2)))) ^(1/( (√2))) {(((x^2 −2x+1−x^2 −2x−1)/(x^2 −1)))^2 }^(1/2) dx        ∫_(−(1/( (√2)))) ^(1/(√2))  {(((4x)/(1−x^2 )))^2 }^(1/2) dx        ∫_(−(1/( (√2)))) ^(1/(√2))  ∣((4x)/(1−x^2 ))∣dx       ∫_(−(1/( (√2)))) ^0 −((4x)/(1−x^2 ))dx + ∫_0 ^(1/(√2)) ((4x)/(1−x^2 ))dx   now complete

p=x+1x1then1p=x1x+1(p2+1p22)1/2=(p1p)21212{(x1x+1x+1x1)2}1/2dx1212{(x22x+1x22x1x21)2}1/2dx121/2{(4x1x2)2}1/2dx121/24x1x2dx1204x1x2dx+01/24x1x2dxnowcomplete

Commented by immortels last updated on 18/Jun/22

il y′a une erreur

ilyauneerreur

Commented by infinityaction last updated on 18/Jun/22

where

where

Commented by immortels last updated on 19/Jun/22

      (p^2  +  (1/p^2 )  −2)^(1/2) =  (p−(1/p))^2  ici ca dvient juste  (p−(1/p)) verifie mais apres c.,′est bon

(p2+1p22)1/2=(p1p)2icicadvientjuste(p1p)verifiemaisapresc.,estbon

Terms of Service

Privacy Policy

Contact: info@tinkutara.com