Question Number 179853 by AKSHAYTHAKUR last updated on 03/Nov/22

∫((xdx)/((x−1)(x−2)))

Commented byCElcedricjunior last updated on 04/Nov/22

∫ ((xdx)/((x−1)(x−2)))=∫[(1/(x−2))+(1/((x−1)(x−2)))]dx =ln∣x−2∣+∫[−(1/(x−1))+(1/(x−2))]dx =ln∣x−2∣−ln∣x−1∣+ln∣x−1∣ =ln∣(((x−2)^2 )/(x−1))∣+cste =>∫((xdx)/((x−1)(x−2)))=ln∣(((x−2)^2 )/(x−1))∣+cste ..............le celebre cedric junior........

Commented byFrix last updated on 04/Nov/22

ln a −ln b =ln (a/b) ≠ ((ln a)/(ln b)) your answer is wrong

Answered by Frix last updated on 03/Nov/22

∫(x/((x−1)(x−2)))dx=∫((2/(x−2))−(1/(x−1)))dx= =2ln ∣x−2∣ −ln ∣x−1∣ +C

Commented byAKSHAYTHAKUR last updated on 09/Nov/22

thankyou ser