Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

integrate dx/x(6(logx) ^2 +7logx +2)
Asked by sidhusoni115 | 03 Oct, 2020, 08:08: AM
Expert Answer
TO integrate dx/x(6(log x)2 + 7 logx + 2)
straight I equals integral fraction numerator dx over denominator straight x open square brackets 6 open parentheses logx close parentheses squared plus 7 logx plus 2 close square brackets end fraction Take space logx equals straight y rightwards double arrow straight x equals straight e to the power of straight y rightwards double arrow dx equals straight e to the power of straight y dy rightwards double arrow straight I equals integral fraction numerator straight e to the power of straight y dy over denominator straight e to the power of straight y open square brackets 6 straight y squared plus 7 straight y plus 2 close square brackets end fraction equals integral fraction numerator dy over denominator open square brackets 6 straight y squared plus 7 straight y plus 2 close square brackets end fraction equals integral fraction numerator dy over denominator open parentheses 3 straight y plus 2 close parentheses open parentheses 2 straight y plus 1 close parentheses end fraction rightwards double arrow straight I equals integral open square brackets fraction numerator 2 over denominator 2 straight y plus 1 end fraction minus fraction numerator 3 over denominator 3 straight y plus 2 end fraction close square brackets dy equals integral fraction numerator 2 over denominator 2 straight y plus 1 end fraction dy minus integral fraction numerator 3 over denominator 3 straight y plus 2 end fraction dy rightwards double arrow straight I equals log open parentheses 2 straight y plus 1 close parentheses minus log open parentheses 3 straight y plus 2 close parentheses rightwards double arrow straight I equals log open parentheses 2 logx plus 1 close parentheses minus log open parentheses 3 logx plus 2 close parentheses Hence comma space integral fraction numerator dx over denominator straight x open square brackets 6 open parentheses logx close parentheses squared plus 7 logx plus 2 close square brackets end fraction equals log open parentheses 2 logx plus 1 close parentheses minus log open parentheses 3 logx plus 2 close parentheses equals log open parentheses fraction numerator 2 logx plus 1 over denominator 3 logx plus 2 end fraction close parentheses
Answered by Renu Varma | 05 Oct, 2020, 10:55: AM

Concept Videos

Multiple Choice Questions Practice Test Subjective Questions Webinar Subjective Questions Pre Board Assessment
Answered Unanswered My Questions My Answers
CBSE 12-science - Maths
do it pls
Asked by sdmbotch1123 | 16 Jan, 2023, 08:18: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
3fdec841.33c44f72a33c022aecbo43e58.jpg
Asked by devilkano80 | 07 Jul, 2022, 01:45: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
integral fraction numerator sin x times cos x over denominator square root of 1 plus sin squared end root x end fraction d x
Asked by Prajapatiraj770 | 09 Jun, 2021, 09:25: AM
ANSWERED BY EXPERT
CBSE 12-science - Maths
integrate dx/x(6(logx) ^2 +7logx +2)
Asked by sidhusoni115 | 03 Oct, 2020, 08:08: AM
ANSWERED BY EXPERT
CBSE 12-science - Maths
x/(x+4)^-1/2 integration
Asked by tushantyadav63224 | 30 Aug, 2020, 09:43: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
solution of
Asked by dk20062000shaurya | 13 May, 2020, 11:30: AM
ANSWERED BY EXPERT
CBSE 12-science - Maths
integral space c o t space x space square root of cos e c space x space end root space d x
Asked by keshavvbhutraa | 20 Apr, 2020, 04:26: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Integrate cosx/4+5sinx
Asked by Harmanjaura462003 | 25 Sep, 2019, 04:35: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Solve the problem in photo showing each step clearly 
Asked by Vidushi412 | 28 Aug, 2019, 09:41: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
i n t e g r a t e space integral sin to the power of negative 1 end exponent square root of fraction numerator x over denominator a plus x end fraction space end root space d x
Asked by manish.kkd4 | 20 Feb, 2019, 12:15: PM
ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt