Ask a Doubt
Request a call back

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

CBSE Class 12-science Answered

How to integrate (3sinx-2)cosx divide by (9+16sin2x)?
Asked by sasikala106 | 20 Mar, 2018, 10:55: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator left parenthesis 3 sinx minus 2 right parenthesis cosxdx over denominator 9 plus 16 sin squared straight x end fraction Put space sinx equals straight t cosxdx equals dt straight I equals integral fraction numerator open parentheses 3 straight t minus 2 close parentheses begin display style dt end style over denominator 9 plus 16 straight t squared end fraction straight I equals integral open parentheses fraction numerator 3 straight t over denominator 9 plus 16 straight t squared end fraction minus fraction numerator 2 over denominator 9 plus 16 straight t squared end fraction close parentheses dt straight I equals integral open square brackets 3 over 32 cross times fraction numerator 32 straight t over denominator 9 plus 16 straight t squared end fraction minus 2 open parentheses fraction numerator 1 over denominator 9 plus 16 straight t squared end fraction close parentheses close square brackets dt straight I equals fraction numerator begin display style 3 end style over denominator begin display style 32 end style end fraction cross times log open vertical bar 9 plus 16 straight t squared close vertical bar minus 2 cross times 1 third cross times 1 fourth tan to the power of negative 1 end exponent open parentheses fraction numerator 4 straight t over denominator 3 end fraction close parentheses plus straight c straight I equals fraction numerator begin display style 3 end style over denominator begin display style 32 end style end fraction cross times log open vertical bar 9 plus 16 sin squared straight x close vertical bar minus 1 over 6 tan to the power of negative 1 end exponent open parentheses fraction numerator 4 sinx over denominator 3 end fraction close parentheses plus straight c end style
Answered by Sneha shidid | 21 Mar, 2018, 09:22: AM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 12-science - Maths
evaluate
question image
Asked by aalavarshitha2005 | 21 Jan, 2024, 05:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Integration of
question image
Asked by atharvaparkar04 | 17 Dec, 2023, 12:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
integrate 1/cotx-sinx
Asked by shashinayaka032 | 05 Dec, 2023, 12:46: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
integrate under root a^2 - x^2 dx =
Asked by manasvichandel49 | 19 Oct, 2023, 08:53: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
t
question image
Asked by tanuspatel5 | 08 Oct, 2023, 01:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
integration tan²xsec⁴xdx
Asked by diptiranigupta1981 | 02 Oct, 2023, 06:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Solve it pls.
question image
Asked by sdmbotch1123 | 30 Sep, 2023, 10:54: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
do it pls
question image
Asked by sdmbotch1123 | 16 Jan, 2023, 08:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
3fdec841.33c44f72a33c022aecbo43e58.jpg
question image
Asked by devilkano80 | 07 Jul, 2022, 01:45: PM
ANSWERED BY EXPERT 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 ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×