Request a call back

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

CBSE Class 12-science Answered

Evaluate   integral left parenthesis space sin x minus x cos x right parenthesis space d x space divided by space x space left parenthesis x plus sin x right parenthesis
Asked by ahuja8087 | 29 Jan, 2017, 10:56: PM
answered-by-expert Expert Answer
begin mathsize 16px style L e t space I equals integral fraction numerator sinx minus xcosx over denominator straight x left parenthesis straight x plus sinx right parenthesis end fraction dx
space straight I equals integral fraction numerator sinx plus straight x minus straight x minus xcosx over denominator straight x left parenthesis straight x plus sinx right parenthesis end fraction dx
space straight I equals integral fraction numerator left parenthesis sinx plus straight x right parenthesis minus left parenthesis straight x plus xcosx right parenthesis over denominator straight x left parenthesis straight x plus sinx right parenthesis end fraction dx
space straight I equals integral open square brackets 1 over straight x minus fraction numerator left parenthesis straight x plus xcosx right parenthesis over denominator straight x left parenthesis straight x plus sinx right parenthesis end fraction close square brackets dx
space straight I equals integral 1 over straight x dx minus integral fraction numerator left parenthesis straight x plus xcosx right parenthesis over denominator straight x left parenthesis straight x plus sinx right parenthesis end fraction dx
space straight I equals ln open vertical bar straight x close vertical bar minus integral fraction numerator 1 plus cosx over denominator straight x plus sinx end fraction dx
Let space straight x plus sinx space equals space straight t rightwards double arrow left parenthesis 1 plus cosx right parenthesis space dx space equals space dt
So comma space straight I equals ln open vertical bar straight x close vertical bar minus integral dt over straight t
rightwards double arrow straight I equals ln open vertical bar straight x close vertical bar minus ln open vertical bar straight t close vertical bar plus straight C
rightwards double arrow straight I equals ln open vertical bar straight x close vertical bar minus ln open vertical bar straight x plus sinx close vertical bar plus straight C

end style
Answered by Rebecca Fernandes | 30 Jan, 2017, 09:56: AM
CBSE 12-science - Maths
Asked by Ketoli | 07 Nov, 2019, 07:43: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by haroonrashidgkp | 02 Nov, 2018, 09:45: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 30 Oct, 2016, 02:30: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 30 Oct, 2016, 02:39: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 30 Oct, 2016, 02:55: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×