Request a call back

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

CBSE Class 12-science Answered

Integrate.    x arcsinx dx

Asked by Harsh | 25 Jul, 2019, 07:02: AM
Expert Answer
begin mathsize 16px style straight I equals integral xsin to the power of negative 1 end exponent xdx
straight I equals integral sin to the power of negative 1 end exponent straight x space cross times xdx
straight I equals sin to the power of negative 1 end exponent straight x integral xdx minus integral open parentheses fraction numerator dsin to the power of negative 1 end exponent straight x over denominator dx end fraction integral xdx close parentheses dx
straight I equals straight x squared over 2 sin to the power of negative 1 end exponent straight x minus integral fraction numerator 1 over denominator square root of 1 minus straight x squared end root end fraction straight x squared over 2 dx
straight I equals straight x squared over 2 sin to the power of negative 1 end exponent straight x minus 1 half integral fraction numerator straight x squared over denominator square root of 1 minus straight x squared end root end fraction dx
Integrating space further space we space get
straight I equals straight x squared over 2 sin to the power of negative 1 end exponent straight x plus straight x over 4 square root of 1 minus straight x squared end root plus 1 fourth sin to the power of negative 1 end exponent straight x plus straight c end style
Answered by Sneha shidid | 25 Jul, 2019, 09:51: AM
CBSE 12-science - Maths
Asked by dattashibani456 | 06 Apr, 2022, 01:07: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by sujachris1969 | 08 Jul, 2020, 04:47: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by jain.pradeep | 10 Jan, 2020, 10:21: AM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Harsh | 25 Jul, 2019, 07:02: AM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by haroonrashidgkp | 29 Oct, 2018, 12:05: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by haroonrashidgkp | 28 Oct, 2018, 01:19: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by haroonrashidgkp | 18 Oct, 2018, 04:31: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by haroonrashidgkp | 18 Oct, 2018, 04:30: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by haroonrashidgkp | 18 Oct, 2018, 04:30: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT

Start your hassle free Education Franchisee and grow your business!

Know more
×