Request a call back

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

JEE Class main Answered

Solve the problem in photo showing each step clearly
question image
Asked by Vidushi412 | 15 Sep, 2019, 11:14: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator straight e to the power of straight x open parentheses straight x cubed minus straight x plus 2 close parentheses over denominator open parentheses straight x squared plus 1 close parentheses squared end fraction dx
equals integral open parentheses fraction numerator xe to the power of straight x plus 2 straight e to the power of straight x over denominator straight x squared plus 1 end fraction minus fraction numerator 2 straight x open parentheses xe to the power of straight x plus straight e to the power of straight x close parentheses over denominator open parentheses straight x squared plus 1 close parentheses squared end fraction close parentheses dx
Solve space it space using space integration space by space parts
we space get
equals space fraction numerator 2 open parentheses xe to the power of straight x plus straight e to the power of straight x close parentheses over denominator 2 open parentheses straight x squared plus 1 close parentheses end fraction plus 2 integral open parentheses negative fraction numerator xe to the power of straight x plus 2 straight e to the power of straight x over denominator 2 open parentheses straight x squared plus 1 close parentheses end fraction close parentheses dx plus integral fraction numerator xe to the power of straight x plus 2 straight e to the power of straight x over denominator straight x squared plus 1 end fraction dx
equals fraction numerator xe to the power of straight x plus straight e to the power of straight x over denominator straight x squared plus 1 end fraction plus straight c end style
Answered by Sneha shidid | 16 Sep, 2019, 09:57: AM
JEE main - Maths
Asked by dubeynitesh9876 | 28 Feb, 2024, 09:51: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by indrajitrana2005 | 16 Feb, 2024, 08:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by avusulaprashanti | 01 Feb, 2024, 03:40: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by rishabhsankla1 | 06 Sep, 2020, 11:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
Asked by Vidushi412 | 15 Sep, 2019, 11:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×