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CBSE Class 12-science Answered

intergal dx/3+2x+x²
Asked by ps9680677 | 26 Oct, 2023, 11:47: AM
answered-by-expert Expert Answer
begin mathsize 14px style I space equals space integral fraction numerator d x over denominator 3 plus 2 x plus x squared end fraction space equals space integral fraction numerator d x over denominator open parentheses x plus 1 close parentheses squared plus open parentheses square root of 2 close parentheses squared end fraction end style
 
By using the formula begin mathsize 14px style integral fraction numerator d x over denominator x squared plus a squared end fraction space equals space 1 over a space tan to the power of negative 1 end exponent open parentheses x over a close parentheses end style , above integration is written as
 
begin mathsize 14px style I space equals space fraction numerator 1 over denominator square root of 2 end fraction tan to the power of negative 1 end exponent open parentheses fraction numerator x plus 1 over denominator square root of 2 end fraction close parentheses plus C end style
Answered by Thiyagarajan K | 26 Oct, 2023, 03:54: PM

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CBSE 12-science - Maths
intergal dx/3+2x+x²
Asked by ps9680677 | 26 Oct, 2023, 11:47: AM
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