CBSE Class 12-science Answered
intergal dx/3+2x+x²
Asked by ps9680677 | 26 Oct, 2023, 11:47: AM
![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](https://images.topperlearning.com/topper/tinymce/cache/951e230f58e2ef111a08df19e71c4a9a.png)
By using the formula
, above integration is written as
![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](https://images.topperlearning.com/topper/tinymce/cache/067c5788e19152b97f436b8835f9193a.png)
![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](https://images.topperlearning.com/topper/tinymce/cache/4ba7b6bb61291cefc3117bf0a1cdbb6c.png)
Answered by Thiyagarajan K | 26 Oct, 2023, 15:54: PM
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