CBSE Class 12-science Answered
Integrate x/(1-x)^54
![question image](https://images.topperlearning.com/topper/new-ate/topr_162243364903824869E19E7FA1A943EB9C10FEC385A26D64.jpeg)
Asked by Harshgupta343260 | 25 Aug, 2019, 17:18: PM
![begin mathsize 16px style straight I equals integral subscript 0 superscript 1 space straight x over open parentheses 1 minus straight x close parentheses to the power of 54 dx end style](https://images.topperlearning.com/topper/tinymce/cache/1b2b3b5da1538d495a5a58b7a986ee2c.png)
![begin mathsize 16px style straight I equals integral subscript 0 superscript 1 space fraction numerator 1 minus straight x over denominator straight x to the power of 54 end fraction dx space space space space space space space space space space space space space space using space integral subscript 0 superscript straight a space straight f open parentheses straight x close parentheses dx equals integral subscript 0 superscript straight a straight f open parentheses straight a minus straight x close parentheses dx end style](https://images.topperlearning.com/topper/tinymce/cache/02dbbbb09816b202df5d22db99d3c05b.png)
![begin mathsize 16px style straight I equals integral subscript 0 superscript 1 space open parentheses straight x to the power of negative 54 end exponent minus straight x to the power of negative 53 end exponent close parentheses dx end style](https://images.topperlearning.com/topper/tinymce/cache/c655313d7cddc2a911401b3cc7330729.png)
Integrating this you will get the answer.
Answered by Sneha shidid | 26 Aug, 2019, 09:49: AM
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