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CBSE Class 12-science Answered

Can u please integrate this with the procedure. Limits 0 to q
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Asked by prakriti12oct | 16 Jun, 2019, 03:51: PM
answered-by-expert Expert Answer
begin mathsize 14px style I space equals space integral subscript 0 superscript q fraction numerator d x over denominator Q minus 2 x end fraction space space open parentheses space space because space v a r i a b l e space o f space i n t e g r a n d space c a n space b e space a n y t h i n g close parentheses
L e t space u space equals space Q minus 2 x space comma space space space t h e n space space space d x space equals space minus fraction numerator d u over denominator 2 end fraction
l i m i t s space colon negative space space space w h e n space space x space equals space 0 comma space space u space equals space Q space space space semicolon space space space w h e n space x space equals space q comma space space u space equals space Q space minus space 2 q
I space equals space minus 1 half integral subscript Q superscript Q minus 2 q end superscript fraction numerator d u over denominator u end fraction space equals space 1 half integral subscript Q minus 2 q end subscript superscript Q fraction numerator d u over denominator u end fraction space equals space log square root of fraction numerator Q over denominator Q minus 2 q end fraction end root space plus space C end style
Answered by Thiyagarajan K | 16 Jun, 2019, 06:50: PM
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