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Solution of the question 4Limit from 0 to infinity x dx / (1+x)(+x^2)

Solution of the question 4Limit from 0 to infinity x dx / (1+x)(+x^2)

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Grade:12

1 Answers

Nandana
110 Points
6 years ago
hi ,
     y = ∫infinity x/(1+x)(1+x2 ) dx
        by partial fraction method x/(1+x)(1+x2 ) can be written as
                           ½  [1+x/(1+x2)-1/(1+x)]
     ½   ∫ [1+x/(1+x2)-1/(1+x)] = ½ [∫infinity dx/(1+x2) + ∫infinity x dx /(1+x2)- ∫infinity dx/(1+x)]
                                                 = ½ Limx →infinity  ln [(1+x2 )½ /1+x] + π/4
                                                 = π/4 
                              I think this is currect , check it out !
                                                   thank you , keep learning through asking …!
                                

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