Solution of the question 4Limit from 0 to infinity x dx / (1+x)(+x^2)
Riya , 7 Years ago
Grade 12
Differential Calculus> Solution of the question 4Limit from 0 to...
1 AnswersNandana
Last Activity: 7 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
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