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**srirahulan** find out the value of the integration by using partial fraction knowledge,$$\int_{0}^{k}\frac{2}{(x+1)^2(x^2+1)}d( x)$$ where [k>0]then $$\lim_{k\rightarrow\propto}\int_{0}^{k}\frac{2}{( x+1)^2(x^2+1)}d(x)$$,,,,I go through this way,,, first of all i find the value of the integral, it comes like this, $$\frac{1}{2}ln\frac{(k+1)^2}{k^2+1}+\frac{k}{k+1} $$then can i change intho this and find out the limit for that,,$$\frac{1}{2}ln\frac{(\frac{1}{k}+1)^2}{ \frac{1}{k^2}+1}+\frac{1}{\frac{1}{k}+1}$$ Is It Correct or Not???