1.

फलनों का समाकलन कीजिए - `(x^(2)+1)/(x^(2)-1)`

Answer» Correct Answer - `x+log((x-1)/(x+1))`
`(x^(2)+1)/(x^(2)-1)=int((x^(2)-1)+2)/((x^(2)-1))dx=int(1+(2)/(x^(2)-1))dx=int1dx+2int(1)/(x^(2)-1)dx`
`=x+2xx(1)/(2)log((x-1)/(x+1))=x+log((x-1)/(x+1))`


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