1.

फलनों का समाकलन कीजिए - `(x^(2))/(x^(6)+x^(3)-2)`

Answer» Correct Answer - `(1)/(9)log((x^(3)-1)/(x^(3)+2))`
माना `x^(3)=t rArr 3x^(2)dx=dt`
तब `int(x^(2))/(x^(6)+x^(3)-2)dx=(1)/(3)int(dt)/(t^(2)+t-2)=(1)/(3)int(dt)/((t-1)(t+2))`
`=(1)/(3)int[(1)/(t-1)-(1)/(t+2)]dt`


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