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फलनों का समाकलन कीजिए - `(1)/(2x^(2)+5x+3)`

Answer» Correct Answer - `log((x+1)/(2x+3))`
`2x^(2)+5x+3=(x+1)(2x+3)`
`therefore int(dx)/(2x^(2)+5x+)=int(dx)/((x+1)(2x+3))=int[(1)/(x+1)-(2)/(2x+3)]dx`
`=log(x+1)-(2)/(2)log(2x+3)+c`
`=log((x+1)/(2x+3))+c`


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