1.

फलनों का x के सापेक्ष समाकलन कीजिए - `(1)/(sqrt((x^(2)+3x+1)))`

Answer» Correct Answer - `log(2x+3)+2sqrt(x^(2)+3x+1)`
`x^(2)+3x+1=x^(2)+3x+(9)/(4)+1-(9)/(4)=(x^(2)+3x+(9)/(4))-(5)/(4)`
`=(x+(3)/(2))^(2)-(5)/(4)=(1)/(4)[(2x+3)^(2)-(sqrt5)^(2)]`


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