1.

फलनों का x के सापेक्ष समाकलन कीजिए - `sqrt((2x^(2)+3x+4))`

Answer» Correct Answer - `(4x+3)/(8)sqrt((2x^(2)+3x+4))+(23sqrt2)/(32)log[(x+(3)/(4))+sqrt(x^(2)+(3)/(2)x+2)]`
`2x^(2)+3x+4=2(x^(2)+(3)/(2)x+2)`
`=2(x^(2)+(3)/(2)x+(9)/(16)-(9)/(16)+2)`
`=2(x^(2)+(3)/(2)x+(9)/(16))+2xx(23)/(16)`
`=2[(x+(3)/(4))^(2)+(23)/(16)]`


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