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If x=(6y+4)(3y^(2)+4y+3) then intxdy wil...

If `x=(6y+4)(3y^(2)+4y+3)` then `intxdy` will be `:`

A

`(1)/(3x^(2)+4y+3)`

B

`((3y^(2)+4y+3)^(2))/(2)+C`

C

`(3y^(2)+4y+3)`

D

`((6y+4))/((3y^(2)+4y+3))`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `3y^(2)+4y+3=trArr(6y+4)dy=dt`
Then `intxdy=inttdt=(t^(2))/(2)+C`
`=((3y^(2)+4y+3)^(2))/(2)+C`
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