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int(dx)/(ax^(2)+bx+c)=k(1)tan^(-1)(x+A)/...

`int(dx)/(ax^(2)+bx+c)=k_(1)tan^(-1)(x+A)/(B)+C` if

A

`agt0,b^(2)-4acgt0`

B

`alt0,b^(2)-4acgt0`

C

`alt0,b^(2)-4aclt0`

D

`alt0,b^(2)-4aclt0`

Text Solution

Verified by Experts

The correct Answer is:
C, D
`int(dx)/(ax^(2)+bx+c)=(1)/(a)int(dx)/((x+(b)/(2a))^(2)-(b^(2)-4ac)/(4a^(2)))`
`k_(1)=tan^(-1)(x+A)/(B)+C` if `(b^(2)-4ac)/(4a^(2)lt0`
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