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If int(dx)/(x^(2)+ax+1)=f(g(x))+c, then...

If `int(dx)/(x^(2)+ax+1)=f(g(x))+c, ` then

A

`f(x)` is inverse trigonometric function for `|a| lt 2`

B

`f(x)` is logarithmic function for `|a| gt 2`

C

`g(x)` is quadratic function for `|a| lt 2`

D

`g(x)` is rational function for `|a| gt 2`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
`int(dx)/(x^(2)+ax+1)=int(dx)/((x+(a)/(2))^(2)+(1-(a^(2))/(4)))`
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