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If a lt 0," then "int (dx)/(sqrt(ax^(2)+...

If `a lt 0," then "int (dx)/(sqrt(ax^(2)+bx+c))` can be evaluated using the formula-

A

`int(dx)/(sqrt(x^(2)+k^(2)))=log |x+sqrt(x^(2)+k^(2))|+c`

B

`int(dx)/(sqrt(x^(2)-k^(2)))=log |x+sqrt(x^(2)-k^(2))|+c`

C

`int (dx)/(sqrt(k^(2)-k^(2)))=sin^(-1)""(x)/(k)+c`

D

A or B

Text Solution

Verified by Experts

The correct Answer is:
C
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