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If p lt 0, then the intergral of the for...

If `p lt 0`, then the intergral of the form `int sqrt(px^(2)+qx+r)dx` can be obtained using the formula-

A

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

B

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

C

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

D

either (A) or ©

Text Solution

Verified by Experts

The correct Answer is:
B
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