`int dx/sqrt(x^2-1)`

I=int dx/(sqrt(1-x^(2))(9+(sin^(-1)x)^(2))

Evaluate: int(dx)/(sqrt(1-x^2))

int(dx)/(sqrt(x^(2)+2x+1))=Alog|x+1|+C , x ne -1 then

Consider int(x^(3)+3x^(2)+2x+1)/(sqrt(x^(2)+x+1))dx =(ax^(2)+bx+c)sqrt(x^(2)+x+1)+lambda int(dx)/(sqrt(x^(2)+x+1)) Now, match the following lists and then choose the correct code. Codes: {:(,a,b,c,d),((1),q,p,s,r),((2),s,p,q,r),((3),r,q,p,s),((4),q,s,p,r):}

Evaluate : intdx/sqrt((x-1)(2-x)) by the substitution x=1+sin^2theta . Hence, find the value of int_1^2dx/sqrt((x-1)(2-x))

int sqrt(2x-1) dx

int(dx)/(sqrt(1-x^(2))(sin^(-1)x)^(2))

Evaluate: int(dx)/(x^3sqrt(x^2-1))

Evaluate int(dx)/(sqrt(1-x^(2))(1+sqrt(1-x^(2)))) .

prove that int(dx)/(sqrt(1-x^(2)))=sin^(-1)x+c