If `int(dx)/((a^(2)-b^(2)x^(2))^((3)/(2)))=(x)/(c sqrt(a^(2)-b^(2)x^(2)))+d` ,then the value of "c" is equal to

int(dx)/((x^(2)+a^(2))(x^(2)+b^(2))) equals.

" If "int(x)/(sqrt(x+2))dx=a(x+2)^((3)/(2))+b(x+2)^((1)/(2))+cquad " ,then the values of a and b are "

If sqrt(x+sqrt(x^(2)+x))dx=A{x+sqrt(x^(2)+2)}^(3//2)+(B)/(sqrt(x+sqrt(x^(2)+2)))+c. then the value of 3AB is

int (3ax)/(b^2+c^2x^2)dx

int sin^(5//2)x cos^(3)x dx = 2 sin^(A//2)x[(1)/(B)-(1)/(C) sin^(2)x]+C , then the value of (A+B)-C is equal to ........ .

If int(dx)/((x^(2)+x+1)^(2))=atan^(-1)((2x+1)/(sqrt(3)))+b((2x+1)/(x^(2)+x+1))+C , x gt 0 where C is the constant of integration, then the value of 9(sqrt(3)a+b) is equal to __________.

int(x^(2))/((x^(2)-4)^(3/2))dx=log|x+sqrt(x^(2)-4)|+A+c then A=

int(x^(2))/((x^(2)-4)^(3/2))dx=log|x+sqrt(x^(2)-4)|+A+c then A=

int(1)/(a^(2)-b^(2)cos^(2)x)dx(a>b)=(1)/(a sqrt(a^(2)-b^(2)))tan^(-1)[(a tan x)/(sqrt(a^(2)-b^(2)))]+c

The value of int((ax^(2)-b)dx)/(x sqrt(c^(2)x^(2)-(ax^(2)+b)^(2))) is equal to