`int(dx)/((2x-x^2)^(3/2))`

I=int(dx)/((2a x+x^2)^(3/2))

IfI=int(dx)/((2a x+x^2)^(3/2)) ,then I is equal to (a) -(x+a)/(sqrt(2a x+x^2))+c (b) -1/a(x+a)/(sqrt(2a x+x^2))+c (c) -1/(a^2)(x+a)/(sqrt(2a x+x^2))+c (d) -1/(a^3)(x+a)/(sqrt(2a x+x^3))+c

IfI=int(dx)/((2a x+x^2)^(3/2)) ,then I is equal to (a) -(x+a)/(sqrt(2a x+x^2))+c (b) -1/a(x+a)/(sqrt(2a x+x^2))+c (c) -1/(a^2)(x+a)/(sqrt(2a x+x^2))+c (d) -1/(a^3)(x+a)/(sqrt(2a x+x^3))+c

int(dx)/((3-2x-x^(2)))=?

Evaluate int(dx)/(2x^(1/2)+x^(3/2))

int(dx)/((2x^(2)+x+3))=?

int(dx)/((3x^(2)-4x+2)^((3)/(2)))

int(dx)/(sqrt(2x^(2)+3x-2))

Assertion (A) : int(dx)/(x^(2) + 2x + 3) = (1)/(sqrt(2)) tan^(-1)((x+1)/(sqrt(2))) + c Reason (R) : int(dx)/(x^(2) + a^(2)) = (1)/(a) tan^(-1)((x)/(a)) + c