`I= int_(x_1)^(x_2) sqrt(y(1+y)^2) dx`

int_(1)^(2) (x)/(sqrt(1+2x^(2)))dx

int_(1)^(2)(1)/(x sqrt(x^(2)-1))dx=

If I_(1) int_(1)^(2) dx/sqrt(1+x^(2)) and I_(1) = int _(1)^(2) dx/x then

Let I_(1)=int_(1)^(2)(1)/(sqrt(1+x^(2)))dx and I_(2)=int_(1)^(2)(1)/(x)dx .Then

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

Let I _(1) = int _(1) ^(2) (dx )/(sqrt(1 + x ^(2))) and I _(2) = int _(1) ^(2) (dx)/(x)

If I=int_(1)^(2)(dx)/(sqrt(x)-sqrt(x-1)) , then value of (9)/(32)(l)^(2) , is _________.

I_(1)=int_(1)^(2)sqrt(sin(3x-x^(2)-2))dx and I_(2)=int_(1)^(3)sqrt(sin((4x-x^(2)-3)/(4)))dx then the value of 2I_(1)-I_(2) is

int_(-1)^(1)(x)/(sqrt(a^(2)-x^(2)))dx(a>1)