`int_1^2((x^2-1)dx)/(x^3*sqrt(2x^4-2x^2+1))=u/v` where u are in their blowest form. Find the value of `((1000)u)/v.`

int_(1)^(2)((x^(2)-1)dx)/(x^(3).sqrt(2x^(4)-2x^(2)+1))=(u)/(v) where u and v are in their lowest form. Find the value of ((1000)u)/(v) .

int_(1)^(2)((x^(2)-1)dx)/(x^(3).sqrt(2x^(4)-2x^(2)+1))=(u)/(v) where u and v are in their lowest form. Find the value of ((1000)u)/(v) .

If u=sin^(-1)((2x)/(1+x^2)) and v=tan^(-1)((2x)/(1-x^2)) , where -1

If x^(2)+y^(2)=4 and u^(2)+v^(2)=9 where x,y,u and v are real numbers then find the maximum value of (xu-yv)

Let u=int_0^oo (dx)/(x^4+7x^2+1 and v=int_0^oo (x^2dx)/(x^4+7x^2+1) then find the value of u+v

If f(x)=log{(u(x))/(v(x))},u(1)=v(1) and u'(1)=v'(1)=2, then find the value of f'(1) .

If f(x)=log{(u(x))/(v(x))},\ u(1)=v(1) and u^(prime)(1)=v^(prime)(1)=2 , then find the value of f^(prime)(1) .

If f(x)=log{(u(x))/(v(x))},\ u(1)=v(1) and u^(prime)(1)=v^(prime)(1)=2 , then find the value of f^(prime)(1) .

Find (dy)/(dx) when y=u^(3) and u=sqrt(6x^(2)-2x+1)

Let u=int_(0)^((pi)/(4))(cos^(2)x)/(1+sin2x)dx,v=int_(0)^((pi)/(8))(1)/((1+tan2x)^(2))dx then the value of (u)/(v) equals