समाकलन करें `int (dz)/(9z^(2)-1),(z gt (1)/(3))`

int(dz)/(z sqrt(z^(2)-1))

int ((2z+1)/(5z+1))dz=

inte^zsqrt(4-e^(2z))dz

If y=(1)/(a-z) , then (dz)/(dy)=

Suppose z satisfies the equation z^(2) + z + 1 = 0."Let" omega = (z+(1)/(z))^(2) + (z^(2) + (1)/(z^(2)))^(2) + (z^(3) + (1)/(z^(3)))+...+(z^(9) + (1)/(z^(9)))^(2) then |omega + sqrt(301) i| is equal to ____________

inte^(2z)sqrt(e^(4z)+6)dz

If z_1, z_2a n dz_3, z_4 are two pairs of conjugate complex numbers, find the a rg((z1)/(z4))+a rg((z2)/(z3)) =0

If x=int_(c^(2))^(tan t)tan^(-1)z dz, y= int_(n)^(sqrt(t))(cos(z^(2)))/(z)dx then (dy)/(dx) is equal to : (where c and n are constants) :

If x=int_(c^(2))^(tan t)tan^(-1)z dz, y= int_(n)^(sqrt(t))(cos(z^(2)))/(z)dx then (dy)/(dx) is equal to : (where c and n are constants) :