theta_(0)(ses u^(2)x-2005)/(cos^(2)005x)dx=?

int(cos ec^(2)x-2005)/(cos^(2005)x)*dx

int(cosec^2x-2005)/cos^[2005]x.dx

int(cosec^2x-2005)/cos^[2005]x.dx

int(cos e c^2x-2005)/(cos^(2005)x)dx is equal to (a) -(cotx)/((cosx)^(2005))+c (b) (tanx)/((cosx)^(2005))+c (c) -(tanx)/((cosx)^(2005)+c (d) none of these

int(cos e c^2x-2005)/(cos^(2005)x)dx is equal to (a) -(cotx)/((cosx)^(2005))+c (b) (tanx)/((cosx)^(2005))+c (c) -(tanx)/((cosx)^(2005)+c (d) none of these

int(csc^(2)x-2005)/(cos^(205)x)dx is equal to (cot x)/((cos x)^(2005))+c(b)(tan x)/((cos x)^(2005)+c(-(tan x))/((cos x)^(2005))+c(d) none of these )

If x=a cos theta+b sin theta,y=a sin theta-b cos theta then show that y^(2)(d^(2)y)/(dx^(2))-x(dy)/(dx)+y=0

x=a cos theta+b sin theta and y=a sin theta-b cos theta show that y^(2)(d^(2)y)/(dx^(2))-x(dy)/(dx)+y=0

If x=a cos theta+b sin theta and y=a sin theta-b cos theta, then prove that y^(2)(d^(2)y)/(dx^(2))-x(dy)/(dx)+y=0

If quad f(theta)=int_(0)^(oo)(tan^(-1)x)/(x^(2)+2x cos theta+1)dx,theta in(0,pi) then f((pi)/(2))=(pi^(2))/(a) where,a is