Assume that the integral

\\\\int_0^3 \\\\int_(4x)^(12) f(x,y)dydx

exists.\ Which is the equivalent double integral with the order of integration changed?\

\\\\int_(4x)^(12) \\\\int_0^3 f(x,y)dxdy

\

\\\\int_0^(12) \\\\int_((y)/(4))^3 f(x,y)dxdy

\

\\\\int_0^3 \\\\int_(12)^(4y) f(x,y)dxdy

\

\\\\int_0^3 \\\\int_(4x)^(12) f(x,y)dxdy

\

\\\\int_0^(12) \\\\int_0^((y)/(4)) f(x,y)dxdy

that the integral 034x12f(x,y)dydx exists. is the equivalent double integral with the order of 4x1203f(x,y)dxdy012y/43f(x,y)dxdy03124yf(x,y)dxdy034x12f(x,y)dxdy0120y/4f(x,y)dxdy