Evaluate the integral by making an appropriate change of variables such that the new region of integration is a rectangle with sides parallel to the coordinate axis
double integral under r of xy^3 where r is the region in the first quadrant bounded by y=x y=3x xy=1 xy=4

The system of equations is

Step-by-step explanation:

Let

x------> the number of videos of new releases

y-----> the number of classics videos

we know that

------> equation A

------> equation B

Using a graphing tool

Solve the system of equations

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is

see the attached figure

therefore

the number of videos of new releases is

the number of classics videos is