**The Area as a Double Integral**

Problem 1

Find the general formula as a double integral in
rectangular coordinates that allows to find the area between the lines
*x* = *a*,* x* = *b* and the curves *y*
= *g*(*x*), *y* = *f*(*x*).

**Problem 2**

Find the general formula as a double integral in rectangular
coordinates that allows to find the area between the lines *y*
= *c*, *y* = *d* and the curves *x* =
(*y*),
*x* = (*y*).

**Problem 3**

Find the general formula as a double integral in polar
coordinates that allows to find the area between the lines
= ,
= and the curves*
r* = g(),
*r *= *f*().

**Problem 4**

Find the general formula as a double integral in polar
coordinates that allows to find the area between the circles *r*
= *a*, *r *= *b* and the curves
= (*r*),
= (*r*).

**Problem 5**

The following graphics determine a series of curves
in polar coordinates and their general designation. Using the general
formulas of problems 4 or 5, find the area limited by the given
curves.