Find the area between the curve f(x) = cosx and x= 1 and x= 2

f(x) = cosx

We know that we
can obtin the area by integrting the function.

Let F(x) =
integrl f(x)

==> we know that the area
is:

A = F(2) - F(1)

Let us
integrate f(x):

F(x) = intg cosx
dx

         = sinx +C

F(2) =
sin2  +C

F(1) = sin1+
C

==> A = sin2 -
sin1

             = 0.0348 -
0.0175

               =
0.0173

Then the area btween th curveand x= 1
and x=2= 0.0173 square units.