3. The elastic modulus E of cancerous glandular tissue at time t is shown below:
0
2
4
6
t (wks)
E (kPa) 22.1 20.8 18.4 13.1
Approximate the value of the integral
8
10 12- 14 16 18 20
8.3 5.2 4.5 3.9 3.6 3.4 3.1
$$I = \int_0^{20} E(t) cos^2 t dt$$
using
(a) The Trapezoidal rule.
(b) Simpson's rule.
and the data provided in the table.