Question

Considere a tabela d valores para f:

Answer 1

Regra dos Trapézios Sem Repetição:

$h=b-a\ \therefore\ h=1.2-0\ \therefore\ h=1.2\\\\ f(a)=f(0)=1.0\\\\ f(b)=f(1.2)=4.8610$

$\boxed{I=\int\limits^{1.2}_{0}{f(x)dx}\approx\dfrac{h}{2}\bigg(f(a)+f(b)\bigg)}$

$I\approx\dfrac{1.2}{2}\bigg(1+4.861\bigg)\approx0.6\bigg(5.861\bigg)\ \therefore$

$\boxed{I\approx3.5166}$