Calculate the integral, assuming that ${\displaystyle \underset{0}{\overset{1}{}}}f(x)dx=2,{\displaystyle \underset{0}{\overset{2}{}}}f(x)dx=6,{\displaystyle \underset{1}{\overset{4}{}}}f(x)dx=10.$

Determine if the integral calculation is correct. If not, identify the correct value using the answer bank.

${\displaystyle \underset{2}{\overset{4}{}}}f(x)dx=4$