Question: Given the function \(f\left( x \right)=2{{x}^{2}}-7x+5\), determine the following

(a) \(\int{\left( 2{{x}^{2}}-7x+5 \right)dx}\)

(b) \(\int\limits_{0}^{2}{{}}\left( 2{{x}^{2}}-7x+5 \right)dx\)

(c) Positive physical area under the curve over the interval [0, 2]