Question: Evaluate the following integrals:

(a) \(\int{\left( x+{{x}^{2}}+\frac{1}{\pi {{x}^{2}}} \right)dx}\)

(b) \(\int{\left( \sqrt{x}-\frac{1}{x\sqrt{x}} \right)dx}\)

(c) \(\int{\cos \left( 2\theta \right)d\theta }\)

(d) \(\int{\left( {{e}^{t}}+{{e}^{3}} \right)dt}\)

(e) \(\int{\left( \frac{2}{x}+\frac{x}{2} \right)dx}\)