Question: Find the definite integrals:

(a) \(\int\limits_{0}^{\pi /4}{\left( {{\sec }^{2}}x+1 \right)dx}\)

(b) \(\int\limits_{-1}^{1}{\left( {{x}^{3}}-2x-1 \right)dx}\)

(c) \(\int\limits_{0}^{1}{{}}\left( -2{{x}^{2}}{{e}^{{{x}^{3}}}} \right)dx\)

(d) \(\int\limits_{0}^{1}{\frac{{{x}^{2}}}{1+{{x}^{6}}}dx}\)