a) $\displaystyle\int_0^{{\pi  \over 2}} {\cos 2x\sin ^2} xdx$

b) $\displaystyle\int_{ - 1}^1 {|{2^x}}  - {2^{ - x}}|dx$

c) $\displaystyle\int_1^2 {{{(x + 1)(x + 2)(x + 3)} \over {{x^2}}}} dx$

d) $\displaystyle\int_0^2 {{1 \over {{x^2} - 2x - 3}}} dx$

e) $\displaystyle\int_0^{{\pi  \over 2}} {{{({\mathop{\rm s}\nolimits} {\rm{inx}} + {\mathop{\rm cosx}\nolimits} )}^2}dx}$

g) $\displaystyle\int_0^\pi  {{{(x + {\mathop{\rm s}\nolimits} {\rm{inx}})}^2}} dx$