i) \int_{ }^{ }\ \frac{\ س\ +\ 1\ }{\left(3س\ +\ 1\right)5}ء\ س\ =\ \frac{1}{3}\int_{ }^{ }\left(3س\ +\ 1\ +2\right)\left(3س+1\right)5\ ءس

= \frac{1}{3}\int_{ }^{ }\left(3س+1\right)-4\ +2\left(3س+1-5\ ءس\right)

=- \frac{\left(3س+1\right)-3}{27} - \frac{\left(3س\ +1\right)-4}{18} + ث

ii) \int_{ }^{ } ( جا² 3س + جتا² 3س + ظا² 3س ) ء س = \int_{ }^{ } قا² 3س . ء س

= \frac{1}{3} ظا 3 س + ث