Please work and why it converges or diverge

Be sure to practice the Integral Test for these problems even if there is an alternative way to determine if the series converses or diverges. \"2 CO 1. Converge or diverge: 2 m3 \":1 n 1 + :12 ' 00 . 1 3. Converge or d1verge:\"2 m. 00 4. Converge or diverge: Z \"1 DO 2. Converge or diverge: 2 121 1n n n 5. Converge or diverge: E 3\". n=1 DO 6. Converge or diverge: 2 HF\". (Hint: use Integration by Parts) r121 00 2 . n 7. Converge or d1verge:ug:l \"3 + 1