Final[Fall_2014-2015] - MTH104/Calculus II Review...

This preview shows page 1 - 3 out of 6 pages.

MTH104/Calculus II Review Problems/Final Exam Q1. Evaluate the following integral a) 2 x 3 x 2 ln x dx b) 36 25 x 2 dx c) cos x sin 2 x 25 dx Q2. Evaluate the following improper integrals: a) 1 3 x 1 4 x 4 x 2 dx b) 0 x 2 e x dx c) 0 3 dx 9 x 2 Q3. Check for convergence a) 1 e x x 3/2 dx b) 3 x 2 1 x 2  x 2 2 dx Q4. Determine whether the following series converge or not. a) n 1 n 2 e n 3 b) n 1 5 n n ! 2 n ! c) n 1 1 n ln n  2 n 1 d) n 1 n 2 1 n 5 n 2 n 1 1/3 e) n 1 n n n 2 6 n 2 g) n 2 ln n  3 n 3/2 Q5. Decide wether the following series Absolutely converge, Conditionally converge or diverge a) n 1 1 n sin n n 2 1 b) n 1 1 n n ln n n 2 n 1
Image of page 1

Subscribe to view the full document.