MAC 2312 Final: Final-Exam-Additional-Review-Problems-MAC-2312

• School: University of Florida
• Department: Math-Calculus & Precalculus
• Course: MAC 2312
• Professor: All

Document Summary

Z dx (x2 + 4)2 (hint: trig substitution) Z sec x tan3 x dx (trig integration) 3x (x2 + 4x + 6) dx (partial fraction case iii) 2 ln(x2 + 4x + 6) ln(x2 + 4x + 6) + ln(x2 + 4x + 6) + ln(x2 + 4x + 6) . 2 arctan(cid:12)(cid:12)(cid:12)(cid:12) arctan(cid:12)(cid:12)(cid:12)(cid:12) arctan(cid:12)(cid:12)(cid:12)(cid:12) arctan(cid:12)(cid:12)(cid:12)(cid:12: evaluate the integral. Z x2 x 1 (x 1)(x + 2)2 dx (partial fraction case ii) x + 2 x + 2 x + 2. Indicate a good method for evaluating the integral. 1 x x + 9 dx. (rationalizing sub and. 2 (cid:17)o is bounded and convergent. (t/f) (a) (cid:26) 1 (b) nsin(cid:16) n (c) (cid:26)cos(cid:18) (2n + 1) (d) ntan(cid:16) n(cid:17)on=3. 2 (cid:19)(cid:27) is bounded and divergent. (t/f) is bounded and convergent. (t/f) Mac 2312 final exam review: determine if the series converges (by what test?) 4 (a) (b) (c) (d) (e) (f) (g)