MAT 210 BRIEF CALCULUS FINAL EXAM GUIDE QNS & ANS 2026 (Complete And Verified Study material) (6pages) LEARNEXAMS

I. Multiple Choice List your answers on the back of the exam in the provided grid. 1. Calculate without calculator the exact value of the following definite integral. ∫ 2 2???? ????+5????????. A. 2????7 − 2????5 B. 2????7 C. ???? 7 - ???? 5 D. 1896.43999 E. None of these. 2 2 2 ∫ 2????????+5???????? = 2????????+5| 2 = 2????7 − 2????5 0 2. Calculate without calculator the exact value of the following definite integral. ∫ 3 4 ????????. 1 ???? A. − 32 9 B. 4.39444 C. ln 12 D. 4 ln 3 E. None of these ∫ 3 4 ???????? = 4 ln ????| 3 = 4 ln 3 − 4 ln 1 = 4 ln 3 since ln 1 = 0 1 ???? 1 3. Decide whether or not the given integral converges. ∞ 8 ∫ ???? 2 ???????? If it converges determine the value it converges to. A. 8 3 B. Diverges C. 8 D. 4 E. None of these ∞ 8 ???? 8 −8 ???? 8 ∫ 2 ???????? = lim ∫ 2 ???????? = lim(( )| ) = lim(− + 8) = 8 1 ???? ????→∞ 1 ???? ????→∞