Calculus Exam One Practice Problems Questions and Answers

∫ 2x / (x² - 1) - ANSWER-Method: U sub HW 6 #1 Answer: ln(x+1) + ln(x-1) + C ∫ x - 8 x² + 2x - 8 - ANSWER-Method: Partial Fractions HW 6 #3 Answer: 2 ln(x+4) - ln(x-2) + C ∫ 9x - 25 3x² - 13x + 4 - ANSWER-Method: Partial Fractions HW 6 #5 Answer: 2 ln(3x-1) + ln(x-4) + C ∫ x² + 4x + 5 x³ + x² + x + 1 - ANSWER-Method: Partial Fractions HW 6 #7 Answer: 4 tan⁻¹(x) + ln(x+1) + C ∫ 4x² + 11 x³ + x² + 4x + 4 - ANSWER-Method: Partial Fractions HW 6 #9 Answer: 1/2 ln(x^2 + 4) - 1/2 tan⁻¹(1/2 x) + 3 ln(x+1) + C ∫ 2x - 1 x² - 4x + 4 - ANSWER-Method: Partial Fractions HW 6 #11 Answer: -3(x-2)^(-1) + 2 ln(x-2) + C ∫3x² + 2x - 4 x² - x- 2 - ANSWER-Method: Partial Fractions HW 6 #13 Answer: 3x + ln(x+1) + 4 ln(x-2) + C ∫ 3x - 7 x + 2 - ANSWER-Method: Partial Fractions HW 6 #15 Answer: 3x - 13 ln(x+2) + C ∫ 1 x√(25 - x²) - ANSWER-Method: Trig Substitution