Answers to Assigned Problems in Lesson 14

Page 202.

  1. \( -\tfrac{1}{8} (4x+1)^{-2} + C. \)
  2. \( \tfrac{1}{100} e^{100x} + C. \)
  3. \( \frac{(1.0003)^{12t}}{12\ln 1.0003} + C. \)
  4. \( -\tfrac{1}{10} e^{10/x} + C. \)
  5. \( \tfrac{2}{3} (w+5)^{3/2} + C. \)
  6. \( \tfrac{4}{9} (3x^3-1)^{3/2} + C. \)
  7. \( \ln ( \ln x ) + C. \)
  8. \( \tfrac{1}{2} \ln \lvert x^2-6x+5 \rvert + C. \)