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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. \( \tfrac{1}{2} \ln \lvert x^2-6x+5 \rvert + C. \)