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