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Using Mathematica, solve the following problems. Write out the answers on this sheet or print your Mathematica notebook. Your Lab TAs will require that you show them the Mathematica code used to solve the problems before they will accept your answers. In other words, you must prove that you know how to use Mathematica to solve these problems. 1. R x2 (x + 2x) dx 2. Generate a random integer between 1 and 10,000 3. d ln(x) dx 4. Rπ 5. R eiπ dx 6. R xCos(x) dx 7. R∞ 8. R 9. d x x dx 0 Sin(x)Cos(x) dx 2 −∞ 10. e−x dx ex Cos(x) dx R 2 √x x2 +4 dx 1