**Learning objectives**

- Use Riemann sums to evaluate antiderivatives
- Evaluate integrals of rates using area under the rate curve
- Use antiderivatives to evaluate definite integrals
- Find simple antiderivatives algebraically

**Before class**

- Read Hughes-Hallett 5.5, 7.1
- Ponder problems 5.5. 10, 12; 7.1. 6,10,16, 20, 54, 56, 62.
- Consult the main points of the lesson

**In class**

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