# Lesson Worksheet: Area under the Curve and Integration Mathematics

In this worksheet, we will practice using rectangles to estimate the area under the curve of a function and using a definite integral to find it.

**Q1: **

Evaluate using the limit of Riemann sums.

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**Q2: **

Express as the limit of Riemann sums.

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**Q3: **

Evaluate using the limit of Riemann sums.

**Q4: **

Express as the limit of Riemann sums.

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**Q5: **

Evaluate using the limit of Riemann sums.

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- B20
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- E

**Q6: **

Evaluate using the limit of Riemann sums.

**Q7: **

Express as the limit of Riemann sums.

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- E

**Q8: **

Evaluate using the limit of Riemann sums.

**Q9: **

Evaluate by taking the limit of Riemann sums.

**Q10: **

Without evaluating the limit, express as a limit of Riemann sums.

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