# Worksheet: Riemann Sums and Sigma Notation

In this worksheet, we will practice using sigma notation with Riemann sums to find the area under a curve.

**Q1: **

Represent the area under the curve of the function on interval in sigma notation using right Riemann sums with subintervals.

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**Q3: **

Compute the right Riemann sum for on , given that there are four subintervals of equal width.

**Q4: **

Compute the left Riemann sum for on , given that there are six subintervals of equal width. Approximate your answer to nearest two decimal places.

**Q5: **

Compute the right Riemann sum for on , given that there are four subintervals of equal width. Approximate your answer to the nearest three decimal places.

**Q6: **

Represent the area under the curve of the function in the interval in sigma notation using a right Riemann sum with subintervals.

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**Q7: **

Represent the area under the curve of the function on the interval in sigma notation using a right Riemann sum with subintervals.

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**Q8: **

Represent the area under the curve of the function on the interval in sigma notation using a right Riemann sum with subintervals.

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**Q10: **

Represent the area under the curve of the function on the interval in sigma notation using a right Riemann sum with subintervals.

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**Q11: **

Write the midpoint Riemann sum approximation in sigma notation of the area under the curve of the function on the interval with subintervals.

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**Q12: **

Write the midpoint Riemann sum approximation in sigma notation of the area under the curve of the function on the interval with subintervals.

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**Q13: **

Write the left Riemann sum approximation in sigma notation of the area under the curve of the function on the interval with subintervals.

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**Q14: **

Write the left Riemann sum approximation in sigma notation of the area under the curve of the function on the interval with subintervals.

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**Q15: **

Write the midpoint Riemann sum approximation in sigma notation of the area under the curve of the function on the interval with subintervals.

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**Q16: **

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**Q17: **

Write the left Riemann sum approximation in sigma notation of the area under the curve of the function on the interval with subintervals.

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**Q18: **

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**Q19: **

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**Q20: **

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