# 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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Q2:

Find the lower Riemann sum approximation for on , given that subintervals.

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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• E

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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• E

Q9:

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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• E

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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• D
• E

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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• E

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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• B
• C
• D
• E

Q16:

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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• B
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• E

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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• E

Q18:

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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• E

Q19:

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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• B
• C
• D
• E

Q20:

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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• B
• C
• D
• E