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.
- A
- B
- C
- D
- E
Q2:
Express as the limit of Riemann sums.
- A
- B
- C
- D
- E
Q3:
Evaluate using the limit of Riemann sums.
Q4:
Express as the limit of Riemann sums.
- A
- B
- C
- D
- E
Q5:
Evaluate using the limit of Riemann sums.
- A
- B20
- C
- D
- E
Q6:
Evaluate using the limit of Riemann sums.
Q7:
Express as the limit of Riemann sums.
- A
- B
- C
- D
- 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.
- A
- B
- C
- D
- E