### All AP Calculus BC Resources

## Example Questions

### Example Question #1 : Riemann Sum: Midpoint Evaluation

Approximate

using the midpoint rule with . Round your answer to three decimal places.

**Possible Answers:**

**Correct answer:**

The interval is 4 units in width; the interval is divided evenly into four subintervals units in width, with their midpoints shown:

The midpoint rule requires us to calculate:

where and

Evaluate for each of :

So

### Example Question #1 : Riemann Sum: Midpoint Evaluation

Approximate

using the midpoint rule with . Round your answer to three decimal places.

**Possible Answers:**

Cannot be determined

**Correct answer:**

The interval is 1 unit in width; the interval is divided evenly into five subintervals units in width, with their midpoints shown:

The midpoint rule requires us to calculate:

where and

Evaluate for each of :

### Example Question #1 : Riemann Sum: Midpoint Evaluation

Approximate

using the midpoint rule with . Round your answer to three decimal places.

**Possible Answers:**

None of the other choices are correct.

**Correct answer:**

The interval is units in width; the interval is divided evenly into five subintervals units in width, with their midpoints shown:

The midpoint rule requires us to calculate:

where and

Evaluate for each of :

Since ,

we can approximate as

.

### Example Question #31 : Numerical Approximations To Definite Integrals

**Possible Answers:**

**Correct answer:**

### Example Question #1 : Riemann Sum: Midpoint Evaluation

**Possible Answers:**

**Correct answer:**

### Example Question #1 : Riemann Sum: Midpoint Evaluation

**Possible Answers:**

**Correct answer:**

### Example Question #1 : Riemann Sum: Midpoint Evaluation

**Possible Answers:**

**Correct answer:**

### Example Question #31 : Integrals

**Possible Answers:**

**Correct answer:**

### Example Question #141 : Ap Calculus Bc

**Possible Answers:**

**Correct answer:**

### Example Question #31 : Integrals

**Possible Answers:**

**Correct answer:**