### All GRE Subject Test: Math Resources

## Example Questions

### Example Question #1 : Simpson's Rule

Solve the integral

using Simpson's rule with subintervals.

**Possible Answers:**

**Correct answer:**

Simpson's rule is solved using the formula

where is the number of subintervals and is the function evaluated at the midpoint.

For this problem, .

The value of each approximation term is below.

The sum of all the approximation terms is therefore

### Example Question #1 : Numerical Approximation

Solve the integral

using Simpson's rule with subintervals.

**Possible Answers:**

**Correct answer:**

Simpson's rule is solved using the formula

where is the number of subintervals and is the function evaluated at the midpoint.

For this problem, .

The value of each approximation term is below.

The sum of all the approximation terms is therefore

### Example Question #2 : Numerical Approximation

Solve the integral

using Simpson's rule with subintervals.

**Possible Answers:**

**Correct answer:**

Simpson's rule is solved using the formula

where is the number of subintervals and is the function evaluated at the midpoint.

For this problem, .

The value of each approximation term is below.

The sum of all the approximation terms is therefore

### Example Question #2 : Simpson's Rule

Solve the integral

using Simpson's rule with subintervals.

**Possible Answers:**

**Correct answer:**

Simpson's rule is solved using the formula

where is the number of subintervals and is the function evaluated at the midpoint.

For this problem, .

The value of each approximation term is below.

The sum of all the approximation terms is therefore

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