# AP Calculus AB : Trapezoidal sums

## Example Questions

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### Example Question #37 : Trapezoidal Sums

Use the trapezoidal rule to approximate the following integral:

Explanation:

The trapezoidal rule for approximating a definite integral is given by

Using the above formula to approximate our integral, we get

### Example Question #38 : Trapezoidal Sums

Solve using the trapezoidal approximation:

Explanation:

The trapezoidal approximation of a definite integral is given by the following:

Using this approximation for our integral, we get

### Example Question #39 : Trapezoidal Sums

Solve the integral using the trapezoidal approximation:

Explanation:

To approximate the definite integral using the trapezoidal rule, we use the following approximation:

For our integral, we get

### Example Question #40 : Trapezoidal Sums

Approximate the integral using the trapezoidal rule: