AP Calculus BC : Trapezoidal Sums

Study concepts, example questions & explanations for AP Calculus BC

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : Trapezoidal Sums

Approximate

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

Possible Answers:

Correct answer:

Explanation:

The interval  is 1 unit in width; the interval is divided evenly into five subintervals  units in width. They are 

.

The trapezoidal rule approximates the area of the given integral  by evaluating 

,

where 

and 

.

So

Example Question #2 : Trapezoidal Sums

Approximate

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

Possible Answers:

Correct answer:

Explanation:

The interval  is  units in width; the interval is divided evenly into four subintervals  units in width. They are 

.

The trapezoidal rule approximates the area of the given integral  by evaluating 

,

where 

,

,

and 

.

So

 

Example Question #3 : Trapezoidal Sums

Approximate

using the trapezoidal rule with . Round your estimate to three decimal places.

Possible Answers:

 

Correct answer:

Explanation:

The interval  is 4 units in width; the interval is divided evenly into four subintervals  units in width - they are .

The trapezoidal rule approximates the area of the given integral  by evaluating 

,

where , and 

.

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: