The trapezoidal approximation of ∫ sin x dx from 0 to pi using 4 equal subdivisions of the interval of integration is

a) pi/2

b) pi

c) (pi/4)(1+sqrt(2))

d) (pi/2)(1+sqrt(2))

e) (pi/4)(2+sqrt(2))

Answer: C

Please show all your work.

The trapezoidal approximation of ∫ sin x dx from 0 to pi using 4 equal subdivisions of the interval of integration is

a) pi/2

b) pi

c) (pi/4)(1+sqrt(2))

d) (pi/2)(1+sqrt(2))

e) (pi/4)(2+sqrt(2))

Answer: C

Please show all your work.

Tutors, please sign in to answer this question.

Olney, MD

The trapezoidal approximation for the definite integral of f(x) between the points a and b is:

T_{n} = [(b-a)/2n][f(x_{0})+2f(x_{1})+2f(x_{2})+2f(x_{3})+...+f(x_{n})]

Where a and b are the limits of the integration and n = the number of trapezoids used in the estimate. In your case:

f(x)= sinx

a=x_{0}=0, b=x_{n}=pi, n=4

T_{4} = (pi/8)[sin(0)+2sin(pi/4)+2sin(pi/2)+2sin(3pi/2)+sin(pi)]

Solve for T_{4}

Christopher A.

Tutor Expert in ACT, SAT, Math, Writing, Excel, Study Skills and More

Far Rockaway, NY

5.0
(612 ratings)

Jennifer C.

Experienced Educator Specializing in Test Prep and Enrichment

Brooklyn, NY

5.0
(74 ratings)

Kevin T.

A Laid Back Tutor who Specializes in Math, Science, and Test Prep

Caldwell, NJ

4.8
(60 ratings)

- Math 9409
- Math Word Problem 4269
- Math Help For College 1361
- Math Problem 978
- Math Question 777
- Math Equations 942
- Algebra 4928
- Word Problem 4965
- Mathematics 552
- Algebra 2 3301