Question

Use trapezoids to approximate the area under the curve y = f(x) = 5sin(pix)+2.5cos(4pix) on the interval [0,1] using 10 equal subdivisions.

Answer 1

@freckles

Answer 2

@Luigi0210

Answer 3

I don't know how to find the area after drawing the trapezoids.

Answer 4

Actually I think I might have found the answer, but can you confirm for me. I believe it is 3.183. Is that correct?

Answer 5

Sure, one moment please :P

Answer 6

Thank you.

Answer 7

Hmmm, I got 3.1568.. but it was done by my calculators program.

Answer 8

Does that have a margin of error?

Answer 9

There are two possible answers: 3.157 and 3.183.

Answer 10

Did you use the formula for trap rule?

Answer 11

http://prntscr.com/6eqj5k

Answer 12

Why is it +2?

Answer 13

Actually I believe you are right. Thank you very much!

Answer 14

You're welcome, and sorry I couldn't explain it too clearly.. been awhile since I've done this :/