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.

Question

nathanjhw · Answer

attachment

nathanjhw · Answer

@freckles

nathanjhw · Answer

@Luigi0210

nathanjhw · Answer

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

nathanjhw · Answer

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

luigi0210 · Answer

Sure, one moment please :P

nathanjhw · Answer

Thank you.

luigi0210 · Answer

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

nathanjhw · Answer

Does that have a margin of error?

nathanjhw · Answer

There are two possible answers: 3.157 and 3.183.

luigi0210 · Answer

Did you use the formula for trap rule?

luigi0210 · Answer

nathanjhw · Answer

Why is it +2?

nathanjhw · Answer

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

luigi0210 · Answer

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