Question

Calculus I Question!

"5.2: The Definite Integral"
"Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places."

Answer 1

\[\large{\int^{x}_{0}e^{x}\cos{x}dx}\]\[n=4\]

Answer 2

\(\huge \int^{n}_{0}\) ??

Answer 3

Eh?

Answer 4

an x or n there?

Answer 5

OH SHOOT! That's supposed to be a \(\pi\). LOL my bad

Answer 6

ohhhhh
that would make a ton more sense

Answer 7

\[\Large{\int^{\pi}_{0}e^{x}\cos{x}dx}\]\[n=4\]

Answer 8

:scrunches face:
I'm guessing n = number of rectangles they want us to use?

Answer 9

I think \(n=\text{sub-intervals}\)

Answer 10

yeahhh number of rectangles, basically

midpoints tho >.>
it's called midpoint, because the height is the middle of the rectangle

Answer 11

So basically like that last question, but using midpoint of the rectangle width?

Answer 12

base = pi/4
height = f( the midpoints )
f(x) being = e^x * cos(x)
yes :)

Answer 13

Hey, sorry for disappearing on you. I had to move rooms since my college has wonky closing hours for certain locations...

Not sure if you got my PM? @Angle

Answer 14

no worries ^_^
you know how to work through the rest? or are you still confused at some part? :3

Answer 15

I'm not sure right now... maybe get back to you later on that? ^^;

Answer 16

sure thing ^_^

Answer 17

Alright cool :D

*Medal system be trolling right now. D: