Question

The area under f(x) = 2x – 3 on the domain 3 ≤ x ≤ 7 is?

Answer 1

Do not tell me the answer, I know the answer. I just want to know how to do the problem.

Answer 2

integrate the function over the specified interval

Answer 3

\[\int\limits_{3}^{7}(2x-3)\,dx\]

Answer 4

i'm assuming you're in calculus. are you?

Answer 5

AP calculus :| Something I very much regret.

Answer 6

oh, come on now... you'll do great. do your best to keep a good attitude .

Answer 7

Lol, I try. Passed the first semester with a B-, so I'll manage somehow. Anyways, is there some type of formula to go by?

Answer 8

do you know how to integrate that?

Answer 9

Not exactly

Answer 10

okay, i'll help you with this and then i'll pass along some "cheat sheets" which will hopefully make your life a little better! ;)

first off, we're gonna break this up because the function is a sum (or difference).

\[\int\limits_{3}^{7}(2x-3)\,dx = \int\limits_{3}^{7}2x\,dx-\int\limits_{3}^{7}3\,dx = \left[\frac{2x^2}{2}-3x\right]_{3}^{7}\]

Answer 11

Then what happens...? Lol. I'm sorry, I'm very slow when it comes to math so please be patient with me.

Answer 12

evaluate at the points...
\[(7^2-3(7))-(3^2-3(3))\]

Answer 13

(49 - 21) - (9 - 9) = 28

Answer 14

Thank you!!

Answer 15

check out this link. it's where i go the sheets from.

http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx

Answer 16

These sheets will come in handy. Appreciate your help. :)

Answer 17

no worries!