Question

If teh integral of (x^2-6x+9) dx from 0 to 4 is approximated by 4 inscribed rectangles of equal width, teh approximation is? The answer choices are 14, 10, 6, 5, and 4

Answer 1

Try graphing it first, then draw the rectangles under the curve and see where that gets you.

Answer 2

since this is a mc question it wud take 2 long to draw graphs...how do u do it mathmatically

Answer 3

Well, you could just solve the integral and get 29/3, so you can probably figure out what the approximation is from there. But for future problems, you should really learn how to draw it quickly since that would help enormously. Good luck.

Answer 4

i cant use a calcualtor for mc questions....so i need to do it mathematicaly..how do i do it with rimean sum

Answer 5

28/3, sorry.

Answer 6

but thats not any of teh answer choices...its 14, 10, 6, 5, or 4

Answer 7

i need to et those answer sum how

Answer 8

i want to know how 2 use rieman sum or w.e method for this

Answer 9

Okay, well you should see if I gave you 28/3 the closest approximation is 10, so that's your answer. If you want to solve it for yourself and you had to do a Riemann sum you should ask yourself what approximation you want to use, a left, right, or middle. This is where drawing a quick picture would come in handy, so you could actually see the rectangles for your sum.

From there, you could make it really easy on yourself and just find the area of each rectangle on your interval and set up your sum and find the approximation.

Answer 10

yeah i get 10....i see now