Mathematics OpenStudy (anonymous):

Find the area of the region between y=X^2-2x and the x axis for the interval from 0 to 2. OpenStudy (anonymous):

Integrate [f(x) - g(x)] on the given interval (in this case g(x) = 0 because it's the x axis): $\int\limits_{0}^{2} (x ^{2}-2x) dx$ $[(x ^{3}/3)-(2x ^{2}/2)]$ (from 0 to 2, I don't know how to make the editor do stacked #'s) $[((2)^3/3))-(2)^2] - $ OpenStudy (anonymous):

thank you! OpenStudy (anonymous):

ok same question but the second part is to find the area for the interval from 0 to 3 OpenStudy (anonymous):

Same method, just plug "3" in for x instead of 2 in the last step: $[((3)3/3))−(3)2]−$ OpenStudy (anonymous):

Oops, that came out all wrong! Here it is again: $[((3)^3/3))−(3)^2]−$ OpenStudy (anonymous):

yea for some reason i'm getting the wrong answer :S this method should give me 0 right? OpenStudy (anonymous):

No, it should equal some number greater than or equal to 0, since it's an area (you can get negative if the area is below the x-axis). So for the first one: $[((2)^3/3))−(2)^2]− = [(8/3) - 4] = -4/3$ It's probably should have made it more clear that f(x) = (x^2-2x) and g(x) = 0. Sorry if that was confusing!

Latest Questions Grimmcake: what is the hardest key to turn?
5 minutes ago 7 Replies 1 Medal Grimmcake: what can run but cannot walk?
10 minutes ago 10 Replies 1 Medal Grimmcake: what is white when its dirty?
13 minutes ago 3 Replies 1 Medal Grimmcake: what has a bank but no money?
17 minutes ago 4 Replies 1 Medal Grimmcake: what has a ring but no finger?
19 minutes ago 2 Replies 1 Medal Icyhot: What can be broken but never held?
24 minutes ago 21 Replies 2 Medals NemoEmo: 2+4+3+4+3366734+6356*246735*248434/243734=?
24 minutes ago 4 Replies 1 Medal jkmiec26: How do I make a group chat now that I have a sub?
50 minutes ago 18 Replies 1 Medal SniperMask: does this look good? tell me what i need to improve pls TwT
21 minutes ago 15 Replies 0 Medals Aubree: Who knows what a Elf on the Shelf is and if u do, do u have good names for both a
1 hour ago 2 Replies 0 Medals