Can someone check my answers for the following problems dealing with the area between curves, using definitive Integrals? I know how to do the problems so I don't need help there, (unless I'm say, getting them all wrong... etc.) but am wanting to be sure of the process. Unfortunately there aren't answers to the problems on the assignment I'm doing my textbook, so I turn to the never-failing OS. Any takers out there?
1. f1(x) = (-x^2 + 4x + 2)
f2(x) = (x^2 - 3x + 2)

2. f1(x) = x
f2(x) = ((x^2)/4)

3. f1(x) = sinx
f2(x) = cosx

Any and all help is greatly appreciated! :)

Question

Can someone check my answers for the following problems dealing with the area between curves, using definitive Integrals? I know how to do the problems so I don't need help there, (unless I'm say, getting them all wrong... etc.) but am wanting to be sure of the process. Unfortunately there aren't answers to the problems on the assignment I'm doing my textbook, so I turn to the never-failing OS. Any takers out there? 
1. f1(x) = (-x^2 + 4x + 2)
    f2(x) = (x^2 - 3x + 2)

2. f1(x) = x
    f2(x) = ((x^2)/4)

3. f1(x) = sinx
    f2(x) = cosx

Any and all help is greatly appreciated! :)

anonymous · Answer

first one, gotta find where they intersect
you get that?

amonoconnor · Answer

Here are the limits (upper, lower; corresponding as first and second intersection points) for all of them:
1. 0, 3.5
2. 0, 2 (this one wants only the area up y=1) 
3. pi/4, 5pi/4

Here are MY answers: 
1. -30.625 units^2
2. 5/6 units^2
3. (sqrt.2) units^2
a few moments ago

Does anyone get the same?

amonoconnor · Answer

I know this is kind of asking a lot, to work through taking the anti-derivatives, and solving for the areas, but I would really like to know if I'm doing these right. Thank you so much for taking the time to do this!! :)