Lower sum/ upper sum

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Homework Statement



Give the upper sum for f(x)=4-x2 on the interval [-1,1] with respect to the partition P{ -1, -0.5, 0.5, 1]

Give the lower sum for f(x)=4-x2 on the interval [-1,1] with respect to the partition P{ -1, -0.5, 0.5, 1]


Homework Equations





The Attempt at a Solution



How do I do this again? Lower sum should be the area under the curve. You'd just integrate then on the interval given (-1,1) ? Also don't know anymore how to do upper sum.
 

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LCKurtz
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Homework Statement



Give the upper sum for f(x)=4-x2 on the interval [-1,1] with respect to the partition P{ -1, -0.5, 0.5, 1]

Give the lower sum for f(x)=4-x2 on the interval [-1,1] with respect to the partition P{ -1, -0.5, 0.5, 1]


Homework Equations



You might try writing the definition of upper and lower sum with respect to a partition here.

The Attempt at a Solution



How do I do this again? Lower sum should be the area under the curve.
No, it would not.
You'd just integrate then on the interval given (-1,1) ?

No.

Also don't know anymore how to do upper sum.

Apparently not. Start by writing the definitions. They will be in your text.
 
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