Upper & Lower Sums for f(x)=4-x2 on [-1,1]

[XodoX]

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.

 

[LCKurtz]

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.