Question

Approximate the area under the curve on the given interval using n rectangles and the indicated evaluation rule. y = x^2on [-1, 1], n = 8, left-endpoint evaluation.

Answer 1

your interval has length 2, so each part will have length \(\frac{2}{8}=\frac{1}{4}\)

Answer 2

left hand endpoints will be
\[-1,-.75,-.5,-.25,0,.25,.5,.75\]

Answer 3

your job is now to square these, add them up, and multiply by \(.25\)

Answer 4

okay thanks!

Answer 5

yw