(1) Approximate x²dx using (a) left endpoints, (b) right endpoints, (c) midpoints and n = 1000 partitioning intervals. Explain what technology you used in the estimate. Fill out this table. approximation error type left right midpoint

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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**Question:**

1. Approximate \(\int_0^1 x^2 \, dx\) using (a) left endpoints, (b) right endpoints, and (c) midpoints with \(n = 1000\) partitioning intervals. Explain what technology you used in the estimate. Fill out this table.

| type    | approximation | error |
|---------|---------------|-------|
| left    |               |       |
| right   |               |       |
| midpoint|               |       |
Transcribed Image Text:**Question:** 1. Approximate \(\int_0^1 x^2 \, dx\) using (a) left endpoints, (b) right endpoints, and (c) midpoints with \(n = 1000\) partitioning intervals. Explain what technology you used in the estimate. Fill out this table. | type | approximation | error | |---------|---------------|-------| | left | | | | right | | | | midpoint| | |
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To find the left  , right endpoint and midpoint.

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