Estimate the minimum number of subintervals needed to approx. the integral ∫ 0 1 x d x .with an error of magnitude less than 10 − 4 by a) trapezoidal b) Simpson's?

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Estimate the minimum number of subintervals needed to approx. the integral      ∫    0    1    x    d  x  .with an error of magnitude less than       10          −      4       by a) trapezoidal b) Simpson&#039;s?

Aliana Sexton · Accepted Answer

HINT:The question is:a) find the   n-th trapizoidal term       T    n   such that            |            ∫    0    1    f  (  x  )     d  x  −      T    n              |        &amp;lt;      10          −      4       Try: error estimates for the trapezoid rule.b) find the   n-th Simpson&#039;s term       S    n   such that            |            ∫    0    1    f  (  x  )     d  x  −      S    n              |        &amp;lt;      10          −      4      Try: error estimates for the Simpson&#039;s rule.

Estimate the minimum number of subintervals needed to approx. the integral <msubsup> &#x22

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