Question
Find the minimum number of intervals required to evaluate with an accuracy of
by using the Trapezoidal rule.
Answer :
Word Count : 301
We are asked to estimate the minimum number of intervals $n$ needed to evaluate the integral $$ \int_0^1 e^{-x^2} dx $$ using the Trapezoidal Rule, such that the error is less than $$ \frac{1}{2} \times 10^{-4} = 5 \times 10^{-5}. $$ --- ### Step 1: Trapezoidal Rule Error Formula For a function $f(x)$, the error bound for the Trapezoidal Rule ____ ________ _________ ___ _____ ____ _________ _____ ____.
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We are asked to estimate the minimum number of intervals $n$ needed to evaluate the integral $$ \int_0^1 e^{-x^2} dx $$ using the Trapezoidal Rule, such that the error is less than $$ \frac{1}{2} \times 10^{-4} = 5 \times 10^{-5}. $$ --- ### Step 1: Trapezoidal Rule Error Formula For a function $f(x)$, the error bound for the Trapezoidal Rule ____ ________ _________ ___ _____ ____ _________ _____ ____.
____ ____ _________ __________ _______ ____ _________ _____ ________ ____.
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