In this problem File Preview (a) Use the Midpoint Rule to approximate each integral. (b) Estimate the error in using the approximation. Express the answer rounded to three decimal places. (c) Find the number
n
of subintervals needed to guarantee that an approximation is correct to within 0.0001 . (I)
\int_((\pi )/(2))^(\pi ) (sin(x))/(x)dx;n=4
(II)
\int_0^6 e^(x^(2))dx;n=3

Question

In this problem File Preview (a) Use the Midpoint Rule to approximate each integral. (b) Estimate the error in using the approximation. Express the answer rounded to three decimal places. (c) Find the number

n

of subintervals needed to guarantee that an approximation is correct to within 0.0001 . (I)

\int_((\pi )/(2))^(\pi ) (sin(x))/(x)dx;n=4

(II)

\int_0^6 e^(x^(2))dx;n=3

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