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If We Approximate 11x2+1dx\int_{1}^{\infty} \frac{1}{x^{2}+1} d x With 1b1x2+1dx\int_{1}^{b} \frac{1}{x^{2}+1} d x

Question 102

Multiple Choice

If we approximate 11x2+1dx\int_{1}^{\infty} \frac{1}{x^{2}+1} d x with 1b1x2+1dx\int_{1}^{b} \frac{1}{x^{2}+1} d x what value of b could we use to estimate the value of 11x2+1dx\int_{1}^{\infty} \frac{1}{x^{2}+1} d x with an error of less than 0.01? Of the following, select the smallest value of b that will work.


A) 50
B) 125
C) 250
D) 500

Correct Answer:

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