Solved: The improper integral 0 f (x) dx cannot be converted into an integral with
Chapter 4, Problem 4(choose chapter or problem)
The improper integral 0 f (x) dx cannot be converted into an integral with finite limits using the substitution t = 1/x because the limit at zero becomes infinite. The problem is resolved by first writing 0 f (x) dx = 1 0 f (x) dx + 1 f (x) dx. Apply this technique to approximate the following improper integrals to within 106. a. 0 1 1 + x4 dx b. 0 1 (1 + x2)3 dx 5
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