Unformatted text preview: Repeat parts (i) through (v) of Question A but using this new f(x). Question C: Recall from our Chapter 7.7 homework the integral: integral of sqrt(1+(b*x/a)^2 * 1/(a^2-x^2) ) dx from x=0 to x=a. Does the integral converge? If not, does it diverge to +infinity, -infinity, or just wiggle? If it does converge, you do NOT need to find its value. (you could see what Wolfram Alpha has to say about it, though) Question D: Compute: (i) the integral from x=e to 10 of 1/(x*ln(x)) dx (hint: u-sub) (ii) the integral from x=e to 10^5 of 1/(x*ln(x)) dx (iii) the integral from x=e to 10^25 of 1/(x*ln(x)) dx (iv) the integral from x=e to 10^125 of 1/(x*ln(x)) dx (by the way, 10^125 is huge! The # of atoms in the universe is somewhere around 10^80) (v) Are these results converging or diverging?...
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This note was uploaded on 09/08/2011 for the course MATH 121 at Eastern Michigan University.