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For each of the integral below, determine whether it is an improper integral or not. Explain...
Question 2 please 1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x 14. (a In exercises 3-18, determine whether the integral converges or diverges. Find the value of the integral if it converges. 15. (a (b)人1x-4/3 dr 3, (a) l.lyMdx (b) x43 dx 16. (a 4. (a) 45 dx...
5. (-/1 Points) DETAILS LARCALC9 8.8.002. Decide whether the integral is improper. dx X4 proper improper Explain your reasoning. (Select all that apply.) The limits of integration are both finite. At least one of the limits of integration is not finite. The integrand is not continuous on (3,6). The integrand is continuous on [3, 6].
i. Explain why this definite integral is an improper integral. ii. Determine if this improper integral converges or diverges. Be sure to treat the improper integral with appropriate mathematical rigour. Simply treating the improper integral as if it was a proper integral will result in zero marks. Furthermore, make sure you clearly explain/justify each step in your limit analysis working. thanks for your answer, please give a clear writing. (b) Consider the definite integral 2 1 i. Explain why this...
We wish to determine by a comparison test whether or not the improper integral below is convergent. If it is convergent, we would like in addition to provide Question 2 an upper bound for its value. daz 1 point I= /25g5+91/2 Choose the correct reasoning 1/2 The integral is convergent since 25591/2> such that 0< for all: < 1 ,hence dr =4/9 1/4 1 1 and I 3z1/4 25z5 91/2 The integral is divergent since 25 9r 34 for all...
(1 point) Call an improper definite integral type 1 if it is improper because the interval of integration is infinite. Call it type 2 if it is improper because the function takes on an infinite value within the interval of integration. Classify the type(s) for each of the following improper integrals. ? 1. sec(x) dx 0 ? 2. $x2-3x+6° x2 - 5x + 6 1 ? 3. Loints dx -00 x2 00 ? 4. dx
Determine whether the improper integral diverges or converges x?In(x) dx converges diverges Evaluate the integral if it converges, and check your results with the results obtained by using the integration capabilities of a graphing it the quantity divergesenter DIVERGES)
x-5 dx. ) Evaluate the definite integral S 22-3x+2 Determine whether the improper integral S, dx converges. If convergent, find its value.
Determine whether the improper integral is convergent or divergent. 18 s dx (x + 1)2 2 Divergent O Convergent
Determine whether the improper integral x * ln(x) *dx convert or divergent. If it is con please evaluate
Determine if the improper integral converges. integral 0 to 2 π cosx/x dx