Compute the value of the following improper integral if it converges. If it dive

Question

Compute the value of the following improper integral if it converges. If it diverges, enter INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise (hint: integrate by parts). 4 ln(x)/x4 dx 4/25 Determine whether (4 ln(n)/n4) is a convergent series. Enter C if the series is convergent, or D if it is divergent. C Note: You can earn partial credit on this problem. Preview Answers Submit Answers You have attempted this problem 9 times. Your overall recorded score is 0%. You have unlimited attempts remaining.

Explanation / Answer

for the integral substitute lnx= u then integral is modified as , 4*u*e^-3u.du , integrating this we get (-4/9x)*(1+3lnx) , on substituting the limits we get value of integral =9, the second part is a converging series.

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