Use the Midpoint Rule to find the approximation M4 for the integral ?_e^{e^2} 1/ln(t) dt. Give your answer rounded to four decimal places. Estimate the errors in this approximation. How large do we have to choose n so that the approximation Mn to ?_e^{e^2} 1/ln(t) dt is accurate to within 0.0001?
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First, we need to find the integral of dt * ln(t). We can rewrite this as the integral of ln(t) dt. Show more…
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