Answer: Integration by parts Use integration by parts to

Chapter 7, Problem 54E

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QUESTION:

Integration by parts Use integration by parts to evaluate the following improper integrals.

\(\int_{1}^{\infty} \frac{\ln x}{x^{2}} d x\)

Questions & Answers

QUESTION:

Integration by parts Use integration by parts to evaluate the following improper integrals.

\(\int_{1}^{\infty} \frac{\ln x}{x^{2}} d x\)

ANSWER:

Step 1 of 4

Method of integration by parts:

To evaluate the integral, first we need to assign u and dv.

For this integrand, we take .

Calculating
du and v, we get

.
 

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