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Chapter 5: Q 13. (page 495)

Fill in the blanks to complete each of the following integration formulas.

鈭�lnxdx=_________

Short Answer

Expert verified

The result isxlnx-x+C.

Step by step solution

01

Step 1. Given information.

Consider the given integration.

鈭�lnxdx

02

Step 2. Find the integration.

Apply the by-parts integration method. Consider the values as u=1and v=lnx.

鈭�lnxdx=xlnx-鈭�x1xdx=xlnx-鈭�dx=xlnx-x+C

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