Evaluate the following integral:

We use integration by parts, defining

First, we recall that was computed in Example 2 on p. 235 of Apostol which gave

Then we have,

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Stumbling Robot

A Fraction of a Dot
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Find the integral of * (log x)*^{2}

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Evaluate the following integral:

We use integration by parts, defining

First, we recall that was computed in Example 2 on p. 235 of Apostol which gave

Then we have,

Please give easy way to solve it

Not satisfied by this solution please solve it in easy way that can be understood easily using formula

( “|” it willl be the sign of integration because there is no actual sign of integratio in mobile phones so please be understood)

Formula:-

u|vdx-(|du/dx |vdx) dx

This formula is given in elements maths of 12th class.

Thank You

Nitesh Pandey

This is the easiest way I guess

Ans is x(logx)^2 – x logo – x