Write a value

Question:

Write a value of $\int \frac{(\log x)^{n}}{x} d x$.

Solution:

let $\log x=t$

Differentiating on both sides we get,

$\frac{1}{x} d x=d t$

Substituting above equations in $\int \frac{(\log x)^{n}}{x} d x$ we get,

$\int t^{n} d t$

$=\frac{t^{n+1}}{n+1}+c$

$=\frac{(\log x)^{n+1}}{n+1}+c$

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now