∫ lo g x d x =

Open MARKS Web Download App

Search any question & find its solution

Question: Answered & Verified by Expert

$\int \log x d x=$

MathematicsIndefinite IntegrationJEE Main

Options:

A $x+x \log x+c$
B $x \log x-x+c$
C $x^2 \log x+c$
D $\frac{1}{x} \log x+x+c$

Solution:

1644 Upvotes Verified Answer

The correct answer is: $x \log x-x+c$

$\int \log x d x=x \log x-\int x \cdot \frac{1}{x} d x+c=x \log x-x+c$
Note : Students should remember this question as a formula.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.

Use on iOS or Desktop Download from Google Play