How do you integrate the natural logarithm ln(x)?

To integrate this function, we must first recognise that ln(x) can be treated as 1 multiplied by ln(x). Using this knowledge, we can apply the 'integration by parts method' to integrate the function.Formula: I(u.v') = (u.v) - I(u'.v)Using this formula, treating 1 as v' and ln(x) as u in the function to be integrated, we obtain the indefinite integral result of x.ln(x) - x.

AA
Answered by Andrew A. Maths tutor

3052 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

(x+2)(x-3)


How do I expand a bracket to a negative power if it doesn't start with a 1.


Differentiate(dx) xy+4y-13


Use Integration by parts to find ∫ xsin3x dx


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences