How to integrate lnX?

Firstly I would ask the student what different ways of integration do we know so far? After eliminating each possibility, such as the answer is not XlnX, as this differentiates via product rule, the student will attempt intégration by parts. Either with assistance or by themselves the student will realise that u= lnX and du/dx= 1, then the rest is followed by a normal integrating by parts question.This question not only introduces integrating by parts, but also introduces the possibility of having one of the parts = to 1.

SR
Answered by Siam R. Maths tutor

3429 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do you find a turning point of a function using differentiation?


Solve Inx + In3 = In6


1. A small stone is dropped from a height of 25 meters above the ground. i) Find the time taken for the stone to reach the ground ii) Find the speed of the stone as it reaches the ground


Solve the inequality x^2 – 5x – 14 > 0.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences