671 views

### How do you solve the integral of ln(x)

This will use the process of integration by parts.

First, notice that ln(x)=ln(x)*1.

So, the integral of ln(x) is the integral of ln(x)*1. The process of integration by parts is;  int(v*du/dx)dx=vu - int(dv/dx*u)dx.

Set ln(x)=v, 1=du/dx, so int(ln(x)*1)dx = ln(x)*x - int(1/x*x)dx = x*ln(x)-int(1)dx = x*ln(x)-x+constant.

And you're done!

2 years ago

Answered by Yaniv, an A Level Maths tutor with MyTutor

## Still stuck? Get one-to-one help from a personally interviewed subject specialist

#### 306 SUBJECT SPECIALISTS

£20 /hr

Jacob F.

Degree: Mathematics (Bachelors) - Warwick University

Subjects offered:Maths, German+ 2 more

Maths
German
Further Mathematics
-Personal Statements-

“2nd year Maths undergrad with enhanced DBS (CRB) certification and experience teaching in secondary schools and at University. Fluent German speaker.”

£22 /hr

Samuel J.

Degree: Physics (Masters) - Manchester University

Subjects offered:Maths, Physics

Maths
Physics

£30 /hr

Michelangelo M.

Degree: MMath Mathematics with Placement (Masters) - Bath University

Subjects offered:Maths, Italian+ 4 more

Maths
Italian
Further Mathematics
Computing
.STEP.
.MAT.

Yaniv P.

Currently unavailable: until 22/12/2015

Degree: Mathematics (Masters) - Bristol University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“First year Maths undergraduate at the University of Bristol. Looking to tutor Maths and Physics at GCSE and A-Level.”

MyTutor guarantee

### You may also like...

#### Posts by Yaniv

Finding the derivative of a polynomial.

How do you invert a 2x2 matrix?

How do you solve the integral of ln(x)

How to determine the number of unique real roots of a quadratic equation.

#### Other A Level Maths questions

Find the set of values for x for which x^2 - 9x <= 36

What is the integral of sin^2(x)?

differentiate y=e^2x

Differentiate x^2+4x+9.

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this.