How to Integrate ln(x)?

Integrating this expression is a simple trick. We use integration by parts. For this we need a function we can integrate and a function we can differentiate. We know how to differentiate ln(x) which is 1/x. Looking at the expression we could see it as 1*ln(x) hence we can use 1 as our other funciton of x. Using the integration by parts formula given in the formula booklet we get INT(ln(x)) = xln(x) - INT(1) = x(ln(x) -1)

JR

Related Maths A Level answers

All answers ▸

What is differentiation and how do I do it?


How do I differentiate a pair of parametric equations?


Given that f(x)= (3+x^2)(x^1/2-7x). Find f'(x) (5marks)


In a triangle ABC, side AB=10 cm, side AC=5cm and the angle BAC=θ, measured in degrees. The area of triangle ABC is 15cm(sq). Find 2 possible values for cosθ and the exact length of BC, given that it is the longest side of the triangle.