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 ▸Q15 from Senior Mathematical Challenge 2018: A square is inscribed in a circle of radius 1. An isosceles triangle is inscribed in the square. What is the ratio of the area of this triangle to the area of the shaded region? (Requires Diagram))
Find the solutions to x^3+4x^2+x-5=1
Evaluate gf(-5) for the functions f(x)=3x+7, g(x)=3x^2+6x-9
The mass, m grams, of a substance is increasing exponentially so that the mass at time t hours is m=250e^(0.021t). Find the time taken for the mass to double in value.