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How to factorise any quadratic expression

Factorising quadratic equations This method is used for the following factorable expression: ax 2 +bx+c Although this method is particularly useful with quadratic expressions with a≥2, it can be also used wh...
AP
Answered by Adil P. Maths tutor
6090 Views

How do I integrate ln(x)

This is an integral many people struggle with, but, with a simple trick it becomes a little more straight forward. We will approach this integral using integration by parts. But what are the parts? Well, we ...
TM
Answered by Tom M. Maths tutor
5930 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 - in...
YP
Answered by Yaniv P. Maths tutor
5291 Views

How do I find the integral ∫(ln(x))^2dx ?

This problem is all about using integration by parts, so let's start by quoting the formula for integration by parts: ∫u*(dv/dx)dx = uv - ∫v*(du/dx)dx To get the integral we want on the left hand side we can...
SC
Answered by Samuel C. Maths tutor
12372 Views

How do I find the root of a quadratic equation?

Usually the easiest way to find the root of a quadratic is to factorise it so you have something a form similar to - (x+2)(x-1)=0. From here you need to find a value for x that makes each bracket equal to ze...
NF
Answered by Nicky F. Maths tutor
6203 Views