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Integrate (x+3)/(x(x-3)) with respect to x

The easiest way to solve this is to split the fraction into partials.Using partial fractions, we get A/(x-3)+B/x=x+3/(x(x-3)) implies Ax+B(x-3)=x+3We want to find the values of A and B that solve this, so we...
RS
Answered by Robin S. • Maths tutor
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How do I explain that the breakdown of an ester is a hydrolysis reaction?

The breakdown of any product using water is called a hydrolysis reaction. Ester + Water ---> Alcohol + Carboxylic acid An ester splits into alcohol and carboxylic acid during its reaction with water, maki...
MU
Answered by Mamie U. • Chemistry tutor
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(A-level but box won't let me change it from GCSE) A particle of charge q and initial speed v is stopped by a potential difference V in distance d and time t. What was its initial momentum?

Define p=momentum, E=electric field.Firstly we know that:1) ∆p/∆t = F - definition of momentum2) F = Eq - force on particle in an electric field caused by a voltage3) E = V/d - definition of electric field o...
GT
Answered by Greta T. • Physics tutor
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Describe the Darwinian theory of natural selection (GCSE/A-Level)

Every individual of every species living on the planet has DNA, made up of sections called genes. Mutations to these genes occur over time, resulting in a change to an individual's behaviour or physiology. T...
BD
Answered by Bill D. • Biology tutor
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Prove that the square of an odd number is always 1 more than a multiple of 4. [Edexcel Higher Tier 2018, Paper 1: Question 12]

We want to start with “the square of an odd number” and show something. Remember that any odd number can be expressed as 2n+1 (an even number is 2n, and any odd number is 1 larger than an even). So squaring ...
RH
Answered by Robert H. • Maths tutor
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