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Integrate (x-5)/(x+1)(x-2) using partial fractions

We need to split the initial fraction into two. We know that (x-5)/(x+1)(x-2) is equivalent to A/(x+1) + B/(x-2). Multiplying by (x+1)(x-2) we get x-5 = A(x-2) + B(x+1). Expanding the brackets gives x - 5 = ...
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Answered by Joshua A. • Maths tutor
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How does Patrick Süskind use religion to criticise society in 'Perfume: The Story of a Murderer'

Patrick Süskind frequently uses religious references in order to disparage society and the value it places on outmoded conventions. One way he does this is by highlighting the importance placed on virginity ...
Answered by • English Literature tutor
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Why do rays of light change direction as they pass from air to a glass block?

Light travels as waves which have a distinct set of properties: a speed, a frequency and a wavelength. These properties are related to each other through the following equation: speed = frequency * wavelengt...
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Answered by Lisa C. • Physics tutor
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Define antibodies and antigens, and describe the different ways in which the body develops immunity.

Immunity is the capacity of the body to recognise the intrusion of disease-causing microorganisms (pathogens) and develop a response to fight infection. Antigens and antibodies are crucial to the process of ...
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Answered by Charlotte B. • Biology tutor
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What is Utilitarianism?

On a simple level, utilitarianism is the belief that the morally right thing to do in any situation is to maximise the greatest happiness for the greatest number of people. A good example of this idea in pra...
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