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Integrate 1/u(u-1)^2 between 4 and 2

Please see this document which contains a scanned copy of my answer.https://docs.google.com/document/d/1A9idRZsUAy5QMLSJNDQEun-l7mSEjpRLx_Jwx44JoqY/edit?usp=sharing

Answered by Maths tutor
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What evidence proves that the Y chromosome determines maleness?

Evidence that the Y chromosome determines maleness can be proved through analysis of individuals with chromosomal abnormalities. For example, a female has XX and a male has XY, but an individual with an a...

Answered by Biology tutor
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Analyse the arguments in favour of retaining the First-Past-the-Post system for elections to the House of Commons.

An answer starts by explaining the First-Past-the-Post (FPTP) system as electing members to one-member districts by single-plurality, in 650 districts ('constituencies' in the UK) across the country. FPTP...

NB
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How do I remember what trig functions differentiate to?

You need to remember some ‘rules’:if it has the ‘co-‘ prefix, the derivative will be negative (e.g. cos x -> -sin x)if it has the ‘-sec’ suffix, the derivative will only include itself (e.g. cosec x -&...

Answered by Maths tutor
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solve the following definite integral by decomposition into partial fractions: \int_{1}^{2}{\frac{1}{x^2+x}}dx

\frac{1}{x^2+x}=\frac{A}{x} + \frac{B}{x+1}, 1=A(x+1)+Bx, let x=-1: 1=-B, B=-1let x=0: 1=A, A=1Hence, \int_{1}^{2}{\frac{1}{x^2+x}dx} = \int_{1}^{2}{\frac{1}{x}dx} - \int_{1}^{2}{\frac{1}{x+1}dx}=[ln(x)-l...

Answered by Maths tutor
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