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f(x) = (x-5)/(x^2+5x+4), express this in partial fractions and hence find the integral of f(x) dx between x=0 and x=2, giving the answer as a single simplified logarithm.

f(x) = (x - 5) / (x + 4)(x + 1) let f(x) = A / (x + 4) + B / (x + 1) so (x - 5) / (x + 4)(x + 1) = A / (x + 4) + B / (x + 1) then multiplying by (x+4)(x+1), we get ...

Answered by Toby S. • Maths tutor

3412 Views

Evaluate the view that sociology can be studied as a science.

The founding fathers of sociology, who are commonly referred to as the early positivists Emile Durkheim (1858-1917) and Auguste Comte (1798-1857) believed that sociology could be studied scientifically an...

Answered by Cheila C. • Sociology tutor

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How are polynucleotide DNA strands held together? (3 marks)

The two antiparallel strands of DNA are held together by hydrogen bonds joining the bases of each complementary nucleotide; Adenine is held to Thymine by 2 hydrogen bonds, and Guanine to Cytosine by 3 hyd...

Answered by Srishti A. • Biology tutor

8195 Views

How to effectively answer 'evaluation' essay questions? (example Q-"Evaluate Portman's use of instrumentation, melody and harmony in the music for 'The Duchess', in relation to the film's historical subject matter.) )

Before writing the essay It is essential to roughly plan your essay, which will provide effective framework to your ideas and analysis. Write down three other relevant musical work...

Answered by Henrietta M. • Music tutor

8859 Views

What's the best way to improve my English grade?

Close reading! The easiest and most straight forward way to improve your English grade is to get to grips with analysis. With both GCSE and A Level, the fastest way to climb the marking criteria is showin...

Answered by Emilia K. • English Literature tutor

3844 Views