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By using partial fractions, integrate the function: f(x) = (4-2x)/(2x+1)(x+1)(x+3)

(4-2x)/(2x+1)(x+1)(x+3) = A/(2x+1) + B/(x+1) + C/(x+3) 4-2x = A(x+1)(x+3) + B(2x+1)(x+3) + C(2x+1)(x+1) let x = -1: 4-2(-1) = B(2(-1)+1)((-1)+3) 6 = B(-1)(2) B = -3 let x = -3: 4-2(-3)= C(2(-3)+1)((-3)+1) 10...
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Answered by Oliver F. • Maths tutor
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Can you explain the Human Genome Project?

DNA sequencing technology has made great advancements in the recent years and allowed us to sequence bits of DNA. In other words, we now have the technology to determine the sequence of lengths of DNA at a n...
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Answered by Leila Y. • Biology tutor
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Who is the villain in Shakespeare's 'Othello'

In Shakepeare's Othello , the boundaries between the antagonist and protagonist are blurred, meaning that there is no definite villain or tragic hero. Iago is often seen as the typical villain as he displays...
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What is the 'genitive case'?

The genitive case is one of the 4 german cases, the others being nominative, accusative and dative. The genitive case is used to show possession - similar to using an " 's " in English, such as 'Th...
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Answered by Ryan F. • German tutor
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How do I use quotes in my essays?

When writing your essay, you need to have clear points for each section of your work. Plan, plan, plan! It really is the best thing to do. Now once you've done a brief plan, you'll be able to see the gaps wh...
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