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a) Integrate ln(x) by parts: u = ln(x), dv/dx = 1, du/dx = 1/x, v = x int(udv/dx) = uv - int(du/dx * v) = ln(x)/x - x so int(ln(x) + 1/x - x) = ln(x)/x - x + ln(x) + x^2 + Cb) y = ln(x)/x - x + l...

My best tip for exam preparation is to work your way through the course specification. This gives you the best understanding of exactly what you need to know for the exam, for example all the definitions ...

Since our function is a product of two "mini-functions" of x, we are able to use integration by parts.The trick for this is to correctly set 'u' and 'dv'. 'u' should be labelled as the function ...

Over the last 400 years, literary critics and actors have argued over the racial origins of Shakespeare’s Othello. Many believe the play to be, as Emma Smith confirms, ‘inevitably and inescapably...

Many components of the opening scene in King Lear introduce themes and issues that become apparent throughout the main plot of King Lear. One such component is the stress on the importance of language wit...