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Integration by parts should be used when you want to integrate a function composed of two factors (we can call them 'u' and 'dv'), where it is fairly easy to derive 'u', while it is difficult or impossibl...

Firstly we rearrange the expression to the required form:x² + y² + 20x - 14y + 49 = 0 which gives (x + 10)² - 100 + (y - 7)² - 49 + 49 = 0 and so ...

Firstly split up the ln(x/7) = ln(x) - ln(7) using rules of logarithms learnt in your first year of A-levels, as this will reduce any likely error.Secondly, recognise that the -ln(7) term is constant, and...

Firstly, you should check your syllabus to see what stipulations there are about the texts you are comparing. Does one have to be a poem, or pre-1900, do you have to compare two different mediums of texts...