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When dealing with complex numbers and trigonometric functions, always turn to DeMoivre's Theorem that states [cos(θ)+isin(θ)]ⁿ = [cos(nθ)+isin(nθ)]. If we set n=2, the we see a combina...

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Here we need to make a U sibstitution. So we take (x+3) and make this equal U so we now have the integral of u^1/2   . dx

In order to s...

• The pluperfect, much like the passé composé, is a compound tense (i.e. made up of two parts). The first is the auxiliary verb (avoir or être) and the second is the past participle. For this example,...

Henry VII is credited with a successful rule due to the way in which England was able to develop; from a financially ruined, isolated, politically divided country after the War of the Roses, to a financia...

Coketown is a fictional industrial city in Charles Dicken’s novel, Hard Times. He wrote it as a protest against industrialization, which he considered harmful to nature and to the human spirit an...