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We can explain this by taking a simple power equation such as 2³ = 8 and setting each number as an unknown variable. For instance 2³ = x is solved by cubing 2, x³ = 8 is s...

1. you cannot integrate cos^2(4x) without making substitutions first. Use the cos^2(x) + sin^2(x) = 1 identity with the cos(2x)=cos^2(x)-sin^2(x), rearrange to get the identity cos(2x) = 2cos^2(x) - 1,...

Using simple trig identities, we know tan^2(A) + 1 = sec^2(A).Substituting for sec^2(A) into our equation, we get: tan^2(A) + 1 = 3 - tan(A).Moving this over to one side, we get the quadratic in terms of ...

Although the unseen poetry section of an exam can seem intimidating, in my experience I've found it useful to begin by annotating the poem, and then using these annotations to structure your commentary. T...

A common way to structure paragraphs is to follow PEE, or ‘point, evidence, explanation.’ First, we start with our ‘point,’ or the statement of our argument. This should be 1 or 2 sentences long. This tel...