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For example, y = 3x3 + 9x2 + 2. Determine the stationary points and their nature.
Let's remind ourselves what a stationary point is, and what is meant by the ...
We know that having cos and sin functions in a question is going to cause us problems - we need a single function of x. So, step 1, we need to rewrite sin or cos in terms of the other. How do we choose wh...
First, we must understand what the FOIL method is.
FOIL is an ancronym that we use to help us remember the steps when expanding brackets.
F - first
O - outer
I - inner
Theory
Problems like this need to be broken down into steps: i) Factorise, ii) solve and iii) check. The aim of this question is to find values of ...
We know from trigonmetric identities that cos(2x) = 2cos^2(x) -1, therefore cos^2(x) = 0.5(1+cos(2x)).
Subbing this in gives the following integrand: 0.5(1+cos(2x))sin(2x).
We can now split ...
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