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To integrate this we need to use the chain rule, substituting cos2x = u Integral becomes: u²sin³2x dxChain rule: dy/dx = du/dx dy/du du/dx = -2sin2x --> dx = -1/2sin2x du Substitu...

So first you need to multiply out the brackets so you can simplify the equation. Remember the acronym FOIL: First, Outer, Inner, Last.10w^2 + 35w - 12w - 42
And then you need to simplify
10w^2 +...

First we should draw what the question tells us.Draws circle with square inside it
We want to find out some extra information about the circle based on what we have been told.
How can w...

Differentiation is about the tangent at a point, from GCSE we have a formula to work out the gradient between two points, in other words, the gradient of the tangent. This means that as the two points get...

(a)   We can ‘get rid of’ a square root in the denominator simply by multiplying by 1 (value of the fraction stays unchanged) in a suitable form. We will take advantage of this formula: (a+b)(a-b)=a^2...