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Reminder - a cartesian equation is written in terms of x and y (e.g. y = 2x + 3) while parametric equations are written with x and y separately in terms of t.

Example: Find the cartesian ...

Finding stationary points.

You can find stationary points on a curve by differentiating the equation of the curve and finding the points at which the gradient func...

Both the sine and the consine rule applies to any triangle, you do not necessary need a right angle! 

You can usually use the cosine rule when you are given two sides and the included ang...

Using integration by parts: split xcos(x) into x multiplied by cos(x). Differentiating x gives 1 and integrating cos(x) gives sin(x). The integral of xcos(x) can therefore be rewritten as xsin(x) - integr...

Integration by parts formula: ∫ udv/dx = uv - ∫ du/dxv dx

To solve this problem we need to use a trick by thinking of lnx as lnx1
So we can choose: u=lnx, dv/dx=1
...