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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...
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 ...
So you are asked to find the inverse of a function f(x). The inverse function is denoted by f -1(x). To help with this we can use the identity f(f -1(x))=x. Now,...
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