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(See whiteboard for step by step process) First, we write down the function we want to integrate (3x 2), and include the limits at the top and bottom of our integration sign to show that it's a definite inte...

This differentiation requires use of the chain rule. The first step is to differentiate the whole thing, treating the bracket as u, so u=1+2x 2 . Therefore we are differentiating u 1/2 . This means our first...

First thing to do is to find the stationary point of the curve. This is done by differentiating the function and then equating to zero, as the gradient of the stationary point is zero. Setting dy/dx to zero ...

We first use the identity sin 2 x+cos 2 x=1 to substitute for sin^2 in terms of cos. sin^2(x)=1-cos^2(x) -------------> -4cos^2(x)+8cosx-3=0 We use the standard quadratic formula to solve for cos(x): cos(...

A1) Showing that (x+2) is a factor of f(x). General Method: If A is a number, then (x- A) is a factor of f(x) if when x=A, f(x=A)=0 <-- This is what we want to show This is because if (x-A) is a factor of...