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First, recall that when integrating, squared trigonometric functions often cause issues. Therefore, use the identity: cos^2(x) = (cos(2x) + 1)/2 to remove this power, giving the integral: ∫ (xcos(2x))/2  ...

So the aim of simultaneous equations like this, are to figure out the value of x and y. The first thing you have to decide is which one to figure out first. You have to make both 'x' values or both 'y' va...

(Question from AQA A level maths specimen papers) When looking at this question, you need to appreciate the steps required in order to reach the final answer before diving straight in. Firstly, the questi...

To solve this question we will first have to think of how we can solve something with two variables. The most common method is through elimination where we remove a variable so then we have an expression ...

Step 1: multiply (5sqrt(3)-6)/(2sqrt(3)+3) by (2sqrt(3)-3)/(2sqrt(3)-3) (this is a trick called CONJUGATION as you're really just multiplying the fraction by 1. Step 2: Expand and ...