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Firstly. Recognise which method you should use to approach this question. In this case, you can find the stationary point of a curve where its gradient is 0 i.e. at a point where the grad...

To work out the shaded area, we first need to calculate the area of the square and the area of the circle. The shaded area is equal to the area of the circle minus the area of the square.
The area of...

(a)This question actually tells us what to do. It is very hard to miss "use logarithms to solve...". So our first step is going to be to use logs (espec...

STEP 1 Cannot integrate directly in this form, therefore use a trigonometric identity. Identity: sin(A) + sin(B) = 2sin((A+B)/2)cos((A-B)/2) STEP 2 (A+B)/2 = 3x             A + B = 6x   (1) (A-B)/2 = 5x  ...

We can think of the constant term in a function in terms of x, for example in x^2 + 3x + 2 as 2 being multiplied by x^0. Anything to the power of 0 is equal to one, so in our example we would have 2 * x^ ...