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Such an integral looks difficult to manage; clearly it is a case of integration by parts, but neither part of the product appears to reduce easily into a nicer form.

The key here is use t...

When do you use n choose k?

Say you have n objects/elements, and each one can either be selected or not selected. ‘n choose k’ gives yo...

To find the mean you must add all of the numbers together (2+5+6+12+5) and divide by how many numbers you have in your data set (5). Mean = 30 : 5 = 6

To find the median you must f...

When we factorise, we do so to make the expression more simple. Factorising is when we take common factors from the expression and group them together, and then multiply these common factors by somethi...

p(x)=x³+2x²-5x-6

      =x(x²+2x-5)-6

      =x(x²+2x+1-6)-6 as we know (x+1)²=x²+2x+1,5 can be expressed 1-6...