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When faced with a question like this, the aim is to work out the value of "x". What this question basically means is "what number can we multiply by 2 and add 1 onto it to get 11. There a f...

When integrating a function which can be defined as a combination of two functions, it can be difficult to tell whether or not to use by parts. We can spot when to use by parts if we look at the composite...

First you would figure out how many bags of sweets Adam made, this would be done by converting 4kg into grams (x1000) so 4 x 1000 = 4000g. Then you would divide the 4000g by 250g to see that 16 bags of sw...

The point of using a substitution when dealing with integrals is to reduce the problem from a very complicated integral to a simplistic one. How can we achieve this with our integral? Well, we know that w...

The factor theorem states that if (x+a) is a factor of f(x), then f(-a)=0. This basically means that if (x+a) is a factor of f(x), then when (x+a)=0, f(x)=0, i.e. when x=-a, f(-a)=0. Our (x+a) in this cas...