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I think it’s best I work through an example with you as these problems can vary quite a lot, but the general methods used are the same. Example: Use the substitution u=x 2 +5 to find: The integral of (x 3 /s...

Here you will deal with all problems of the same type in a very similar way. Intuition first tells us that we can’t really find the limit, as both the top (4x 2 +5), and the bottom (x 2 -6) parts of the frac...

Firstly, we need to consider what the term Homeostasis means: Homeostasis is defined as the maintenance of a stable internal environment. -The internal environment referred here in multi-cellular organisms l...

y = 5x 2 - 4/x 3 1/x can be written as x -1 , which means our equation can also be written as y = 5x 2 - 4x -3 . dy/dx means that we need to differentiate y in terms of x. To differentiate an equation, we ne...

x^2 + y^2 = 9 x + y = 2 1) Firstly look at the second equation which is the simplest and think how you can rearrange it to fit into the first equation: x + y = 2 can be rearranged to y = 2-x 2) y = 2-x can t...