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The key to answering this question is to recognise that a common substitution of u=sin(x) wont work straight away so we must write the integral in a different form. Knowing that cos(2x)=1-2sin^2(x), the sin^...

1/4sin(2x) + x/2 + c

All the cells in our body communicate constantly with their surrounding environment in order to feed and excrete their wastes. Various substances in that environment pass through the cell membrane to enter o...

That is the million dollor question! Making a personal statement (A 4,000 character) document stand out can be difficult. One point that I cannot stress enough is being yourself, from beginning to end you ne...

y=e^x When we derive, the power is brought down to the front - e.g. 2e^2x. Once this has been reached, you must normally remember to reduce the power by 1. However, with the exponentials, the power remains t...