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This question may start by giving you an equation, which you need to write in the form of the standard equation of a circle (usually by completing the square). This allows you to see the centre of the ...

A: x³/3 + 3ln(x) + A.

Step-by-step solution:

Integral (x²+3/x dx) =

[as integrals preserve sums]

integral ...

If we apply a function and then its inverse, we should get back to where we started. 

Suppose we start with an element x. If we apply f to it, we get to x+2. In order to get back to where...

This is often overlooked as no-one gives a reason to why this is and is often stated as a fact. We start off with the basic indice law of x^y * x^z = x^y+z.
For example,...

Trigonometric identities are sometimes tricky, as they are very hard to distinguish one from another. The best way of doing it is obviously by practising, but one thing I always find helpful is to give...