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A geometric series is a series with a constant ratio between successive terms.

An inverse function is a function that "reverses" another function. That is, if f is a function mapping x to y, then the inverse function of...

The question gives you a hint on how to go about this question - Factorise!!

1) Factorise the left hand side. Find the two numbers which will add to give -8 and multiply ...

To answer this question you need to use the quotient rule. dy/dx = (vu' - uv')/v².

^{U = cos(x) which differentiates to -sin(x) so u'= -sin(x)}

^{v = x...}

This question is asking us to split up the fraction into two separate fractions.To begin we use one of the standard forms for solving partial fractions, this is (A/(X+1))+(B/(X+2)).To solve set the first ...