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we must integrate (4cos⁴ x-4cos² x+1)^1/2 factorise first ((2cos²x-1)²)^1/2this becomes (2cos²x-1)which equals cos 2xthe integral...

To approach a problem like this, we must first break down our number into a multiplication of prime factors (i.e. we can make our number by multiplying numbers 2,3,5,7 etc together). This is best done wit...

Quadratic equations are always given in the form ax² +bx +c. One way of solving (finding values of x) and therefore factorising is to use the ...

You make simultaneous equations. 1.) 3T+2C=7.82.) 5T+4C=14.2Then you make either the C or the T coefficient equal in both equations. I choose to make the C coefficients the same. So I multiplied equation ...

First we start off by seeing that we are multiplying together two functions both containing x, so we want to apply the product rule. As we know the product rule is (f(x)g(x))'=f(x)g'(x)+f'(x)g(x) so we ca...