Search over 10,000 free study notes

(sinx)^2 (similarly to (cosx)^2) cannot be integrated in this form. There is a standard method to get past this though, which makes use of the cos double angle formula:cos(2x) = (cosx)^2 - (sinx)^2 = 1 - (si...

First look at the constant coefficient, which in this case is 2. You need two numbers which will multiply together to make this number. The only pairs of numbers that will make 2, are (1 and 2) or (-1 and -2...

Method First Look for a term (i.e x , y, z) which is in all the compoents Also look if there is a possible common factor that the compoents share Soloution ​x is a shared term , and 2 is a common multiple Th...

In this question I would initially aim to get an a on both sides of the equation. My first step would be to multiply both sides by (4-a) to do this. After this point I would expand out the brackets on the le...

ax 2 +bx+c=0 : basic quadratic equation a(x 2 + bx/a) + c=0 a((x+b/2a) 2 - b 2 /4a 2 ) + c=0 (retain equation with only one x variable; compensate for b term squared out with term - b 2 /4a 2, ) a(x+b/2a) 2 ...