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Integration by parts is used when you would like to find the integral of a composite function made up of two functions of the same variable as which you're integrating with respect to. 

T...

Label the equations (1): 2x + 3y = 4 (2): 3x + 6y = 3We need the same number of x's or y's in the equations, so multiply (1) by 3 and (2) by 2 giving (3): 6x + 9y = 12 (4): 6x + 12y = 6Subtract (3) from (...

Skew lines in 3 dimensions are those which are not parallel and do not intersect.

Let's take two example lines: l₁ = (2, 2, -1) + λ(3, 1, -3) and l₂ = (1, 0, 1) + µ(...

We need two numbers, a and b, such that a*b = 2 and a+b=3Looking at the equation it can be seen that 2 and 1 fulfill these conditions.Therefore x² +3x +2=0        = (x+2)(x+1)=0This means we ne...

Often quadratic equations of the form ax²+bx+c=0 can be easily solved by factorising. First, find pairs of numbers that multiply t...