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e^x=u-1 so e^3x=(u-1)³ and du/dx = e^x so rearranging gives dx=e^-x du Substituting all that information in the integral we get Integral ( (u-1)^...

as there are 25 CD's in one box, then we would multiply by 14 to know the total number of CD's, we use multiplication as it is quicker than adding 25 14 times. I would then show the column multiplication ...

Factorising takes the form of (x+a)(x+b) where in this case: a+b = 4 anda*b=4this is taken from the original equations coefficient to x and the constant value.factorising gives (x+2)(x+2) which is ...

I like this question because it can be broken down into parts, each which contain an important reminder/lesson for an A level/GCE maths student. I would start the lesson by running through the rules of in...

cos(30) x tan (60) + sin (30) = (√3)/2 x √3 + 1/2 = 3/2 + 1/2 = 4/2 = 2