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To do this question you would use the FOIL method. This is short for 'First, Outside, Inside, and Last'. First you multiply the first two values (the x's) from each bracket, then you multiply the outside ...

47.5 units^2The area underneath the curve bound by the axis being integrated with respect to (i.e. x axis)

2f-1=a

When tackling this question you cannot simply multiply what is in the bracket as this this is not fully expanded. First you must rewrite it as (x-2)(x-2). From here we can on expand the brackets by multip...

The product rule is used to differentiate this since we are trying to differentiate the product of 2 parts--x and ln(x)So using the product rule which is d/dx=u.(dv/dx) +v.(du/dx)let u=x and v=ln(x)then d...