



 
Hi Morag, Let's just look at the last one since both can be solved the same way. First let's look at the described area you are trying to find In math whenever someone is trying to find the area of a curve they use an integral. In simple terms an integral is the area of the region by the graph of ƒ, the xaxis, and the vertical lines x = a and x = b. It can be written as So for your equation (it makes the question easier if you distribute): Integrals are also known as antiderivatives (the opposite of derivatives). If f'(x)=x^{2}(2x), what could f(x) be? Once f(x) is determined, find f(2)f(0). Hope this helps, Janice  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 