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The area can be found using a definite integral.
Integral from 0 to 5 of [3x² ] = [x]⁵₀ = 5 - 0 = 5

Below is the solution to the aforementioned question. In order to solve a simultaneous equation, one has to write one of the unkown variables in terms of the other. In this case, x was already written in ...

a) The gradient of a line is given by the equation (change in y)/(change in x). Therefore to find the gradient of the line in part a we must do (12-9)/(3-0) = 1. Now we have the gradient we can use the fo...

First it's helpful to write f(x) = (x^0.5)ln(x)The product rule is useful here, this may be written in the form (u(x)v(x))' = u(x)v'(x) + u'(x)v(x).Here we will take u(x) = x^0.5 and v(x) = ln...