1. The problem statement, all variables and given/known data A modified form of the trapezium rule for calculating the area under a curve makes use of strips of varying width: by using narrower strips where the gradient varies more rapidly, better accuracy can be achieved. Create a function to perform the integral [tex]\int1/x dx[/tex] between 1 and 101 using the trapezium rule with strips that increase geometrically in width, such that, [tex]\Delta[/tex]Xn=rn-1[tex]\Delta[/tex]X1 where [tex]\Delta[/tex]Xn is the width of the nth strip and r is a constant (which is an input to the function). Choose the value of Δx1 to give a total of 100 strips for any value of r (hint: you will need the formula for the sum of a geometric progression to calculate Δx1). 2. Relevant equations 3. The attempt at a solution Not sure where to start really, I mean a simple application of the trapezium rule to it would be simple enough. Define a vector x=[1:1:101] and then y=1./x and integral=trapz(x,y) or something along those lines (I don't have access to MATLAB from home so I couldn't be sure). Any point in the right direction would be much appreciated.