Given the function f(x)=1/x

Question

Given the function f(x)=1/x use 4 rectangles and evaluation on the left to aproximate the area ∫3 1/x  dx

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Answer 1

I do not know what you mean by "use 4 rectangles and evaluation on the left", but the value of the integral is

 

∫₂³ dx/x = ln(x)|₂³ = ln3 - ln2 = ln(3/2)