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**1. Homework Statement**

estimate int 1/ln x between 2 and 4

well i thought that for this to work you would have to integrate first and then find f(4) - f(2)

but how come right now we are learning about using the midpoint, left, right, trap and simpson rule.

but instead of integrating it first they are just using the equation without integrating first??

also for int 1/ln x between 2 and 4 using one of the estimating methods(ex. right) is there any way to do this problem without a calculator??