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Formula for Riemann Sum is:
interval is [1,3] so a = 1, b = 3
f(x) = 3x , sub into Riemann sum
Continue by simplifying using properties of summations.
Now you have an expression for the summation in terms of 'n'.
Next, take the limit as n-> infinity.
The limit of
goes to 0, therefore the limit of the summation is 12.
The area under the curve from [1,3] is equal to limit of summation which is 12.
interval is [1,3] so a = 1, b = 3
f(x) = 3x , sub into Riemann sum
Continue by simplifying using properties of summations.
Now you have an expression for the summation in terms of 'n'.
Next, take the limit as n-> infinity.
The limit of
The area under the curve from [1,3] is equal to limit of summation which is 12.