It’s 42 lolllllllllllllllll
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.
A function has a vertical asymptote where it is not defined, and the logarithm is defined only if its argument is strictly positive: it has a vertical asymptote if its argument is zero, and is not defined if its argument is negative.
So, you have a vertical asymptote where