Question: Find the integral of the equation 2x+1 from 0 to 3 using Riemann Sums.
Please show me how to do this, I keep on getting 9 as the answer, but it is actually 12.
Then that's the same as the actual integral if $\displaystyle n \Rightarrow \infty$. Cause that means that $\displaystyle dx \Rightarrow 0$.
So, take the actuall integral and you get:
$\displaystyle \int_0^3 2x + 1\, dx = x^2 + x$ between 0 and 3.
$\displaystyle = 3^2 + 3 - (0^2 + 0)$