quartz/content/Obsidian Vault/Approximation.md

#math/calculus

approximate an integral

these are cool because these functions can approximate any integral, even if the integration cannot be calculated by hand. imo, this is how every integral should be done, since we have so many computers.

trapezoidal

!

error formula

|E_T|=\frac{k(b-a)^{3}}{12n^{2}}

midpoint

!

error formula

|E_M|=\frac{k(b-a)^{3}}{24n^{2}}