Several mathematical functions encountered in engineering are difficult to integrate analytically.

Numerical techniques such as Riemann sums are used to approximate the integrals to high degrees of

accuracy using a computer. The Riemann sum is computed by adding several rectangles between the

lower and upper limits of the integral. The width of each

rectangle, dx$,$ is constant and defined using the number of

rectangles, n$.$ The height of each rectangle is the value of

the function at current x$-$location. The sum of the areas of

all rectangles is the Riemann sum.