Chapter 4  Numerical Differentiation and Integration

 

Riemann Integral

 

, .

, where , .

 

If ,  is called right Riemann sum.

If ,  is called left Riemann sum.

The definite integral of  over  is defined as

.

 

 

References:

【1】             L. I. Holder, J. DeFranza and J. M. Pasachoff, Calculus, Brooks/Cole, Pacific Grove, 1998.