TABLE OF CONTENTS In this chapter we are going to consider the main mathematical operations of numeric differentiation and integration.
In terms of calculation, integration ( see Section 7.1), and differentiation ( see Section 7.2) are the simplest operations implemented in Mathcad in the form of operators. Still, if the calculations are performed using a numeric processor, it is necessary to have a sound understanding of the numeric algorithms, specific features and details of which remain invisible for the user. In the same sections ( see Sections 7.1 and 7.2) we are also going to mention specific features of symbolic differentiation and integration.
Integration in Mathcad is implemented in the form of a numeric operator. It is possible to calculate integrals of scalar functions within specified integration limits (which must also be scalar). Despite the fact that integration limits must be real numbers, the integrand must take complex values, therefore integral values can also be complex. If integration limits have dimension ( see Section 4.2, "Dimensional Variables," in Chapter 4), it must be the same for both limits.
Integration and differentiation operations, like most other mathematical operations, are implemented in Mathcad according to the What You See Is What You Get (WYSIWYG) principle. To calculate a definite integral, you need to enter its mathematical formula into the document. This can be done by clicking the button labeled by the integral sign on the Calculus toolbar, or by pressing the
