Integrating equations – HP 35s Scientific Calculator User Manual

Page 135

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Integrating Equations

8-1

8

Integrating Equations

Many problems in mathematics, science, and engineering require calculating the
definite integral of a function. If the function is denoted by f(x) and the interval of
integration is a to b, then the integral can be expressed mathematically as

The quantity I can be interpreted geometrically as the area of a region bounded by
the graph of the function f(x), the x–axis, and the limits x = a and x = b (provided
that f(x) is nonnegative throughout the interval of integration).

The

operation (∫

FN) integrates the current equation with respect to a specified

variable (∫

 d_). The function may have more than one variable.

=

b

a

dx

(x)

f

I

f (x)

b

x

a

I

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