Techniques of integration, Substitution or change of variables, Techniques of integration ,13-18 – HP 50g Graphing Calculator User Manual
Page 453: Substitution or change of variables ,13-18
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Page 13-18
Techniques of integration
Several techniques of integration can be implemented in the calculators, as
shown in the following examples.
Substitution or change of variables
Suppose we want to calculate the integral
. If we use step-by-
step calculation in the Equation Writer, this is the sequence of variable
substitutions:
This second step shows the proper substitution to use, u = x
2
-1.
The last four steps show the progression of the solution: a square root, followed
by a fraction, a second fraction, and the final result. This result can be
simplified by using function
@SIMP, to read:
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