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This is the general format for the definite integral when typed directly into the
stack, i.e., ∫ (lower limit, upper limit, integrand, variable of integration)
Pressing ` at this point will evaluate the integral in the stack:
The integral can be evaluated also in the Equation Writer by selecting the entire
expression an using the soft menu key @EVAL.
Step-by-step evaluation of derivatives and integrals
With the Step/Step option in the CAS MODES windows selected (see Chapter
1), the evaluation of derivatives and integrals will be shown step by step. For
example, here is the evaluation of a derivative in the Equation Writer:
ʳʳʳʳʳ
Notice the application of the chain rule in the first step, leaving the derivative of
the function under the integral explicitly in the numerator. In the second step, the
resulting fraction is rationalized (eliminating the square root from the
denominator), and simplified. The final version is shown in the third step. Each
step is shown by pressing the @EVAL menu key, until reaching the point where
further application of function EVAL produce no more changes in the
expression.