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Improper integrals
These are integrals with infinite limits of integration. Typically, an improper
integral is dealt with by first calculating the integral as a limit to infinity, e.g.,
∫
∫
∞
→
∞
=
ε
ε
1
2
1
2
lim
x
dx
x
dx
.
Using the calculator, we proceed as follows:
Alternatively, you can evaluate the integral to infinity from the start, e.g.,
Integration with units
An integral can be calculated with units incorporated into the limits of
integration, as in the example shown below that uses ALG mode, with the
CAS set to Approx mode. The left-hand side figure shows the integral typed
in the line editor before pressing
`
. The right-hand figure shows the result
after pressing
`
.
