**Integral**

The Casio Algebra FX2.0 can compute both indefinite and definite integrals.

**Integrals from the CAS Screen**

Press
**MENU 9** to access the CAS screen. Press **F2**
to access the CALC menu, then press 2 to select **2:** . This pastes the (
prompt in the entry line of the home screen. Use the syntax (expression,variable).
For example, we determine (4*x** *^{4} + 3*x*)d*x*.
In the entry line after the ( prompt, enter:

**4 X ^ 4 + 3 X , X ) EXE**

Hence, . Note that you need to supply the constant of integration.

For a definite integral, simply add the lower and upper limits of integration.
For example, to integrate this function from 1 to 3, enter (4X^4+3X,X,1,3). The
answer 998/5 is displayed. For a decimal approximation to an exact answer, press
**F1** to access the TRNS menu, highlight **B:approx** and press **EXE**,
then press **SHIFT ANS** (located above the (-) key) **EXE**.

**Definite Integral from the RUN-MAT Screen**

The definite integral also can be computed from either the RUN-MAT screen or from the GRPH-TBL screen.

Press
**MENU 1** to access the RUN-MAT screen. Press
**OPTN** to view the math options. Press **F4** to access the CALC menu.
Press **3** to select **3:****dx**. This pastes the ( prompt in the
entry line of the home screen. Use the syntax (expression,variable,lower,upper)
where lower (upper) is the lower (upper) limit of integration.

For example, we determine . In the entry line after the ( prompt, type:

SHIFT( X + 1 ) , X , 1 , 5 ) EXE

Hence, .

To compute a definite integral from the graph screen, first enter the integrand
function into the equation editor. We illustrate by computing the above definite
integral. Press **MENU 3** to access the GRPH-TBL
screen. Enter the function as Y1, then press **F5** to select DRAW. After the
graph is drawn, press **F4** to select the G-SLV (graph solve) menu. Press
**8** to select **8:****dx**. The screen displays LOWER, a prompt for
the lower limit of integration. Enter the lower limit of integration (here, **1**),
then press **EXE**. The screen displays UPPER,
a prompt for the upper limit of integration. Enter the upper limit of integration,
(here, **5**) then press **EXE**. The area
between the curve and the *x*-axis is shaded and the definite integral is
given.