User Manual

61
uu
uu
uTo perform an integration calculation
Example To perform the integration calculation for the function shown
below, with a tolerance of “tol” = 1E - 4
∫
1
5
(2x
2
+ 3x + 4) dx
Input the function
f (x).
AK4(CALC)4(∫dx)cvx+dv+e,
Input the start point and end point.
b,f,
Input the tolerance value.
bE-e)w
• In the function f(x), only X can be used as a variable in expressions. Other
variables (A through Z, r, θ ) are treated as constants, and the value currently
assigned to that variable is applied during the calculation.
• Input of “tol” in Gauss-Kronrod Rule, “n” in Simpson’s Rule, and closing
parenthesis with both rules can be omitted. If you omit “tol”, the calculator
automatically uses a value of 1E - 5. In the case of “n”, the calculator automati-
cally selects the most appropriate value.
• Integration calculations can take a long time to complete.
kk
kk
k Application of Integration Calculation
• Integrals can be used in addition, subtraction, multiplication and division.
∫
a
b
f (x) dx +
∫
c
d
g(x) dx, etc.
• Integration results can be used in addition, subtraction, multiplication and
division, in functions.
2 ×
∫
a
b
f(x) dx, etc. log (
∫
a
b
f(x) dx), etc.
• Functions can be used in any of the terms ( f(x), a, b, n) of an integral.
∫
cos 0.5
(sin x + cos x) dx =
∫
(sin x + cos x, sin 0.5, cos 0.5, 5)
sin 0.5
• Note that you cannot use a Solve, differential, quadratic differential, integration,
maximum/minimum value or Σ calculation expression inside of an integration
calculation term.
Integration Calculations 3 - 4