Area of Region w/ bounds, TI-89 syntax/method

In summary, the TI-89 calculator has a built-in function for finding the area of a region with bounds. The syntax for this is "area(f(x), x = a, x = b)", where f(x) represents the function and a and b represent the lower and upper bounds, respectively. The calculator can also calculate the area for multiple bounds by using the appropriate syntax for each bound, separated by a comma. However, there are limitations to using the calculator, such as only being able to calculate for continuous and integrable functions and potential inaccuracies for functions with multiple discontinuities within the bounds. It is recommended to double check the result by hand in these cases.
  • #1
McFailboat
1
0
Hello,

I'm struggling to figure out the syntax/method (on a TI-89) for finding the area of a curve bounded by the x and y-axis (and the curve) in a particular quadrant.

Respectfully submitted,
McFail
 
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  • #2
I'm sorry you are not finding help at the moment. Is there any additional information you can share with us?
 

1. What is the syntax for finding the area of a region with bounds on a TI-89 calculator?

The syntax for finding the area of a region with bounds on a TI-89 calculator is "area(f(x), x = a, x = b)", where f(x) represents the function and a and b represent the lower and upper bounds, respectively.

2. Can the TI-89 calculator automatically calculate the area of a region with bounds?

Yes, the TI-89 calculator has a built-in function for finding the area of a region with bounds. Simply enter the appropriate syntax and the calculator will automatically calculate the area for you.

3. How do I input the bounds on a TI-89 calculator?

To input the bounds on a TI-89 calculator, you can either use the "x = a" and "x = b" notation in the syntax, or you can use the "a,b" notation after the function like this: "area(f(x), a, b)". Both methods will yield the same result.

4. Can the TI-89 calculator calculate the area of a region with multiple bounds?

Yes, the TI-89 calculator can calculate the area of a region with multiple bounds. Simply use the appropriate syntax for each bound, separated by a comma. For example, to find the area of a region between x = 2 and x = 5, and between x = 7 and x = 10, the syntax would be "area(f(x), x = 2, x = 5, x = 7, x = 10)".

5. Are there any limitations to using the TI-89 calculator for finding the area of a region with bounds?

The TI-89 calculator can only calculate the area of a region with bounds for functions that are continuous and integrable. Additionally, if the function has multiple discontinuities within the bounds, the calculator may not give an accurate result. It is always recommended to double check the result by hand if there are any concerns about the accuracy.

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