# Evaluating Definite Integral and Differentiation Scientific Calculator | Casio fx-991MS

TLDRIn this video, learners are guided on how to solve definite integrals and perform differentiation using the Casio fx-991MS calculator. The video demonstrates solving integrals, including polynomials, square roots, and trigonometric functions, and emphasizes that only definite integrals can be calculated with this model, using Simpson's Rule. For differentiation, it calculates results at specific points. The importance of switching between degree and radian modes for accurate trigonometric functions is highlighted. The video offers step-by-step instructions, practical examples, and tips for efficient use of the calculator.

### Takeaways

- 🧮 Use Casio fx-991MS to solve definite integrals and differentiation.
- 📐 Only definite integrals can be solved, not indefinite integrals.
- 📉 Simpson's rule is used for calculating definite integrals.
- 🔢 The calculator provides results in fraction, decimal, and mixed fraction forms.
- 📘 To solve an integral, press 'integral dx', input the function, and specify the limits.
- 🔄 Use 'AC' to clear previous entries and start a new calculation.
- 🔢 For cubic polynomial integration, input the polynomial and the limits, then press '=' for the result.
- 📊 Simpson's rule can be applied by specifying the number of intervals after the limits.
- 📚 Switch to radian mode for trigonometric calculations by pressing 'mode' until '2' appears.
- ✏️ Edit questions using arrow and del keys, and calculate results by pressing '='.

### Q & A

### What is the main topic of the video?

-The video teaches how to solve integration and differentiation using the Casio fx-991MS scientific calculator.

### What type of integrals can be solved with the Casio fx-991MS calculator?

-The calculator can only solve definite integrals using Simpson's rule.

### How do you start solving an integral on the Casio fx-991MS calculator?

-You press the integral dx button, then input the function within brackets, and finally input the lower and upper limits.

### What is the result of the first example given in the video?

-The result of the first example is 1.5, which can also be displayed as a fraction (3/2), a decimal, or a mixed fraction (1 1/2).

### How does the calculator handle cubical polynomial integration?

-The calculator requires you to input the polynomial, followed by the lower and upper limits, and then press the equal button to get the result.

### What is Simpson's rule and how is it used in the calculator?

-Simpson's rule is a method for numerical integration. The calculator uses it to approximate the definite integral by allowing you to input the number of intervals if desired.

### How do you switch the calculator to radian mode for trigonometric calculations?

-You press the mode key four times and then press 2 to switch to radian mode.

### What is the result of integrating cos^2(x) from 0 to pi/2 in radian mode?

-The result of integrating cos^2(x) from 0 to pi/2 in radian mode is approximately 0.7855398163.

### How can you perform differentiation on the Casio fx-991MS calculator?

-You use the shift integral dx button and input the function followed by the point at which you want the derivative evaluated.

### What is the importance of setting the correct mode (radians or degrees) for trigonometric functions?

-Setting the correct mode ensures accurate results for trigonometric functions, as the calculator will use the appropriate unit for the calculations.

### How can you edit a question on the calculator to find the derivative at a different point?

-You can use the left arrow key to navigate and edit the point at which the derivative is evaluated.

### Outlines

### 📚 Introduction to Calculus with Casio fx 991ms

This paragraph introduces viewers to solving integration and differentiation problems using the Casio fx 991ms scientific calculator. The presenter demonstrates how to solve definite integrals using Simpson's rule and how to perform differentiation at specific points. The process involves pressing the integral dx button, inserting the function, and specifying the limits of integration. The calculator provides results in various forms such as fraction, decimal, and mixed fraction. The presenter also shows how to solve integrations of polynomials and roots, emphasizing the use of the Alpha button to insert variables and the importance of closing brackets correctly. The example of integrating a cubic polynomial within limits 1 and 3 is given, resulting in an answer of 80.

### 🕒 Simpson's Rule and Interval Input

In this paragraph, the presenter explains the use of Simpson's Rule for calculating definite integrals and how to manually input the number of intervals for more precise results. The process involves editing the question with arrow and del keys and pressing the equal button to wait for the result. An example of finding the integration of cos^2(x) is given, with a special mention of switching to radian mode for trigonometric calculations. The presenter also demonstrates how to perform differentiation, using the last example to show the importance of radian mode for accurate results.

### 🔍 Modes and Differentiation Examples

The final paragraph focuses on the importance of using the correct mode for trigonometric functions, specifically radian mode, to ensure accurate differentiation results. The presenter provides an example of differentiating a trigonometric function and shows how to switch between radian and degree modes. The process of editing the differentiation point is demonstrated, highlighting how to use the left arrow key to change the point and obtain a new result. The paragraph concludes with a call to action for viewers to share and subscribe to the video.

### Mindmap

### Keywords

### 💡Definite Integral

### 💡Differentiation

### 💡Simpson's Rule

### 💡Casio fx-991MS

### 💡Alpha Button

### 💡Integral dx Button

### 💡Bracket Close Button

### 💡Radian Mode

### 💡Degree Mode

### 💡Numerical Methods

### Highlights

Learn how to solve integration and differentiation using the Casio fx-991MS scientific calculator.

The calculator can only solve definite integrals using Simpson's rule.

Differentiation results are provided for a specific point only.

Indefinite integrals cannot be solved on this calculator.

Press the integral dx button to solve the first question.

Use the Alpha button to insert the variable x.

Input lower and upper limits after the function.

The calculator provides results in fraction form by pressing Shift and ab/c buttons.

Decimal and mixed fraction forms are also available.

Integration of a cubical polynomial within limits 1 and 3 can be calculated.

Simpson's rule is used for integration from 1 to 1.3 under root x dx.

The calculator allows editing of questions using arrow and del keys.

Intervals for Simpson's rule can be specified by the user.

Trigonometric calculations require switching to radian mode.

Integration of cos^2(x) is demonstrated.

Differentiation can also be performed on the calculator.

Mode can be switched between radian and degree for trigonometric functions.

Editing differentiation at different points is possible using the left arrow key.

The video provides a step-by-step guide on using the calculator for calculus problems.

The video concludes with a call to action for viewers to share and subscribe.