Presentation is loading. Please wait.

Presentation is loading. Please wait.

Your graphing calculator can be used to evaluate definite integrals:

Published byRachel Allison Modified over 5 years ago

Similar presentations

Presentation on theme: "Your graphing calculator can be used to evaluate definite integrals:"— Presentation transcript:

1 Your graphing calculator can be used to evaluate definite integrals:
=fnInt(f (x),x,a,b) Math 9

2 Example: MATH (9:) fnInt( MATH

3 Numerical Integration
MATH (9:) fnInt( fnInt(f (x), x, a, b) gives Try , compare to the computation using the Fundamental Theorem MATH

4 Numerical Integration

5 Numerical Integration
You can also estimate the value of the definite integral while looking at a graph. First graph

6 Numerical Integration
CALC (2nd TRACE) #7 This is the definite integral even though the notation is wrong.

7 Numerical Integration
Enter the Lower Limit Press 1 then ENTER

8 Numerical Integration

9 Numerical Integration
Then the Upper Limit Press 3 then ENTER

10 Numerical Integration
Then the Upper Limit Press 3 then ENTER There’s your answer!

Download ppt "Your graphing calculator can be used to evaluate definite integrals:"

Similar presentations

Each part of graph is described as: 1)Increasing : function values increase from left to right 2)Decreasing: function values decrease 3)Constant function.

Each part of graph is described as: 1)Increasing : function values increase from left to right 2)Decreasing: function values decrease 3)Constant function.
Solving Systems of Equations. Graphing There are three methods to solving systems of equations by graphing: 1)Write both equations in slope – intercept.

Solving Systems of Equations. Graphing There are three methods to solving systems of equations by graphing: 1)Write both equations in slope – intercept.
CALCULUS AND THE CALCULATOR. Derivatives Use calculator to find the slope of the function at a point TI-83 [MATH]-[8] nderiv(function, variable, value)

CALCULUS AND THE CALCULATOR. Derivatives Use calculator to find the slope of the function at a point TI-83 [MATH]-[8] nderiv(function, variable, value)
5.2 Definite Integrals Quick Review Quick Review Solutions.

5.2 Definite Integrals Quick Review Quick Review Solutions.
The First Fundamental Theorem of Calculus. First Fundamental Theorem Take the Antiderivative. Evaluate the Antiderivative at the Upper Bound. Evaluate.

The First Fundamental Theorem of Calculus. First Fundamental Theorem Take the Antiderivative. Evaluate the Antiderivative at the Upper Bound. Evaluate.
Do Now - Review Find the solution to the system of equations: x – y = 3 x + y = 5.

Do Now - Review Find the solution to the system of equations: x – y = 3 x + y = 5.
Definite Integrals Sec. 5.2. When we find the area under a curve by adding rectangles, the answer is called a Rieman sum. subinterval partition The width.

Definite Integrals Sec When we find the area under a curve by adding rectangles, the answer is called a Rieman sum. subinterval partition The width.
5.4 The Fundamental Theorem. The Fundamental Theorem of Calculus, Part 1 If f is continuous on, then the function has a derivative at every point in,

5.4 The Fundamental Theorem. The Fundamental Theorem of Calculus, Part 1 If f is continuous on, then the function has a derivative at every point in,
1 The student will learn about: §4.4 Definite Integrals and Areas. the fundamental theorem of calculus, and the history of integral calculus, some applications.

1 The student will learn about: §4.4 Definite Integrals and Areas. the fundamental theorem of calculus, and the history of integral calculus, some applications.
First Fundamental Theorem of Calculus Greg Kelly, Hanford High School, Richland, Washington.

First Fundamental Theorem of Calculus Greg Kelly, Hanford High School, Richland, Washington.
Section 5.4a FUNDAMENTAL THEOREM OF CALCULUS. Deriving the Theorem Let Apply the definition of the derivative: Rule for Integrals!

Section 5.4a FUNDAMENTAL THEOREM OF CALCULUS. Deriving the Theorem Let Apply the definition of the derivative: Rule for Integrals!
4.4c 2nd Fundamental Theorem of Calculus. Second Fundamental Theorem: 1. Derivative of an integral.

4.4c 2nd Fundamental Theorem of Calculus. Second Fundamental Theorem: 1. Derivative of an integral.
Antiderivatives An antiderivative of f(x) is any function F(x) such that F’(x) = f(x)

Antiderivatives An antiderivative of f(x) is any function F(x) such that F’(x) = f(x)
5.2 Definite Integrals.

5.2 Definite Integrals.
Section 15.3 Area and Definite Integral

Section 15.3 Area and Definite Integral
Using a Calculator to Solve an Equation. Calculator Function: Finding an Intersection of Two Curves To find the coordinates of the intersection(s) of.

Using a Calculator to Solve an Equation. Calculator Function: Finding an Intersection of Two Curves To find the coordinates of the intersection(s) of.
Math on the Mind Model y = –2x + 4 with a table of values and a graph.

Math on the Mind Model y = –2x + 4 with a table of values and a graph.
Derivatives on the Calculator

Derivatives on the Calculator
CHAPTER 4 SECTION 4.4 THE FUNDAMENTAL THEOREM OF CALCULUS.

CHAPTER 4 SECTION 4.4 THE FUNDAMENTAL THEOREM OF CALCULUS.
4.4 The Fundamental Theorem of Calculus

4.4 The Fundamental Theorem of Calculus

Similar presentations

Ads by Google