Explanation Formula used: The definite integral of a function f ( x ) as, ∫ a b f ( x ) d x = F ( b ) − F ( a ) , where F ′ ( x ) = f ( x ) . The numbers a and b are called the lower and upper integral. Calculation: Obtain the value of the definite integral ∫ − 2 0 ( 2 x + 4 − 3 x + 8 3 ) d x as follows. ∫ − 2 0 ( 2 x + 4 − 3 x + 8 3 ) d x = ∫ − 2 0 ( 2 x + 4 ) 1 2 d x − ∫ − 2 0 ( 3 x + 8 ) 1 3 d x = 1 2 ∫ − 2 0 ( 2 x + 4 ) 1 2 ( 2 d x ) − 1 3 ∫ − 2 0 ( 3 x + 8 ) 1 3 ( 3 d x ) = 1 2 [ ( 2 x + 4 ) 1 2 + 1 1 2 + 1 ] − 2 0 −

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780135902912

Author: Allyn J. Washington

Publisher: PEARSON

See similar textbooks

Concept explainers

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the se…

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integratio…

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects th…

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.

Videos

Question

Chapter 25.4, Problem 34E

To determine

The value of the definite integral ∫−20(2x+4−3x+83)dx.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 25.4, Problem 33E

Chapter 25.4, Problem 35E

Students have asked these similar questions

1. (i) (ii) which are not. What does it mean to say that a set ECR2 is closed? [1 Mark] Identify which of the following subsets of R2 are closed and (a) A = [-1, 1] × (1, 3) (b) B = [-1, 1] x {1,3} (c) C = {(1/n², 1/n2) ER2 | n EN} Provide a sketch and a brief explanation to each of your answers. [6 Marks] (iii) Give an example of a closed set which does not have interior points. [3 Marks]

Function: y=xsinx Interval: [ 0 ; π ] Requirements: Draw the graphical form of the function. Show the coordinate axes (x and y). Choose the scale yourself and show it in the flowchart. Create a flowchart based on the algorithm. Write the program code in Python. Additional requirements: Each stage must be clearly shown in the flowchart. The program must plot the graph and save it in PNG format. Write the code in a modular way (functions and main section should be separate). Expected results: The graph of y=xsinx will be plotted in the interval [ 0 ; π ]. The algorithm and flowchart will be understandable and complete. When you test the code, a graph file in PNG format will be created.

A company specializing in lubrication products for vintage motors produce two blended oils, Smaza and Nefkov. They make a profit of K5,000.00 per litre of Smaza and K4,000.00 per litre of Nefkov. A litre of Smaza requires 0.4 litres of heavy oil and 0.6 litres of light oil. A litre of Nefkov requires 0.8 litres of heavy oil and 0.2 litres of light oil. The company has 100 litres of heavy oil and 80 litres of light oil. How many litres of each product should they make to maximize profits and what level of profit will they obtain? Show all your workings.

Chapter 25 Solutions

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

Ch. 25.1 - Find an antiderivative of x3 + 4x. Ch. 25.1 - Prob. 2PE Ch. 25.1 - Prob. 1E Ch. 25.1 - Prob. 2E Ch. 25.1 - Prob. 3E Ch. 25.1 - Prob. 4E Ch. 25.1 - In Exercises 5–12, determine the value of a that...Ch. 25.1 - Prob. 6E Ch. 25.1 - Prob. 7E Ch. 25.1 - Prob. 8E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The value of the definite integral ∫ − 2 0 ( 2 x + 4 − 3 x + 8 3 ) d x .

Concept explainers

Videos

The value of the definite integral ∫−20(2x+4−3x+83)dx.

Want to see the full answer?

Chapter 25 Solutions