StudentShare
Contact Us
Sign In / Sign Up for FREE
Search
Go to advanced search...
Free

Mathematics concepts - Essay Example

Cite this document
Summary
It is one of the various different techniques of finding the integrals. (Anton, Bivens, & Davis, 2012, p. 281-282) By using the key theorem of calculus frequently involves in finding an anti-derivative. For…
Download full paper File format: .doc, available for editing
GRAB THE BEST PAPER94.7% of users find it useful
Mathematics concepts
Read Text Preview

Extract of sample "Mathematics concepts"

Mathematics Concept of Mathematics Concept Introduction: Integration by substitution is also d as u-substitution in calculus. It is one of the various different techniques of finding the integrals. (Anton, Bivens, & Davis, 2012, p. 281-282) By using the key theorem of calculus frequently involves in finding an anti-derivative. For reasons like this one and others, u-substitution or integration by substitution is an important instrument for mathematicians. Integration by substitution works as the counterpart to the chain rule of differentiation.

(Challis & Gretton, 2010, p. 126-127)Integration:Integration is mostly defined as the inverse process of differentiation. Integration, in calculus, method of determining a function g(x) and its darivative, Dg(x), is same as a known function f(x). It is denoted by the symbol of integral“∫,” such as ∫f(x), generally known as the indefinite integral of the known function. (At the end of the function sign dx is commonly included, that simply describes x as the variable.) The standard form for writing a definite integral is as the following:Where a and b denotes the integration limits, and are equivalent tog(b) − g(a),Where, Dg(x) = f(x)Integrals are used to estimate quantities like work, volume, area and, in common, several different amounts that can be understood as the area under a curve.

Integration by Substitution:Integration by Substitution is one of the most uncomplicated techniques of integration which is used for making the integration uncomplicated. Integration by substitution or u-substitution in its simplest form is utilized each time when an integral includes a function and also contains derivative of that function, such as, for an integral of the structureThe integration is accomplished by revising the above structure in a shape that turns it simpler to understand. At this point, letThen,So we can say that,Now the integral turns,Now calculating the integral is lot easier after the above; we knowThe substitution is then reversed, giving usDefinite Integrals:Now we’ll find out that how integral with substitution deals with the limits of integrations.

There could be two possibilities. We already have evaluated the integral of the form,Now again supposeIt gives us Now the limits are also changed for becoming,Applying normal integration yieldsThese new limits u1 and u2 can be termed as placeholder for integration. This time when we reverse the substitution replacement ‘sinx’ for ‘u’ and also reversing the representation to limits as well to ‘a’ and ‘b’ respectively. Now our equation will become.That can be calculating the function in the standard manner.

Otherwise, after determiningAs we know that To assess directly by not reversing the substitution. After using this technique, we get,EXAMPLE 1:Find the integral of the given function.. As we can observe that the given function contains both function and its derivative ( that is sinx and its derivative which is cosx) . For that reason, Now if we rewrite the integral function it will become,Now we shall proceed with the normal integration,At this point we shall reverse our supposition, substituting sinx for u.

Now the given function will become For checking our solution we can just differentiate the solution to get the given function..ReferencesAnton, H., Bivens, I., & Davis, S. (2012). Calculus single variable. Challis, N., & Gretton, H. (2010). Fundamental engineering mathematics: A student-friendly workbook. Oxford: Woodhead.

Read More
Cite this document
  • APA
  • MLA
  • CHICAGO
(“Mathematics concepts Essay Example | Topics and Well Written Essays - 500 words”, n.d.)
Mathematics concepts Essay Example | Topics and Well Written Essays - 500 words. Retrieved from https://studentshare.org/mathematics/1627162-mathematics-concepts
(Mathematics Concepts Essay Example | Topics and Well Written Essays - 500 Words)
Mathematics Concepts Essay Example | Topics and Well Written Essays - 500 Words. https://studentshare.org/mathematics/1627162-mathematics-concepts.
“Mathematics Concepts Essay Example | Topics and Well Written Essays - 500 Words”, n.d. https://studentshare.org/mathematics/1627162-mathematics-concepts.
  • Cited: 0 times

CHECK THESE SAMPLES OF Mathematics concepts

Developing Mathematics Approach

Their findings tell us that higher mean scores in Mathematics concepts and application skills can be achieved by the following:Employ the active participant model in the classrooms and engage students in intellectual discourse.... Give positive feedbackValue students' responses and questioning Personalized mathematics Lessons.... Daily journal entries sometimes focus on mathematics experiences, such as that of equivalent fractions.... mathematics is a very interesting subject....
3 Pages (750 words) Essay

Client CaseTesting and Appraisal

The results were 31 percent compared to 2 percent on mathematics reasoning, Mathematics concepts and mathematics computation.... His mathematics are also problematic as he refused to complete his assignments and has difficulties with fine coordination.... Bobby's parents are not together although both his parents and stepfather completed high school....
4 Pages (1000 words) Essay

Gender bias in mathematic achievement

Boys have a significantly greater tendency towards judging topics in Mathematics as easy and significantly, more girls than boys believed that they had difficulties in remembering formulae, understanding Mathematics concepts, and in applying the work that had studied in class (Bevan 4).... The… The second theme is in essence fundamental, in accounting for the gender bias in mathematics achievement, and it relates to the attitudes In a study conducted by Arnot (134), it is difficult to separate the adoption of these attitudes from the powerful and diverse forces, which dictate the expectations of students....
4 Pages (1000 words) Research Paper

Teaching English Language Learners in the Content AreasMathematics

Virtual manipulative can be used by groups of students to help in their understanding of abstract Mathematics concepts.... Once students have understood these concepts, this technology further provides a complex understanding of the learn concepts by allowing students to clarify misconceptions and establish meaningful relationships between concepts and representation.... These struggles result from the fact that problem solving in mathematics is not just language but also a thought process....
2 Pages (500 words) Essay

The Integrated STEM System

The topic was chosen due to… its importance to the US education system and the emphasis that has been put on it to ensure that students are introduced to science, technology, engineering and Mathematics concepts early enough to enhance their thinking ability and suit them to address serious life problems This essay will not deeply address the issues as the main project will follow that will handle the topic adequately.... The acronym STEM refers to Science, Technology, Engineering and mathematics....
5 Pages (1250 words) Research Paper

Mathematics in Everyday Life

The ancient Egyptians were therefore able to build the famous pyramids… In our daily life would be rather inactive without the knowledge of mathematics.... There are several lines of duties where individuals use basic mathematics in their living.... Below is a list of some methods where people use mathematics.... In everyday activities we visit supermarkets and buy items, in case we are not equipped with the knowledge of mathematics, we would not be able to recognize we receive the right change from the shop attendance....
4 Pages (1000 words) Assignment

Using Technology

Markus Hohenwater, having realised the necessity of incorporating related Mathematics concepts,… Regardless of challenges facing its users, I can use the GeoGebra Software in several ways to enhance my classroom instruction. First, Using Technology-GeoBra Using Technology-GeoBra Teaching mathematics requires teachers to connect to various related topics to enhance content understanding.... Markus Hohenwater, having realised the necessity of incorporating related Mathematics concepts, developed the GeoGebra Software as dynamic mathematics software that can be used to achieve the connection (Akkaya, Tatar & Kagizmanli, 2011)....
1 Pages (250 words) Assignment

Technology and Engaged Learning for Dropout Prevention: Motivating At-Risk Students towards Graduation

This paper declares that May 2009, CNN reports that “nearly 6.... million students in the United States between the ages of 16 and 24 in 2007 dropped out of high school, fueling what a report released Tuesday called “a persistent high school dropout crisis.... hellip; According to the paper, Technology and Engaged Learning for Dropout Prevention, high school is the minimum requirement to be able to get a job that has a promise of growth and future financial stability; especially in today's competitive market where a college degree is preferred by most of the big and successful companies....
6 Pages (1500 words) Article
sponsored ads
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.
Contact Us