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Free Math Homework Help Calculus

Calculus lies at the center of math and science. In simple terms, calculus involves the application of mathematics to study and understand change. Calculus traces its origins to the 17th century when notable scientists such as Sir Isaac Newton developed the discipline as a means of solving complex problems that could not be solved with more basic algebra concepts.

Calculus is easier for students to find interesting compared to other areas of math. Before we have some fun, let's review the basic topics that are normally considered part of college calculus that we can help with:



Where Can You Learn More About This Fascinating Subject?

There are a number of informative resources available to help your broaden your calculus knowledge base. A great place to get instructive articles in calculus is matharticles.com. If you haven't seen the MIT calculus videos, you've been missing out. These are essential for anyone interested in calculus.

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Another method for getting the calculus homework help you need is to participate in a live online tutoring session. Your expert instructor will use cutting-edge whiteboard technology to explain the problem and demonstrate how to quickly arrive at the correct solution. This interactive approach to learning has proven to be highly effective and enjoyable for many of our students.

To fulfill our tutoring mission of online education, our college homework help and online tutoring centers are standing by 24/7, ready to assist college students who need homework help with all aspects of calculus. Our mathematics tutors can help with all your projects, large or small, and we challenge you to find better online calculus tutoring anywhere.



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Calculus is the study of change, it basically analyses things that change and is a significant part  of Mathematics. Calculus is a branch of mathematics focused on limits, integrals, derivatives, functions and infinite series. Integral calculus and Differential calculus are the two main branches of this topic. Differential calculus is concerned with the study of rates at which a quantities change whereas Integral calculus gives information about the accumulation of quantities. These branches are connected with each other in respect of fundamental theorem. It is stated that calculus was founded in the 17th century and since then its concepts have been applied in many sectors including engineering, science, economics, computer science, medicine and others. Calculus is referred as the part of modern Mathematics. 

Calculus is a widespread topic and it has three parts like ancient, medieval and modern calculus. Limits, derivative applications, solid of revolution are some important sub-topics that students are requested to learn intensely to get a thorough understanding of the topic. Some students find calculus tough, in such cases they are suggested to take online calculus help. TutorVista provides productive and informative sessions for calculus. To avail these online sessions designed for calculus, students need to follow some easy steps. They can choose their sub-topics and can take sessions at any preferred time. Moreover, they can take assistance in solving assessments and homework from our efficient online tutors.

Get personalized attention and solve complicated calculus problems with experienced Math tutors and understand all these topics in a detailed manner. In short, get well-geared learning help online with TutorVista and solve Math in a jiffy. You also have an option to understand the math topic through an audio interaction wherein the tech framework allows you to use VOIP.

Topics Covered in Calculus

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  • Functions Limits and Continuity
  • Differentiation
  • Differential Equations
  • Indefinite Integrals
  • Definite Integrals
  • Applications of Derivatives
  • Exponential and Logarithmic Series

Get personalized attention and solve complicated calculus problems with experienced Math tutors and understand all these topics in a detailed manner. In short, get well-geared learning help online.

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Calculus homework help is designed and prepared under the supervision of proficient academicians. Students can get calculus homework help at their convenient time and make their learning process easier and worthy. Students can choose their topic and most importantly, they can get repeated sessions of the same Math topic until their confident about the entire step by step solution provided. Free online sessions are also available for each Math topic with TutorVista.  

Calculus is the branch of mathematics used to study any phenomena involving change. TutorVista designs suitable online sessions for Math topics. Experienced tutors are available 24/7 and they assist students in solving each calculus problem accurately. The tutors help in understanding each calculus topic and improve your score in exams. Students can choose regular homework help and free question banks are also available online. Get instant online help with experienced tutors and brush up your subject knowledge before exams.

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College Calculus Help

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Get unlimited online calculus tutorials from TutorVista. Our online tutors are well-experienced  and they solve each problem fluently. Our virtual tutors are available 24/7 and hence, students can connect with them whenever they need help. Our calculus tutors are well-trained and they guide students comfortably. Solve your homework and assignments by taking adequate help from TutorVista. Understand the step-by-step explanations provided and make all complex calculus problems easy.  

TutorVista takes pride in having highly qualified online tutors. Feel free to take their help and meet your goals and expectations. College calculus is not easy to deal with but the expert virtual tutors with TutorVista make it simple and easy at any given time. Your children can get personal attention and tutoring from our tutors who not only provide answers to difficult problems but assist in problem solving, in getting answers.

Below are some examples based on calculus:

Solved Examples

Question 1: Find the derivative of f(x) = sin x using first principles.

f(x) = sin x ... (1)

f(x + h) = sin (x + h) .....(2)

Subtract equation (1) from equation (2), we get

f(x + h) - f(x) = sin(x + h) - sin x

= 2 cos ($\frac{2x+h}{2}$) sin ($\frac{h}{2}$)    [ using identity sin A - sin B = 2 cos($\frac{A+B}{2}$) sin ($\frac{A-B}{2}$)

= 2 cos (x + $\frac{h}{2}$) sin ($\frac{h}{2}$)

$\frac{f(x + h) - f(x)}{h}$ = $\frac{1}{h}$ (2 cos (x + $\frac{h}{2}$) sin ($\frac{h}{2}$))

= $\frac{2 cos (x + \frac{h}{2}) sin (\frac{h}{2})}{2 \times \frac{h}{2}}$  [ Because $\frac{sin \frac{h}{2}}{\frac{h}{2}}$ ]

= cos(x + $\frac{h}{2}$)
$\lim_{h\rightarrow0}$ $\frac{f(x + h) - f(x)}{h}$ = $\lim_{h\rightarrow0}$  cos(x + $\frac{h}{2}$)

= cos x

=> Derivative of sin x is cos x.

Question 2: Solve $\int$ $\frac{log\ x}{x}$ dx


Given: $\int$ $\frac{log\ x}{x}$ dx
Substitute log x = t, then $\frac{1}{x}$ dx = dt

Now $\int$ $\frac{log\ x}{x}$ dx = $\int$ t dt =$\frac{t^2}{2}$
After re-substituting the values, we have
$\frac{(log\ x)^2}{2}$

Some essential topics are mentioned below and these are thoroughly covered by our online program:

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