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Calculus Help

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

Get Calculus Homework Help

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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.
Solution:
 
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

Solution:
 
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
$\frac{(log\ x)^2}{2}$
 

More topics in Calculus
Rate of Change Derivatives
Differentiation Integration
Continuity Discontinuity
Calculus Homework Help Cauchy–Riemann Equations
Entire Function Removable Singularity
Related Topics
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