Calculus Forum

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Join experts in discussion of calculus topics. This may include topics on Elementary functions, Calculating limits, derivatives and integrals. Optimization problems and Homework help is available.
I Differential operator in multivariable fundamental theorem
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A Can you help to solve this integral? (resin viscosity research)
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A An identity with Bessel functions
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I Taylor Expansion Question about this Series
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I Multivariable function optimization inconsistency
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I Several Questions About Smooth Infinitesimal Analysis
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B Naturals or Reals When Taking Limits to Obtain the Value of Euler's Number e?
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A Vector calculus - Prove a function is not differentiable at (0,0)
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I Proving Continuous Functions in Smooth Infinitesimal Analysis
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I Change of Variables in Double Volume Integral
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I How to Calculate Surface Integral Using Stokes' Theorem?
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I Some questions on l'Hôpital rules
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I Showing That a Function Does Not Have Two Distinct Roots
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I Is It Possible? Solving Calculus Questions with Ease
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B Will we get an infinitesimal x when we neglect ##x^2## in ##x+x^2##?
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I Verifying Integration of ##\int_0^1 x^m \ln x \, \mathrm{d}x##
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I Is My Proof of the Chain Rule Correct?
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I Understanding Theorem 13 from Calculus 7th ed, R. Adams, C. Essex, 4.10
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I How to evaluate the enclosed area of this implicit curve?
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B Why is Big-O about how rapidly the Taylor graph approaches that of f(x)?
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I What's an example of orthogonal functions? Do these qualify?
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B Are Both Answers Correct for Trigonometric Substitution Integral?
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I Closed Form for Complex Gamma Function
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I Question about Limit: \lim_{x\rightarrow1} (x+1)
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I Understanding the squeeze theorem
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I Why does the answer key sometimes have a different form compared to my solution?
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A Understanding the Weierstrass- Bolzano theorem
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I Why can't we just integrate a simple function?
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I Confusion about the Substitution rule
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I Alternate forms of Stokes' theorem? Are they correct? Are they named?
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I Integration of √(1-x^2) with x=sinθ: Check Correctness and Simplification
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I Confusion about special case of Jacobian
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B How Can We Divide Lamé Coefficients When Some Are Zero?
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I Second derivative, chain rules and order of operations
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MHB A Method for Proving Some Non-Linear Limits
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MHB Why do most mathematics literature use 2L for the period of a function?
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MHB Distance between two non parallel lines
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I Formula for integration of natural coordinates over an element
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MHB What Is the Antiderivative of 1/(1 + x^4)?
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B Best algebra skills to practice for AP Calc?
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A Calculate the exact or approximate length of one period of the wave function
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I Integral change of variables formula confusion
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I Can I always think of derivatives this way?
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A Series expansion of ##(1-cx)^{1/x}##
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I Spivak, Ch. 20: Understanding a step in the proof of lemma
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B Let f_n denote an element in a sequence of functions that converges
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B What is the role of dx in mathematical and scientific calculations?
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MHB 5.5.2 average value of sqrt{x} [0,4]
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B Where Did My Neglect of High-Order Terms Go Wrong in Integral Sums?
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I Taming a Divergent Series -- But how does it work?
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B Is this identity containing the Gaussian Integral of any use?
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I Inequality with integral and max of derivative
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MHB Evaluating $\iint\limits_{\sum} f \cdot d\sigma $ on Cube S
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I Open interval or Closed interval in defining convex function
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B How to write this in terms of ##\zeta (x)##?
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I Reasoning behind Infinitesimal multiplication
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I Properties of Line Integrals question
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A Vector analysis question. Laplacian of scalar and vector field
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I How Does Gaussian-Legendre Quadrature Approximate Non-Polynomial Functions?
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A Solve Line Integral Question | Get Math Help from Physics Forums
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MHB How to find F(x,y) for $f(x,y)= h(y)\hat{i} + g(x)\hat{j}?$
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I What is the equation for line integrals involving the gradient of a function?
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A How to Derive a Closed Form for a Double Sum with Stochastic Variables?
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MHB Proving $\displaystyle\int_C \vec{F}\cdot d\vec{r} = 0$ with Closed Curve
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I Robert Adams textbook: Acceleration example
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MHB How to prove this corollary in Line Integral using Riemann integral
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MHB What is the Basic Idea of Limits in Calculus?
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MHB 5.2.1 vol of sin x^2 ; 0\le x \le \dfrac{\pi}{2}
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B Can the continuity of functions be defined in the field of rational numbers?
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B Representation of infinitesimals in different ways
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MHB Minimum of product of 2 functions
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A A discrete version of the normal distribution
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I How do I compute the second derivative of a one-dimensional array?
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MHB Antidifferentiation by Substitution
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I Is this integral using change of variables technique correct?
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I Which of the two answers is correct?
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MHB Integrate 3/(x(2-sqrt(x))) - No Partial Fractions
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I How Do You Integrate Expressions Like These?
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MHB How to use change of variables technique here?
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A Curl in cylindrical coordinates -- seeking a deeper understanding
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I Solve for ##n## in ##\frac{1}{(T+\frac{1}{U^{1/n}})^n} = G##
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MHB Triple Integrals: Finding Volume of Solid S Bounded by Planes
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MHB *Volume of a cone change of rate of volume with respect to h and r
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I I want to know which software was used to create vector calculus graph
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B Why is Delta y not equal to dy for infinitesimally dx on the graph?
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MHB How to Solve the IVP Using an Integration Factor?
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B Why do I not understand what seems to be basic Calculus?
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A What will be value of this differential? Kindly help and explain
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A Multiplying divergent integrals using Hardy fields approach
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B Mean-Value Theorem, Taylor's formula, and error estimation
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I Can you solve a Disk, Washer, Shell method problem without drawing a graph?
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Insights A Novel Technique of Calculating Unit Hypercube Integrals
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I Calculating the surface area of a sphere using dA
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MHB Tricks for Saving Money on Groceries
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I High schooler Develops new Integration Technique
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B Problem with the concept of differentiation
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A Vector analysis and distributions
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B What is this equation called and why is it regarded as beautiful?
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MHB Maxima and Minima in calculus
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B Why 1 / ∞ = 0 but ∞ * 0 is not equal to 1?
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