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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.
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Insights Beginner's Guide to Precalculus, Calculus and Infinitesimals
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Insights Precalculus, Calculus and Infinitesimals
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Insights What Are Numbers?
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MHB Advanced Integration Techniques
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MHB Closed form solution to sum of sine positive zero-crossings
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I How is the derivative of an inexact differential defined?
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A Gamma function, Bessel function
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A Summing over continuum and uncountable numerocities
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I Relation between change of pressure and temperature in adiabatic process
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B Trigonometric substitution, a case I'd like to share
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Really hard integrals?
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I Lipschitz continuity of vector-valued function
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B Integration by Parts, an introduction I get confused with
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I Result of this integral in large Lambda limit
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I Finding the derivative of a characteristic function
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I Questions about these Trigonometry Graphs involving sin() and cos()
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I Taylor series of 1/ln(t+1) at t=0
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I Difference between d/dt and d(theta)/dt? Why is it dr or ds/dt?
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I Use the Calculus of Variations to show the minimum path connecting two points is a straight line
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B Why is this definite integral a single number?
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I Substitution in a definite integral
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I Can calculus be used to determine how much total interest I would pay?
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B I need to check if I am right solving this integral
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I Tensor Product of Two Hilbert Spaces
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I Multivariable fundamental calculus theorem in Wald
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I Taylor expansion of f(x)=arctan(x) at infinity
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B I don't recognize this limit of Riemann sum
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I Integration of ##e^{-x^2}## with respect to ##x##
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I Conservation of Mass for Compressible Flow
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B Why is the growth of exps & logs so fast & slow, respectively?
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I Limit as a function, not a value
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Insights The Art of Integration
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B Vertical asymptote with an epsilon-delta proof?
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I Integration formula of cosecant
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I Calculate limits as distributions
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I Why is the integral of ##\arcsin(\sin(x))## so divisive?
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B Functions which relate to calculus: Questions about Notation
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A Quadruple Integral in the Lamb Shift
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Insights What Are Infinitesimals – Simple Version
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A Extending reals with logarithm of zero
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B What Are Infinitesimals?
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I What is the official name for a Field Series in mathematics/physics?
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I Find the roots of the quadratic equation by differentiation
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I Partial derivatives of the function f(x,y)
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I Resolve the Recursion of Dickson polynomials
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B Explain Integration to me, please
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A How to integrate this equation?
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A Double integral with infinite limits
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I Negative area above x-axis from integrating x^2?
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I Integral Bee Preparation -- Trouble with this beautiful integral
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A Varying an action wrt a symmetric and traceless tensor
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B Easy derivative but with a pesky singularity
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I Solving the Difficult Integral ##\int_0^{\infty} x^{n+1} e^{-x} \sin(ax) dx##
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I Margenau on quadratic form
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A Need help with an integral -- How to integrate velocity squared?
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A Non solvable integral?
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Insights An Overview of Complex Differentiation and Integration
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I Finding domain when using continuity to evaluate a limit
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B How do I invert this exponential function?
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B Minima/maxima of a circle
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I Solving a Fraction Problem: Help Needed!
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I Express the limit as a definite integral
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I Relating integration of forms to Riemann integration
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I Limit of the product of these two functions
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MHB Evaluate the surface integral $\iint\limits_{\sum}f\cdot d\sigma$
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MHB Double integration problem
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I Gradient With Respect to a Set of Coordinates
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A Boundary conditions for variable length bar
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I The Basic Area Problem (introduction to the topic of integrals)
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I Using the Chain Rule for Vector Calculus: A Tutorial
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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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I Understanding the nth-term test for Divergence
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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 Applying 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 Is my Integration ok?
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I Proof of the Chain Rule
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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 Trigonometric substitution
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I Closed Form for Complex Gamma Function
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I A question about limit
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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?
2
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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 Please Check My Integration
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I Confusion about special case of Jacobian
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B Dividing Lamé coefficients
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Calculus

Welcome to the Calculus forum!

Calculus is the science of approximating and even computing exactly, measurements of curved things by means of known measurements of straight things.

Slopes of curves are measured in terms of slopes of lines, areas and volumes of curved surfaces like spheres are measured in terms of measurements of planes and simpler curved objects like cylinders and and cones.

Common topics are elementary functions, calculating limits, derivatives and integrals.

Optimization problems and Homework help is available in the homework forums.

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