Calculus Forum

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.

Threads

Graduate Quick/easy question about analytic (holomorphic) functions

  • AxiomOfChoice
  • · Replies 3 ·
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3

Undergrad Integration: 1/((x^(1/2)-x^(1/3))

  • Bohn507
  • · Replies 3 ·
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3

Undergrad How Do I Find P1 and P2 for a Parametrized Curve?

  • Niall101
  • · Replies 2 ·
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2

Graduate Solving Volterra Equations: Integrating for Solutions

  • sara_87
  • · Replies 3 ·
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3

Graduate Delta/Epsilon Proof for General Cases

  • ssayan3
  • · Replies 1 ·
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1

Graduate Verifying Stokes' Theorem: Am I Doing Anything Wrong?

  • albertlee
  • · Replies 1 ·
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1

Undergrad Choosing the correct method of integration.

  • eliwood1221
  • · Replies 2 ·
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2

Graduate The limit of the complex conjugate as z -> 0

  • skriabin
  • · Replies 4 ·
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4

Undergrad Strange Solution to Quadratic Equation

  • vikcool812
  • · Replies 5 ·
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5

Undergrad Difference between Continuity and Derivatives.

  • cjaylee
  • · Replies 3 ·
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3

Graduate Conditions Needed for Interchange of Double Limits

  • disregardthat
  • · Replies 11 ·
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11

Undergrad Second derivative from parametric form

  • vikcool812
  • · Replies 1 ·
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1

Graduate Finding Stationary Distribution for a Stochastic Process

  • Ardla
  • · Replies 8 ·
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8

Graduate Solving Simple Poles: Why Does $\frac{e^{ikz}}{z^{2}+m^{2}}$ Have One?

  • nklohit
  • · Replies 2 ·
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2

Undergrad Using the Intermediate Value Theorem

  • John O' Meara
  • · Replies 1 ·
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1

Undergrad Shortest Point on Cylinder Vertices

  • injun_joe
  • · Replies 2 ·
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2

Graduate Is the 'Integer Function' Bound Valid for Given Functions f(t) and g(u)?

  • zetafunction
  • · Replies 1 ·
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1

Graduate Doubt about Implicit differentiation

  • vineethbs
  • · Replies 4 ·
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4

Undergrad Why Do Different Forms of the Same Equation Yield Different dy/dx Results?

  • vikcool812
  • · Replies 2 ·
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2

Undergrad Show using the intermediate value theorem

  • John O' Meara
  • · Replies 4 ·
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4

Undergrad Does the Second Derivative Test Fail for x^3 at x=0?

  • vikcool812
  • · Replies 4 ·
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4

Undergrad Solving Definite Integral with Inverse Hyperbolic Identities

  • 2^Oscar
  • · Replies 6 ·
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6

High School A Fun Solution That We Came Up With In Grade 12 Calculus

  • Lancelot59
  • · Replies 10 ·
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10

Graduate Proving the Zeta Function Formula for Even Integers: A Resource Guide

  • nicksauce
  • · Replies 1 ·
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1

Undergrad Can the first few terms of a convergent infinite series diverge?

  • quasar_4
  • · Replies 1 ·
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1

Graduate Proof of orthogonality of associated Legendre polynomial

  • MCKim
  • · Replies 1 ·
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1

Graduate Continuity and Domain of Function

  • JG89
  • · Replies 2 ·
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2

Undergrad Why Does the Limit of |(h² + 4h)|/h Differ When Using Modulus Properties?

  • vikcool812
  • · Replies 1 ·
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1

Undergrad Calculus & Motion: What Does Calculus Tell Us?

  • JoeDawg
  • · Replies 6 ·
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6

Undergrad How Do I Complete the Square and Simplify This Equation?

  • gerv13
  • · Replies 4 ·
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4

Graduate How is the region between two concentric spheres simply connected?

  • quasar_4
  • · Replies 3 ·
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3

Undergrad How do you know when to use integration by parts on a problem?

  • pillar
  • · Replies 4 ·
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4

Undergrad Understanding Basic Calculus: Limits, Differentials, and Integrals Explained

  • ryan88
  • · Replies 6 ·
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6

Undergrad Where is the bridge between Calculus and Physics?

  • Josh930
  • · Replies 5 ·
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5

Undergrad Extreme Value Theorem for Constant Function y=1

  • vikcool812
  • · Replies 2 ·
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2

Undergrad How to Prove the Nth Derivative of f(x)=1/(sqrt(1-4x)) by Induction?

  • Sam223344
  • · Replies 4 ·
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4

Graduate Understanding Coordinate Transforms: Partial Derivatives

  • Storm Butler
  • · Replies 1 ·
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1

Graduate Theorem that says partial and ordinary derivatives are mixed?

  • Nusc
  • · Replies 1 ·
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1

High School Can the existence of a limit at x = 0 for sqrt(x) be debated?

  • Caesar_Rahil
  • · Replies 4 ·
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4

Undergrad 1st order linear differential equations - integrating factors

  • austeve
  • · Replies 3 ·
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3

Undergrad Need help on integration question i found on net

  • Keval
  • · Replies 4 ·
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4

Undergrad What Is the Rigorous Definition of dy in Leibniz Notation?

  • kotreny
  • · Replies 7 ·
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7

Undergrad Purpose of each of the operators , divergence, gradient and curl?

  • Pseudo Statistic
  • · Replies 12 ·
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12

Graduate Is the Standard Proof of [a,b] in R Being Compact Flawed?

  • ice109
  • · Replies 3 ·
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3

Graduate Is such a theorem exists? (Uniform convergence).

  • MathematicalPhysicist
  • · Replies 2 ·
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2

Graduate F maps A onto A=>f is one to one

  • pacificguy
  • · Replies 5 ·
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5

Graduate Is There a Bijection Between Metric Spaces A and B?

  • pacificguy
  • · Replies 1 ·
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1

Undergrad Need help with Polar Coordinates, esp. for integration

  • Legendre
  • · Replies 10 ·
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10

Graduate I don't Understand Principle Values

  • John Creighto
  • · Replies 2 ·
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2

Undergrad Another Polar Coordinates + Integration Question

  • Legendre
  • · Replies 5 ·
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5

Graduate Exterior calculus: what about symmetric tensors?

  • mrentropy
  • · Replies 15 ·
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15

Graduate Definition of supremum and infimum using epsilons ?

  • AxiomOfChoice
  • · Replies 5 ·
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5

Graduate Can Arithmetic Operations with Infinities Be Undefined?

  • AxiomOfChoice
  • · Replies 1 ·
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1

Graduate Is (-i)^(-m) Equal to cos((m*pi)/2)+i*sin((m*pi)/2) in Complex Analysis?

  • dado033
  • · Replies 3 ·
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3

Graduate How Do You Solve This Complex Integral Involving Cosine and a Square Root?

  • nemanja
  • · Replies 4 ·
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4

Undergrad Log/Ln: Find Two Term Approximation

  • Physics197
  • · Replies 5 ·
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5

Undergrad Is One or Both of the Integral Solutions Correct?

  • DocZaius
  • · Replies 2 ·
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2

Undergrad How can I use vectors and trig functions to find rotations for alignment?

  • onegun
  • · Replies 1 ·
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1

Graduate Fourier transform of Logarithm ?

  • zetafunction
  • · Replies 7 ·
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7

Undergrad What x satisfies the equation cos(x) = x numerically?

  • fastblue
  • · Replies 1 ·
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1

Undergrad When is it OK to pass the limit to the exponent

  • clueless...
  • · Replies 3 ·
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3

Undergrad How do you determine a f(x) is periodic and fundamental period

  • jwxie
  • · Replies 2 ·
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2

Graduate Proving Onto-ness of a Continuous Function Using the Inverse Function Theorem

  • sin123
  • · Replies 2 ·
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2

Undergrad Why do polar coordinates give different answers for this limit problem?

  • tohauz
  • · Replies 1 ·
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1

Undergrad Limits of expression with square root

  • engineer23
  • · Replies 1 ·
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1

Graduate Exploring Convergence of e^(-γ|x|) Integrals

  • keniwas
  • · Replies 1 ·
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1

Graduate Gradient of a tensor? Del operator on tensor?

  • hanson
  • · Replies 5 ·
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5

Undergrad What Basic Derivative Rule Is Responsible For This?

  • DocZaius
  • · Replies 2 ·
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2

Undergrad Area of a surface of revolution around the x-axis

  • Bachelier
  • · Replies 1 ·
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1

Graduate Alternative proof for the 1st mean-value theorem for integrals

  • y_lindsay
  • · Replies 1 ·
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1

Undergrad Prove that the lim as x goes to a of sqrtx = sqrta

  • apiwowar
  • · Replies 3 ·
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3

Graduate An integral and a deravative of a simple factorial

  • MathematicalPhysicist
  • · Replies 7 ·
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7

High School How to get step-by-step integration

  • imaduddin
  • · Replies 1 ·
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1

Graduate Trouble with use of the Residue Theorem

  • jeffreydk
  • · Replies 2 ·
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2

Undergrad Lim as x goes to a of sqrtx = sqrta

  • apiwowar
  • · Replies 1 ·
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1

Undergrad Changing derivative into partial

  • AntiStrange
  • · Replies 2 ·
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2

Undergrad What Does a Lim with an Underline or Overline Mean?

  • moo5003
  • · Replies 1 ·
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1

Undergrad Assignment on approximations for calculus

  • Physics197
  • · Replies 1 ·
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1

Undergrad Simpler proof that sequence x_n = n does not converge?

  • brian44
  • · Replies 3 ·
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3

Undergrad Is Convergence of Series Possible w/ Divergent Parts?

  • manenbu
  • · Replies 1 ·
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1

Graduate How do you DO analytic continuation?

  • lolgarithms
  • · Replies 3 ·
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3

Graduate Proving a sequence diverges with limited information

  • shoescreen
  • · Replies 1 ·
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1

Graduate Chain rule in partial derivative

  • bigwuying
  • · Replies 2 ·
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2

Graduate Open coverings and Heine-Borel theorem

  • ╔(σ_σ)╝
  • · Replies 4 ·
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4

Undergrad F : N -> N defined by f(x) = x^3 - 1

  • dally165
  • · Replies 1 ·
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1

Undergrad How Can I Master Integration Techniques in Calculus?

  • sarah2529
  • · Replies 5 ·
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5

Graduate Area under the following curve (Lorentzian type)

  • Rajini
  • · Replies 2 ·
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2

Graduate Need help with writing proofs in real analysis? Here are some book suggestions!

  • vandanak
  • · Replies 6 ·
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6

Undergrad Is \{1,2,3,4,5\ldots\} a Closed Set in \mathbb{R}?

  • AxiomOfChoice
  • · Replies 4 ·
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4

Graduate How can the error function be used to solve this integral?

  • astralmeme
  • · Replies 4 ·
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4

Graduate Matrix determinants and differentiation

  • tickle_monste
  • · Replies 5 ·
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5

Graduate Simple (I think?) measure theory question

  • AxiomOfChoice
  • · Replies 5 ·
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5

High School I can not understand a paragraph in a book(about inequality)

  • waterloo2005
  • · Replies 1 ·
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1

Undergrad How to Integrate a Natural Log Function in Electromagnetic Problems?

  • yungman
  • · Replies 2 ·
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2

Undergrad Finding the Limit of a Function as x Approaches Negative Infinity

  • John O' Meara
  • · Replies 3 ·
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3

Undergrad Finding Equations for Plane Containing Intersection of Quadric Surfaces

  • Infernorage
  • · Replies 5 ·
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5

Undergrad Is a Function Continuous in a Neighborhood If It's Continuous at a Point?

  • JG89
  • · Replies 2 ·
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2

Undergrad Limits, find the smallest +ve number N

  • John O' Meara
  • · Replies 5 ·
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5

Graduate Is the product of two sine functions always real-valued?

  • Edwin
  • · Replies 2 ·
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2

Undergrad Use limit definition to prove

  • John O' Meara
  • · Replies 5 ·
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5