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

Undergrad Can L’hospital rule work for finding limits of complex functions

  • xdrgnh
  • · Replies 1 ·
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1

Graduate Does a Holomorphic Function Extend Continuously to the Unit Circle?

  • symbol0
  • · Replies 11 ·
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11

Graduate Ohda: Definition of Order in Baby Rudin

  • Bacle2
  • · Replies 2 ·
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2

Graduate Definition of the residual spectrum

  • AxiomOfChoice
  • · Replies 1 ·
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1

Graduate Solving Roots with Rouche's Theorem - Finding Solutions in Complex Plane

  • soofjan
  • · Replies 2 ·
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Graduate Complex integration, branch cuts

  • mathmadx
  • · Replies 9 ·
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9

Graduate Does the following have a solution?

  • Frogeyedpeas
  • · Replies 1 ·
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1

Graduate Complex analysis non-constant analytic function

  • arthurhenry
  • · Replies 10 ·
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10

Undergrad Quick Linear Integration Question

  • sriracha
  • · Replies 8 ·
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8

Undergrad Solve Integration Problem With u-Substitution

  • fran1942
  • · Replies 4 ·
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4

Graduate Does a Non-Empty Dense Set Have Isolation Points?

  • Jonmundsson
  • · Replies 4 ·
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4

Graduate How do you pick g for the comparison test on improper integrals?

  • Square1
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2

Graduate Finding a unique profit-maximizing output with cubic cost function

  • jasper10
  • · Replies 1 ·
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1

Undergrad Solving Basic Calculus: Integrals with Logarithms and Variable Limits

  • pamparana
  • · Replies 6 ·
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6

More Infinite Series Problems to Solve

  • DrunkenOldFool
  • · Replies 4 ·
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4

An Elegant Solution to a Tricky Integral

  • sbhatnagar
  • · Replies 5 ·
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5

Graduate Line Integral: Meaning of Homotopic

  • Karamata
  • · Replies 2 ·
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2

Undergrad GPS, irregular area under graph project

  • kvon989
  • · Replies 2 ·
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2

Graduate Simplifying |√(z²-1)+z|+|√(z²-1)-z|

  • theaterfreak
  • · Replies 9 ·
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9

Undergrad Nonsensical (lack of) relation between area and arc-length of polar curves

  • thetasaurus
  • · Replies 7 ·
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7

Undergrad Why Does the Proof of \(y^n = x\) Consider Specific Cases for \(t\)?

  • jwqwerty
  • · Replies 2 ·
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2

Graduate Convergent sequence property and proving divergence

  • Sun God
  • · Replies 3 ·
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3

Graduate How Does Polar Coordinate Transformation Affect Geometric Figures?

  • alesak23
  • · Replies 1 ·
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1

Undergrad Are There Infinite Upper Bounds for a Given Set?

  • Max.Planck
  • · Replies 6 ·
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6

Undergrad Why Is the Antiderivative the Same as the Area Under the Curve?

  • jd12345
  • · Replies 2 ·
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2

Graduate Compute Integral of Function z∂u(z)/∂z

  • crocomut
  • · Replies 6 ·
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6

Undergrad Can You Solve x*log(x) = 0.1*x^2 Using Logarithmic Properties?

  • mycrafish
  • · Replies 3 ·
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3

Graduate Question from reading Div Grad Curl and All That

  • ericm1234
  • · Replies 3 ·
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3

Undergrad F(a+b)=f(a)*f(b) and f(a*b)=f(a+b)

  • Emilijo
  • · Replies 5 ·
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5

Graduate Real integrals with complex coefficients

  • VantagePoint72
  • · Replies 1 ·
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1

Find the Conditions on A for Convergence of f(x) Root

  • house2012
  • · Replies 2 ·
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2

Solve R Root with Newton's Method: n ≥2, R>0

  • house2012
  • · Replies 2 ·
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2

Undergrad How to show a function is analytic?

  • numberthree
  • · Replies 5 ·
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5

Graduate Finding the Sum of Convergent Series t^(-n^2) for n=1 to ∞

  • nipunmalhotra
  • · Replies 2 ·
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2

Graduate How Can the Infinite Product of (1+n^-2) Be Bounded?

  • SumThePrimes
  • · Replies 2 ·
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Graduate Antiderrivative of e^(-x)*sin(x)*x^n

  • SumThePrimes
  • · Replies 5 ·
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5

Graduate About definition of 'Bounded above' and 'Least Upper Bound Property'

  • jwqwerty
  • · Replies 3 ·
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3

Undergrad Equation of plane containing two given lines

  • cjavier
  • · Replies 2 ·
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2

Undergrad Function must be a bijection for its inverse to exist?

  • Bipolarity
  • · Replies 8 ·
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Graduate Conversion of equation which preserves motion

  • shethroh
  • · Replies 4 ·
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4

Graduate Scalar function satisfying div f=F

  • rammer
  • · Replies 4 ·
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4

Undergrad Question about one part of the Ratio Test proof

  • ivan77
  • · Replies 2 ·
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2

Graduate On the integration by parts infinitely many times

  • mmzaj
  • · Replies 3 ·
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3

Graduate Can the MVDT be used to prove an inequality in economics?

  • Bipolarity
  • · Replies 2 ·
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2

Graduate If replace the (1-x) by (a-x) in the Beta integral what the result will be?

  • semigroups
  • · Replies 1 ·
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1

What are some intriguing integrals to explore?

  • polygamma
  • · Replies 15 ·
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Find $f_n$ of Integral of x^{-x}

  • Also sprach Zarathustra
  • · Replies 11 ·
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11

An interesting series divergence

  • Krizalid1
  • · Replies 6 ·
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6

Infinite Series 2: More Fun Problems!

  • sbhatnagar
  • · Replies 4 ·
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4

Integral with floor and ceil function

  • Krizalid1
  • · Replies 3 ·
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3

Undergrad Why can't we view the derivative as a fraction?

  • Vorde
  • · Replies 9 ·
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9

Graduate Is math valid in step 5 of Simple Derivation of the Lorentz Transformation

  • kwestion
  • · Replies 3 ·
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3

Graduate The major problem of 5.1 Definition in Baby Rudin

  • julypraise
  • · Replies 8 ·
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8

Graduate Path dependent function with a defined path

  • aise0603
  • · Replies 1 ·
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1

Undergrad Interpretation of dx as the differential of x for Indefinite Integrals

  • mbarile
  • · Replies 4 ·
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4

What is the integral of dx over dx?

  • Evgeny.Makarov
  • · Replies 9 ·
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9

What is the correct power series for $g(t)$?

  • Dustinsfl
  • · Replies 4 ·
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4

Graduate Parametric definition for a complex integral

  • thayin
  • · Replies 1 ·
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1

Graduate How Does the Boundedness of Im(zn) Aid in Proving Convergence of <e^(i*zn)>?

  • gestalt
  • · Replies 6 ·
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6

Undergrad Why is there a constant A in this definite integral?

  • wumple
  • · Replies 1 ·
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1

Graduate Complex Analysis: Two Questions About Non-Constant Analytic Functions

  • arthurhenry
  • · Replies 5 ·
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5

What Are the Fascinating Results of These Integral Explorations?

  • sbhatnagar
  • · Replies 7 ·
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7

Graduate Can Definite Integrals Validate a New Proof of Rolle's Theorem?

  • Alpharup
  • · Replies 14 ·
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14

Graduate How can one derive surface area Jacobians in spherical coordinates?

  • sriracha
  • · Replies 2 ·
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2

Undergrad Why is Harmonic Series Convergent

  • janac
  • · Replies 8 ·
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8

Sum involving pi, ln(2) and Catalan's constant

  • Sherlock1
  • · Replies 2 ·
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2

Undergrad Derivative with respect to n of an integral of n(w) over w

  • apb000
  • · Replies 3 ·
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3

Undergrad Why is the integral of ln(x) from 0 to 1 negative?

  • pmqable
  • · Replies 9 ·
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9
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7

Graduate Why Does the Summation Converge in l_1(R) but Not for the Sequence (1)?

  • bugatti79
  • · Replies 6 ·
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6

Graduate What is the general form of an analytic function with ux = 0 on a given domain?

  • handiman
  • · Replies 1 ·
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1

Graduate Area under a discontinuous integrable function

  • shtephy
  • · Replies 7 ·
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7

Undergrad Does the Definition of an Inverse Depend on Injectivity and Surjectivity?

  • Bipolarity
  • · Replies 1 ·
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1

Graduate Complex anaylsis, winding number question.

  • screwyshrew
  • · Replies 3 ·
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3

Undergrad Proof for part 2 of fundamental theorem of calculus

  • Bipolarity
  • · Replies 9 ·
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9

Graduate Pole expansion of meromorphic functions

  • LAHLH
  • · Replies 4 ·
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4

Undergrad Odd/even for a multivariable function

  • wumple
  • · Replies 2 ·
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2

Undergrad Triple integral of ((x/a)² + (y/b)² + (z/c)²)²

  • carrick.ap
  • · Replies 3 ·
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3

Find the sum of the series involving one minus the Riemann zeta function

  • chisigma
  • · Replies 2 ·
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2

Graduate Surface Integral, flux. Boundary and orientation

  • Liferider
  • · Replies 5 ·
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5

Undergrad Filling a tank flow rate problem

  • robert.hare
  • · Replies 2 ·
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2

How Do You Differentiate a Function Involving Natural Logarithms?

  • MacLaddy1
  • · Replies 16 ·
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16

Parameterizing Equations with a and b: A Calculus Question

  • Dustinsfl
  • · Replies 2 ·
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2

Derivative Notation: Clarifying Confusion

  • MacLaddy1
  • · Replies 4 ·
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4

Undergrad Solve Integral: \int_{-n \pi /2}^{n \pi / 2} y^2[1 + \cos(2y)] dy

  • SoggyBottoms
  • · Replies 1 ·
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1

Graduate Complex analysis/linear fractional transformation

  • arthurhenry
  • · Replies 4 ·
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4

Undergrad Vector calculus velocity question

  • lonewolf219
  • · Replies 6 ·
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6

Undergrad How Do You Determine Supremum and Infimum Without Graphing?

  • elizaburlap
  • · Replies 4 ·
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4

Graduate Surface integral problem from H.M. Schey's book

  • Hixy
  • · Replies 3 ·
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3

How Do I Find Constants A, B, C, D, and ω in This Coupled DE System?

  • charlottewill
  • · Replies 1 ·
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1

What is the limit of Problem #2 using double integration?

  • sbhatnagar
  • · Replies 4 ·
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4

Graduate How Do You Solve This Challenging Integral Puzzle?

  • 54stickers
  • · Replies 3 ·
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3

Undergrad Time for Gravity to force two objects in a vacuum together

  • ladyy603
  • · Replies 6 ·
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6

Undergrad How Does the Secant Line Relate to Fermat's Theorem?

  • Bipolarity
  • · Replies 1 ·
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1

Finding the domain of 1/[e^(x+y)-3]

  • bart11
  • · Replies 5 ·
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5

Solving for the Derivative of a Tricky Equation

  • charlottewill
  • · Replies 2 ·
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2

Graduate Why are Cauchy sequences important in understanding limits and completeness?

  • matqkks
  • · Replies 4 ·
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4

Undergrad Direct Proofs: Are They Just Introductions?

  • Benn
  • · Replies 1 ·
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1

Graduate Maximizing integral ratio with bounded b(x)

  • hartran
  • · Replies 1 ·
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1

Graduate Simplifying Complicated Expression: ((i+1)^{n+1} - (i-1)^{n+1})

  • Poopsilon
  • · Replies 1 ·
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1