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 Why is there no absolute min / max for the given equation?

  • jwxie
  • · Replies 3 ·
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Undergrad Limit Comp Test for Polynomial w/Neg Coeff: Use Abs Vals

  • 2slowtogofast
  • · Replies 1 ·
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Graduate Volume of a cone using cylindrical coordinates and integration

  • jolt527
  • · Replies 1 ·
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Graduate Prove Differentiability of g(x) at x1: mx1+b=x0

  • John O' Meara
  • · Replies 5 ·
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5

Undergrad Does T < M + ε for arbitrary ε > 0 imply T ≤ M?

  • AxiomOfChoice
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Undergrad How Do I Correctly Change the Order of Integration for This Integral?

  • Juggler123
  • · Replies 13 ·
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13

Graduate Simplifying the Chain Rule for Partial Derivatives in PDEs

  • x-is-y
  • · Replies 2 ·
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2

Undergrad Proving Convergence: Real s, 0<s<1, n \to \infty

  • disregardthat
  • · Replies 2 ·
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Undergrad Expanding the Exponential Function Using Limits

  • AxiomOfChoice
  • · Replies 14 ·
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14

Undergrad Are Ho(x) and H1(x) orthogonal to H2(x) with respect to e^(-x^2)?

  • nadeemo88
  • · Replies 6 ·
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6

Graduate Integral of exponentiated Fourier expansion

  • quelarion
  • · Replies 6 ·
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6

Undergrad Integration of a Function of 2 Variables with Respect to One Variable

  • mea03wjb
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1

Undergrad Limits of Arguments of Functions

  • DocZaius
  • · Replies 16 ·
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Graduate .999 does not equal 1 because

  • Duncan1
  • · Replies 45 ·
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Undergrad Find the limit of trigonometric function

  • AMateen
  • · Replies 4 ·
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4

Graduate Proofs for Complex Inequalities to Bound a Complex Integral

  • Belgium 12
  • · Replies 2 ·
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2

Undergrad What is the Line Integral of a Semicircle with a 45 Degree Angle?

  • mefisto666
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1

Undergrad Vertical sections and level curves of z=max(x,y²)

  • Juggler123
  • · Replies 1 ·
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1

Graduate What is the Stepwise Solution for Solving a Contour Integration Problem?

  • kranav
  • · Replies 2 ·
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2

Undergrad Are the intervals (b,b), (b,b], and [b,b) empty?

  • AxiomOfChoice
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Undergrad Rewriting the nth Term of a Geometric Series with Algebra

  • ollybabar
  • · Replies 2 ·
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2

Undergrad Why Is There a Contradiction in the Proof of the Derivative of lnx?

  • coki2000
  • · Replies 1 ·
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Graduate Converse Statement of Uniform Continuity

  • CoachZ
  • · Replies 3 ·
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3

Graduate Transformation of lebesgue integral

  • grossgermany
  • · Replies 4 ·
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4

High School What Does 1 Divided by Infinity Equal?

  • brum
  • · Replies 23 ·
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Graduate Energy of dipole orientation

  • JustinLevy
  • · Replies 8 ·
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8

Undergrad Sketching a solid with ρ ≤ 2 and ρ ≤ csc(φ) in spherical coordinates

  • kidzonety
  • · Replies 2 ·
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Graduate Finding the volume of a 3-dimensional spherical intersection

  • volleyball21
  • · Replies 2 ·
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2

Graduate How Do You Calculate Surface Integrals in Higher Dimensions?

  • logarithmic
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Graduate General solution formula of a differential equation

  • coki2000
  • · Replies 2 ·
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2

Graduate Converting polar rose r=sin(t) to implicit form gives a circle

  • JanClaesen
  • · Replies 10 ·
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Graduate Sufficient Condition for Existence of Vector Potential

  • ManuelF
  • · Replies 4 ·
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4

Graduate How to prove Taylor's expansion for multivariable function ?

  • abcdefg10645
  • · Replies 2 ·
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Graduate How to show a set has measure zero?

  • Matthollyw00d
  • · Replies 6 ·
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Graduate Bringing a derivative inside an integral?

  • AxiomOfChoice
  • · Replies 2 ·
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Undergrad Where does the t^(-3/2) go in the chain rule derivative

  • juice34
  • · Replies 2 ·
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Graduate Ellipsoids and Surfaces of Revolution

  • IniquiTrance
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2

Undergrad Why Is Spivak's Calculus Textbook So Highly Regarded?

  • Ian_Brooks
  • · Replies 5 ·
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Undergrad Prove existance of open interval

  • John O' Meara
  • · Replies 6 ·
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6

Undergrad Surface area of a concrete drainage canal intersection

  • jonlorio
  • · Replies 1 ·
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Graduate Laurent series of 1/(z³cos z) converging at π/4

  • Butelle
  • · Replies 4 ·
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Graduate Do Orthogonal Polynomials have always real zeros ?

  • zetafunction
  • · Replies 5 ·
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5

High School Solving x + √x = 6 using inverse functions

  • Jules18
  • · Replies 4 ·
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Undergrad How Do You Solve for x in Terms of y for Quadratic and Higher Order Polynomials?

  • Jules18
  • · Replies 2 ·
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Undergrad Link between Pascal's triangle and integrals of trigonometric functions

  • zass
  • · Replies 5 ·
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5

Graduate If n=complex number what values of n in i^n real?

  • brandy
  • · Replies 4 ·
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Undergrad Explanation of the breaking up of a derivative

  • jamesd2008
  • · Replies 9 ·
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Graduate Prove Complex Inequality: Re z < 0

  • smyroosh
  • · Replies 2 ·
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Graduate Formula for locating Riemann zeta function zeros on the critical line

  • MichaelMi
  • · Replies 1 ·
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Undergrad What shape has the largest area for a fixed perimeter?

  • qspeechc
  • · Replies 2 ·
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Graduate Fourier analysis of a Lorentzian/Cauchy/Breit–Wigner distribution

  • nf405
  • · Replies 1 ·
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Graduate Solving Difficult Integral: x/(x-a)^0.5 from 10^-3 to 10^-2

  • Per Oni
  • · Replies 3 ·
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3

Graduate Does Every Open Set Contain a Compact Set?

  • AxiomOfChoice
  • · Replies 3 ·
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3

Graduate Integral of this exponential function: does it have a solution?

  • fchopin
  • · Replies 4 ·
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4

Undergrad Integrating exp(x^2) like gaussian integral?

  • coki2000
  • · Replies 8 ·
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8

Graduate Proving a positive sequence has a convergent subsequence or diverges to infinity

  • Newtime
  • · Replies 2 ·
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2

Undergrad Finding a volume by triple integration

  • Juggler123
  • · Replies 1 ·
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1

Graduate Area of a hyperbolic paraboloid contained within a cylinder

  • Juggler123
  • · Replies 1 ·
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1

Undergrad What is the sum of the infinite series 1/[n(n+1)(n+2)]?

  • adamg
  • · Replies 14 ·
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14

Undergrad Matrix condition number question

  • tim51
  • · Replies 1 ·
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1

Undergrad How to Average Hysteresis Curves and Calculate Area in Matlab?

  • Christiane1
  • · Replies 1 ·
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1

Graduate Does every continuous function has a power series expansion on a closed interval

  • kof9595995
  • · Replies 10 ·
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10

Graduate Function can be represented by a Taylor series

  • IniquiTrance
  • · Replies 7 ·
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7

Undergrad 2 functions f and g that dont have limits at a number c but fg and f+g do

  • ibensous
  • · Replies 1 ·
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Undergrad Related Rate Problem Including a Cone

  • visoccer8
  • · Replies 2 ·
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2

Undergrad Lim x^2-4y^2/(x+2y) as (x,y)->(-2,1): -4 or DNE?

  • Dustinsfl
  • · Replies 2 ·
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2

Graduate Smooth and L^2 on R^n. Will it be bounded?

  • stradlater
  • · Replies 4 ·
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4

Graduate Question regarding Curl and Cross Product

  • bitrex
  • · Replies 2 ·
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2

Undergrad Problem with int(arctan(B-x/tan(a))/(d-x)) dx

  • klaus
  • · Replies 8 ·
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8

Graduate What is the value of an irrational infinite sum with a unique pattern?

  • Mentallic
  • · Replies 6 ·
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6

Graduate Trouble understanding a derivative used in Hermite curve reparameterization

  • pcap
  • · Replies 1 ·
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1

Undergrad Is it possible to integrate e^-mod(x^n) for n>2?

  • KoopaCooper
  • · Replies 10 ·
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10

Undergrad Integrating a quadratic funtion raised to m/n

  • mdnazmulh
  • · Replies 8 ·
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8

Graduate How Do I Correctly Fit a Gaussian to My Absorption Spectra Data?

  • pazmush
  • · Replies 1 ·
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1

Graduate Integral of 1/√(Au^(s+2)+Bu²+Cu+D)

  • qspeechc
  • · Replies 5 ·
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5

Undergrad Integral evaluated at +/- infinity

  • diffusion
  • · Replies 2 ·
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2

Graduate Finding the Area of a Hyperbolic Paraboloid

  • Juggler123
  • · Replies 2 ·
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2

Graduate Do I integrate it using Trigonometry substitution?

  • caseyjay
  • · Replies 4 ·
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4

Undergrad What is the Hessian matrix and how is it derived?

  • abcdefg10645
  • · Replies 2 ·
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2

Undergrad Can You Compute Fresnel Integrals?

  • unseenoi
  • · Replies 14 ·
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14

Undergrad Physics-based optimization problems for Calc I project

  • SpEuler
  • · Replies 3 ·
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3

Graduate Why does the Dirac delta function integrate to 1 if it's infinite at x = a?

  • danong
  • · Replies 14 ·
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14

Undergrad Material Needed for Power Series

  • bobber205
  • · Replies 3 ·
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3

Undergrad Does the Variable of Differentiation Matter in Calculating Derivatives?

  • Kyouran
  • · Replies 6 ·
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6

Graduate Fresnel integral definitions and function composition

  • Barkan
  • · Replies 2 ·
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2

Undergrad How to Find S as a Function of t in Differential Equations?

  • olechka722
  • · Replies 2 ·
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2

Graduate Zeros of functions on the complex plane

  • zetafunction
  • · Replies 1 ·
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1

Graduate Function f(x) such that it's continuous

  • dE_logics
  • · Replies 31 ·
2
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31

Undergrad Which single-valued differentiable function between 0 and 1 satisfies

  • Wiemster
  • · Replies 15 ·
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15

Graduate Understanding Compact Sets and Their Role in Continuity

  • darkSun
  • · Replies 6 ·
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6

Undergrad Need advice on how to study trigonometry

  • iamsmooth
  • · Replies 2 ·
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2

Graduate Can complex analysis be used to evaluate real definite integrals?

  • zetafunction
  • · Replies 2 ·
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2

Graduate Integral of Exp(I x) and the Dirac Delta

  • hbweb500
  • · Replies 1 ·
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1

Undergrad Is Implicit Differentiation Valid in Cases Where z is Not a Function of x?

  • phymatter
  • · Replies 2 ·
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2

Graduate Understanding One-to-One Mapping

  • CYRANEX
  • · Replies 6 ·
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6

Graduate Complex analysis- poles vs. Zeros, etc.

  • quasar_4
  • · Replies 5 ·
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5

Graduate On Analytic Continuations of complex-valued functions

  • logicalmoron
  • · Replies 1 ·
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1

Undergrad Minimum stopping distance for car with friction coefficient 0.12

  • kza62
  • · Replies 5 ·
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5

Graduate How Many Non-Measurable Sets Exist?

  • fourier jr
  • · Replies 1 ·
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1

Graduate Deriving the Bernoulli EquationFluids

  • Saladsamurai
  • · Replies 4 ·
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4