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 Epsilon-Delta Proof for Limit of x^2sin(1/x) as x Approaches 0

  • rman144
  • · Replies 3 ·
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3

Undergrad Limit of y=((x-1)/x)^x as x approaches inf

  • Chris101
  • · Replies 2 ·
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2

Undergrad Integral Calculus - reduction formula/formulae

  • james.farrow
  • · Replies 2 ·
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2

Graduate Limits of pitch and time resolution in signal analysis (FFT/SFTF)

  • Twinbee
  • · Replies 3 ·
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Graduate Cylindrical vs. spherical coordinates

  • Marin
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2

Undergrad Volume of a Cube: Integrating s3 vs. s^3/3

  • DocZaius
  • · Replies 2 ·
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2

Graduate Infinite Series Comparison Test

  • Gear300
  • · Replies 4 ·
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4

Graduate Equivalence of Norms in Separable Hilbert Space

  • quasar987
  • · Replies 2 ·
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2

Graduate How can contour integration be used to prove complex analysis identities?

  • Marin
  • · Replies 7 ·
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7

Graduate Derivative of the Gamma Function

  • Unit
  • · Replies 5 ·
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5

Undergrad Differntiable at point problem

  • james.farrow
  • · Replies 5 ·
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5

Graduate Understanding of Higher-Order Derivatives

  • shaggymoods
  • · Replies 1 ·
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1

Graduate Understanding differentials and differentiation

  • donotremember
  • · Replies 6 ·
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6

Graduate Solution for Integral Probs: Exponential Form w/ Symmetric Matrix

  • Petar Mali
  • · Replies 1 ·
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1

Graduate Analyzing the Argument: Is Algebraic Operations on Infinite Series Valid?

  • Gear300
  • · Replies 6 ·
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6

Undergrad Do cosine, tangent, and cotangent have similar limit identities to sine?

  • MathematicalPhysicist
  • · Replies 20 ·
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Graduate If, lim [(A)/2^y] as y->infinity = (1/2)*[(1/2)^x], what is A(x)?

  • redphoton
  • · Replies 2 ·
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2

Graduate A multivariable chain rule problem

  • 501622731
  • · Replies 3 ·
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3

Undergrad Does + C melt together ALL constants?

  • Unit
  • · Replies 6 ·
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6

Undergrad Differentiation of a function with respect to itself

  • bitrex
  • · Replies 2 ·
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2

Graduate How Can I Solve This Complex Integral?

  • mvillagra
  • · Replies 4 ·
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4

Graduate How to Solve for the Nth Derivative of a Trigonometric Function?

  • JanClaesen
  • · Replies 10 ·
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10

Graduate Sequences in nonstandard analysis(basic question)

  • Bourbaki1123
  • · Replies 6 ·
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6

Undergrad How to evaluate a Triple Integral

  • squenshl
  • · Replies 7 ·
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7

Graduate Does the Parameterization Affect the Pullback of a Constant 1-Form?

  • tronter
  • · Replies 1 ·
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1

Graduate Is the set of bounded signals considered in topology and C^1 functions compact?

  • symv
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3

Graduate Existence (and uniqueness) of parameterization

  • michael.wes
  • · Replies 4 ·
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4

Graduate Confusion with the Taylor's Inequality

  • yupenn
  • · Replies 1 ·
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1

Undergrad Is the identity I came up with for sin(x) ^ 2 correct?

  • pro.in.vbdnf
  • · Replies 10 ·
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10

Undergrad Prove a function is invertible using Calculus?

  • thinkgreen95
  • · Replies 6 ·
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6

Undergrad Epsilon delta to prove continuity

  • james.farrow
  • · Replies 5 ·
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5

Graduate Evaluating Triple Integral with Change of Variable: Help

  • squenshl
  • · Replies 5 ·
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5

High School How do you use the quotient rule to find the derivative of X?

  • Maxwellkid
  • · Replies 9 ·
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9

Undergrad New to Math: Struggling with Spivak's Calculus

  • l'Hôpital
  • · Replies 18 ·
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18

Graduate Need some series/ summation help

  • rman144
  • · Replies 5 ·
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5

Graduate Mutlivariable Epsilon Delta Proofs

  • patata
  • · Replies 2 ·
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2

Undergrad Correct Your Working Out: Troubleshoot Your Math Errors | Tips & Tricks

  • confused88
  • · Replies 2 ·
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2

Graduate Evaluating Triple Integral: $\int\int\int_H(x^2+y^2) dV$

  • squenshl
  • · Replies 3 ·
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3

Undergrad Evaluating Triple Integral of G: xyz dV

  • squenshl
  • · Replies 2 ·
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2

Undergrad Topical webpage title: Finding the Secant of a Function Using Weighted Averages

  • soandos
  • · Replies 13 ·
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13

Undergrad Solve Mistake in Limits Problem: Find a & b for Equation Satisfaction

  • WiFO215
  • · Replies 4 ·
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4

Graduate Periodic, continuous and piecewise smooth function

  • fractional
  • · Replies 3 ·
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3

Graduate Uniform Convergence and integration

  • angryfaceofdr
  • · Replies 6 ·
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6

Undergrad Understanding Differentials and Integrals: A Practical Guide

  • DeViLDuD3
  • · Replies 6 ·
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6

Graduate Proving Integral of x^x Does Not Exist

  • n1person
  • · Replies 6 ·
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6

Graduate Proving Summation: $\sum_{n=1}^{\infty}n^{-2}=\frac{\pi^2}{6}

  • Mentallic
  • · Replies 2 ·
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2

Undergrad Math 131 calculus for social science

  • gambit55
  • · Replies 5 ·
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5

Graduate How to Prove the Limit of an Integral Involving Sine and a Function?

  • jostpuur
  • · Replies 2 ·
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2

High School If y = x/z then how do you calculate dx/dy?

  • confused88
  • · Replies 3 ·
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3

Graduate Is My Proof of Laplace Transform Uniqueness Correct?

  • mag487
  • · Replies 5 ·
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5

Graduate Closed Form Solution for Series with Exponential and Power Terms?

  • rman144
  • · Replies 4 ·
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4

Undergrad Solving the Limiting Equation: x^3/e^(x^3) - 1 = 1

  • james.farrow
  • · Replies 7 ·
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7

Graduate Contour integral around essential singularity

  • StatusX
  • · Replies 2 ·
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2

Graduate Constructing a Smooth Non-Analytic Function: An Exploration

  • lolgarithms
  • · Replies 10 ·
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10

Graduate Analytic solution to an exponential integral

  • appelberry
  • · Replies 8 ·
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8

Graduate Infliction Point: Concavity Change & Asymptotes

  • caljuice
  • · Replies 3 ·
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3

Undergrad Find the arc length for the given interval (parametric curve)

  • wh00ps
  • · Replies 2 ·
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2

Graduate Question from a theorem in Baby Rudin (Re: Least-Upper-Bound Property)

  • PieceOfPi
  • · Replies 3 ·
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3

Undergrad Shifting the Summation Index in Zeta Function Convergence Proof?

  • Skynt
  • · Replies 3 ·
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3

Graduate Spherical coordinates surface integral

  • daudaudaudau
  • · Replies 1 ·
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1

Graduate Solve Integral with Modified Bessel Function

  • EngWiPy
  • · Replies 1 ·
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1

Graduate Integral Over a Sphere with dirac delta function

  • tim85ruhruniv
  • · Replies 1 ·
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1

Undergrad What is the Pattern for Differentiating sin^7(x) n Times?

  • shubhakeerti
  • · Replies 1 ·
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1

Undergrad Essentials Calculus: Comparing Early Transcendentals

  • srfriggen
  • · Replies 3 ·
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3

Graduate Bijective & continuous -> differentiable?

  • lolgarithms
  • · Replies 7 ·
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7

Graduate Can We Separate Positive and Negative Terms in a Series to Prove Convergence?

  • JG89
  • · Replies 2 ·
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2

Undergrad How can both equations for polar coordinates be derived?

  • putongren
  • · Replies 6 ·
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6

Undergrad Length of curve in Polar coordinate system

  • ltd5241
  • · Replies 4 ·
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4

Undergrad How do I evaluate double integral as the limit of a sum

  • squenshl
  • · Replies 3 ·
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3

Undergrad How to Integrate d^2 x or d^3 x in Physics?

  • Steve Drake
  • · Replies 3 ·
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3

Graduate How could you use the implicit function theorem to prove something like this?

  • AxiomOfChoice
  • · Replies 2 ·
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2

Undergrad Hyperbolic and Inverse Functions

  • GRB 080319B
  • · Replies 4 ·
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4

Undergrad Big Oh Notation Explained: What Does x = x_0 + \mathcal{O}(y) Mean?

  • AxiomOfChoice
  • · Replies 2 ·
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2

Graduate G(x1+x2)=\sum g(a_{i,j}x^ix^j)

  • John Creighto
  • · Replies 1 ·
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1

Undergrad Fourth Integral: What is the Answer?

  • Excellence
  • · Replies 18 ·
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18

Graduate What is the Limit of the Integral in the Small x Regime for y approaching 1?

  • blue2script
  • · Replies 2 ·
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2

Undergrad Integral Substitution: Evaluating Int f(x4) dx

  • squenshl
  • · Replies 12 ·
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12

Graduate Dx dy where R is the unit circle.

  • squenshl
  • · Replies 1 ·
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1

High School Can WolframAlpha help me find the sin (cos x) or cos (sin x)?

  • optics.tech
  • · Replies 4 ·
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4

Graduate Infinite series by integration by parts

  • disregardthat
  • · Replies 3 ·
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3

Graduate Unit Circle Double Integral: Is 2π/3 the Answer?

  • squenshl
  • · Replies 1 ·
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1

Graduate Taking the gradient of 1/r (solid sherical harmonics?)

  • hanson
  • · Replies 12 ·
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12

Graduate Condition for differentiability of a function

  • peeyush_ali
  • · Replies 12 ·
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12

Graduate Proof of Integral: $\int_0^{\infty}\frac{dx x^2}{e^x - 1} = 2\zeta(3)$

  • nicksauce
  • · Replies 4 ·
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4

Undergrad Integrating dx/sqrt(x^2+r^2) - Step-by-Step Guide

  • omer21
  • · Replies 6 ·
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6

Undergrad Partial Derivative fy(x,y): What Is It?

  • squenshl
  • · Replies 2 ·
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2

Undergrad Natural Logarithm and Integral Operator

  • EngWiPy
  • · Replies 2 ·
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2

Undergrad The Point of Series/Convergence?

  • Jammin_James
  • · Replies 3 ·
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3

Graduate Proving Continuity of $\frac{x}{x-k}$ for $x\neq k$

  • daudaudaudau
  • · Replies 1 ·
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1

Graduate Solving an equation with boundary conditions

  • Mad_MechE
  • · Replies 1 ·
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1

Graduate Calculating dr/dtheta at an arbitrary point and angle

  • haytil
  • · Replies 3 ·
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3

Graduate Volume of n-dimensional sphere equation

  • Petar Mali
  • · Replies 2 ·
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2

Graduate Proving 3D Delta Function with Laplacian

  • daudaudaudau
  • · Replies 5 ·
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5

Graduate Integral over an arbitrary surface

  • Starproj
  • · Replies 7 ·
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7

Graduate Definition problem of the integral of a nonnegative f in royden's book

  • alexzhu
  • · Replies 6 ·
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6

Graduate An identity involving a Dirac delta function.

  • jpreed
  • · Replies 12 ·
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12

Graduate Not possible to find a function g such that g

  • squenshl
  • · Replies 3 ·
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3

Graduate Unifourm Continuity of f(x)=1/x on (0,+∞)

  • ArixII
  • · Replies 2 ·
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2

Graduate Maxima-Minima for a 6 independent variable problem

  • e2m2a
  • · Replies 6 ·
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6

Undergrad Are physics-related math problems important in Calculus?

  • Art_
  • · Replies 2 ·
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2