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 Integrals over chained functions

  • SchroedingersLion
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Undergrad How Do I Find the Laplace Transform of an Integral?

  • lamdc
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Undergrad Why can you treat dv/dt and dt as cancelling in u-substitution for integrals?

  • Abdullah Almosalami
  • · Replies 5 ·
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5

Undergrad Work to pump water from a conical tank with spout 2m above

  • fubag
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1

Undergrad Showing that a multivariable limit does not exist

  • ek124
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3

How Do You Calculate Closing Velocities and Determine Their Range?

  • frankie1
  • · Replies 11 ·
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11

How Can I Find the Equation of the Dotted Tangent Line of a Circle?

  • Yankel
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5

Undergrad Centroid of homogeneous lamina region R and the factor of "1/2"

  • PainterGuy
  • · Replies 4 ·
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4

Graduate Optimal Filter Coefficients: Correlation versus Least Squares

  • Squatchmichae
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Undergrad Mean of the derivative of a periodic function

  • Robin04
  • · Replies 6 ·
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6

Undergrad Does this "theorem" of limits hold in general?

  • walking
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High School A proof of the fundamental theorem of calculus

  • Rishabh Narula
  • · Replies 6 ·
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6

Undergrad Function value at different points

  • Apashanka
  • · Replies 8 ·
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8

Undergrad Fourier series coefficients in a not centered interval

  • Phys pilot
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1

Undergrad Geometric meaning of reversing the limits of an integral

  • mech-eng
  • · Replies 37 ·
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Undergrad What Are Some Examples of Symbolic Manipulation Not Included in Calculus?

  • Jonathan212
  • · Replies 8 ·
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8

High School A function's derivative being not defined for some X but having a limit

  • Mcp
  • · Replies 4 ·
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4

Undergrad Centre of mass of a semicircle using polar coordinates

  • walking
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5

Graduate The δ Notation in Calculus of Variations

  • sams
  • · Replies 2 ·
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2

Undergrad How to Derive the Taylor Series for log(x)?

  • PainterGuy
  • · Replies 5 ·
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5

Undergrad Question regarding Stokes' Theorem

  • Laudator
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2

Undergrad Divergence of traceless matrix

  • jouvelot
  • · Replies 2 ·
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2

Undergrad A random question comes to mind, about the infinitesimal area of rings

  • Laudator
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Graduate How Does Energy Convergence Relate to Fourier Series Representation?

  • Jag1972
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Graduate How Can We Ensure Convergence in Function Approximations Beyond Taylor Series?

  • mertcan
  • · Replies 23 ·
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23

Undergrad Trick for evaluating limits by substituting in 1/n

  • cuallito
  • · Replies 6 ·
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6

Surface Area of Revolution with Double Integration

  • Edward2022
  • · Replies 1 ·
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1

Undergrad Attempting to find an intuitive proof of the substitution formula

  • Adgorn
  • · Replies 7 ·
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7

Undergrad Why Does the Area Under a Diffraction Curve Equal This Value?

  • albertrichardf
  • · Replies 2 ·
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2

Undergrad Is there anything wrong with how the supremum of a set is written?

  • Eclair_de_XII
  • · Replies 5 ·
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5

Undergrad Line integral for work done by gravity

  • bottle_shadow
  • · Replies 3 ·
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3

Total differential to calculate approximately the largest error

  • Ereisorhet
  • · Replies 1 ·
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1

Undergrad Is Leibniz integral rule allowed in this potential improper integral?

  • Beelzedad
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1

Graduate A function with certain conditions on derivatives at 0

  • phoenixthoth
  • · Replies 1 ·
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1

Improper integral of an even function

  • sarrah1
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2

Undergrad Deriving acceleration in elliptic cylindrical coordinates

  • mishima
  • · Replies 4 ·
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4

Graduate Generate a gamma curve with values

  • wildonion
  • · Replies 1 ·
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1

Undergrad How to calculate the equation of a Hyperbola

  • Dinoduck94
  • · Replies 7 ·
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7

Undergrad Partial derivative interpretation

  • Celso
  • · Replies 3 ·
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3
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1

Graduate Fourier series technique to show that the following series sum to the quantities

  • maddogtheman
  • · Replies 1 ·
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1

Undergrad Good Multivariable Calculus reference text

  • chipsandwich
  • · Replies 1 ·
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1

Undergrad Analytic continuation of a dilogarithm

  • CAF123
  • · Replies 1 ·
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1

Undergrad Time evolution of a Jacobian determinant

  • Apashanka
  • · Replies 22 ·
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22

How to evaluate a double integral over a bounded region?

  • mduffy
  • · Replies 5 ·
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5

Undergrad Why wasn't this symbol "swapped"?

  • SamRoss
  • · Replies 2 ·
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2

Finding Discontinuities: Multiply by Conjugate?

  • RidiculousName
  • · Replies 4 ·
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4

How Do You Rearrange dS/dt = (n-x-rS)(L-1) to Solve for t?

  • BSLAHi
  • · Replies 1 ·
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1

Undergrad Why is the Laplace transform unchanged when t is replaced with -t?

  • SamRoss
  • · Replies 2 ·
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2

Undergrad Derivation of Divergence in Cartesian Coordinates

  • Zexuo
  • · Replies 4 ·
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4

Undergrad Why do I get two different values for an integral?

  • Mr Davis 97
  • · Replies 5 ·
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5

Undergrad Retaining Linear Terms of v and δ in Expansion Calculations

  • Apashanka
  • · Replies 5 ·
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5

Undergrad Why Does the Electric Field Calculation Diverge Inside the Volume?

  • Mike400
  • · Replies 4 ·
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4

Where Do Polar Curves r=5sin(theta) and r=5cos(theta) Intersect?

  • joshuapeterson
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1

205.8.9 Find the derivative of the function

  • karush
  • · Replies 3 ·
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3

Undergrad Fourier Analysis: What is the Difference with (w-wo)?

  • hanson
  • · Replies 1 ·
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1

Undergrad Is there an algebraic derivation of the area element in polar coordinates?

  • SamRoss
  • · Replies 11 ·
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11

Undergrad Riemann Integral: Does g(x)=f(x) Almost Everywhere?

  • mathman
  • · Replies 28 ·
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28

Graduate Continuous formula for area of segment of a circle

  • Skaperen
  • · Replies 1 ·
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1

Graduate Deriving equations from fourier series representations

  • seanbow
  • · Replies 1 ·
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1
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3

Undergrad Vector analysis interactive 3D graphics for line and surface integrals

  • jackiefrost
  • · Replies 1 ·
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1

High School Justification for cancelling dx in an integral

  • SamRoss
  • · Replies 4 ·
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4

Graduate Is a C^1 diffeomorphism with f of class C^k also a C^k diffeomorphism?

  • Avogadro Number
  • · Replies 3 ·
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3

Solving Integral Confusion: Limits & Periods

  • Vali
  • · Replies 1 ·
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1

Undergrad How to Expand the Inverse Function of a Given Function?

  • kent davidge
  • · Replies 11 ·
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11

Graduate Extending volumes of revolution to the fourth dimension

  • 2dB+2dB~5dB
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1

Undergrad The product of 2 infinite sums

  • dyn
  • · Replies 5 ·
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5

High School Generating the formula for the coefficients of an alternating series

  • Matt Benesi
  • · Replies 17 ·
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17

Insights Parameterization and surface integrals

  • LCKurtz
  • · Replies 3 ·
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3

Undergrad Can the Total Time Derivative Function in the Lagrangian Depend on Velocities?

  • kent davidge
  • · Replies 6 ·
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6

High School Learn why we get the area of a function by integrate it

  • unseensoul
  • · Replies 1 ·
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1

Undergrad Practical Problems Involving Differentiation/Integration/Limits

  • Crabman
  • · Replies 1 ·
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1

Undergrad What is the Correct Formula for the Sequence x_0 in Terms of S?

  • JDude13
  • · Replies 1 ·
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1

Graduate Derivative of ##\theta## w.r.t. ##a##: A Detailed Explanation

  • a.mlw.walker
  • · Replies 1 ·
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1

Graduate How can we solve sums of powers of integers using differences and integrals?

  • eljose
  • · Replies 1 ·
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1

Graduate Can Integrals Take Different Values Without Being Equal?

  • rs123
  • · Replies 1 ·
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1

Undergrad Purpose of parametric equations

  • xyz3003
  • · Replies 1 ·
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1

High School How Do Discrete Derivatives and Integrals Work in Calculus?

  • ForceBoy
  • · Replies 2 ·
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2

Graduate How Do Series Converge in Normed Spaces?

  • Greg Bernhardt
  • · Replies 5 ·
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5

Graduate How to find maximum change in the following scenario?

  • PatternSeeker
  • · Replies 1 ·
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1

Undergrad What's the difference between the Riemann & Darboux Integrals?

  • swampwiz
  • · Replies 3 ·
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3

Limit of the smallest function value

  • lfdahl
  • · Replies 1 ·
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1

Graduate Challenge I: Concavity, solved by Millenial

  • Greg Bernhardt
  • · Replies 1 ·
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1

Undergrad Mathematical foundation for spherical and cylindrical coordinates

  • intwo
  • · Replies 1 ·
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1

Undergrad Finding Upper and Lower Limits of Sn

  • Ka Yan
  • · Replies 1 ·
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1

Graduate How to Find Potential Functions? A 10 Minute Introduction

  • Greg Bernhardt
  • · Replies 1 ·
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1

Undergrad What is implicit differentiation

  • Greg Bernhardt
  • · Replies 1 ·
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1

Undergrad What are the commonly encountered indeterminate forms in algebraic functions?

  • Greg Bernhardt
  • · Replies 1 ·
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1

Undergrad How Does L'Hôpital's Rule Solve Indeterminate Forms in Calculus?

  • Greg Bernhardt
  • · Replies 1 ·
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1

Undergrad What is the power rule for taking derivatives of polynomial functions?

  • Greg Bernhardt
  • · Replies 1 ·
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1

Undergrad What is the mean value theorem

  • Greg Bernhardt
  • · Replies 1 ·
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1

Undergrad What is Integration By Parts? A 5 Minute Introduction

  • Greg Bernhardt
  • · Replies 2 ·
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2

Graduate Gradient Definition: What is the Vector Operator \mathbf\nabla?

  • Greg Bernhardt
  • · Replies 1 ·
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1

Graduate The exponential function e^x and its properties

  • Greg Bernhardt
  • · Replies 1 ·
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1

Graduate What is the history and significance of Euler's formula?

  • Greg Bernhardt
  • · Replies 1 ·
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1

Undergrad Chain Rule Definition: What Is It?

  • Greg Bernhardt
  • · Replies 1 ·
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1

Undergrad Ti-84 strange derrivative problem

  • Bassie
  • · Replies 1 ·
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1

Undergrad Lie derivatives: ##L_Xf=[X,f]##The product rule Definition/Summary - What is it?

  • Greg Bernhardt
  • · Replies 1 ·
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1

Undergrad What is the Quotient Rule and how is it used to find derivatives?

  • Greg Bernhardt
  • · Replies 1 ·
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1