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 A canister is dropped from a helicopter 500m above the ground

  • gsphysics
  • · Replies 5 ·
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Graduate Integrals over chained functions

  • SchroedingersLion
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1

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

  • lamdc
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1

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
  • · Replies 3 ·
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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
  • · Replies 5 ·
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5

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

  • PainterGuy
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4

Graduate Optimal Filter Coefficients: Correlation versus Least Squares

  • Squatchmichae
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1

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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1

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
  • · Replies 1 ·
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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
  • · Replies 5 ·
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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
  • · Replies 2 ·
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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
  • · Replies 2 ·
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2

Graduate How Does Energy Convergence Relate to Fourier Series Representation?

  • Jag1972
  • · Replies 1 ·
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1

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
  • · Replies 1 ·
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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 If g(x)=f(x) on rationals and g is Riemann integrable, must g=f 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
  • · Replies 1 ·
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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