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 Is the (ε, δ)-Definition of Limits Sufficient for Uniqueness?

  • Noesis
  • · Replies 5 ·
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Undergrad How Do You Solve the Integral of (26x+36)/[(3x-2)(x^2+4)] dx?

  • dangish
  • · Replies 3 ·
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Undergrad Integration (Spherical) Question

  • yUNeeC
  • · Replies 6 ·
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6

Graduate Set of discontinuties with measure 0

  • Buri
  • · Replies 1 ·
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1

Graduate Fourier series and parseval's theorem

  • marshmallow
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Undergrad Understanding Summation Notation

  • y35dp
  • · Replies 2 ·
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2

Graduate Can a Bound be Found for the Error in Higher Order Taylor Series?

  • hadron23
  • · Replies 2 ·
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Undergrad What is the condition for a function to be integrable with improper integral?

  • LHeiner
  • · Replies 2 ·
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2

Graduate From integral equation to normal equation

  • ManishR
  • · Replies 5 ·
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5

Undergrad Calculating the Primitive of sqrt(x^2-4)/x^4 using Substitution Method

  • joao_pimentel
  • · Replies 7 ·
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7

High School How you get results for logarithms

  • lindd
  • · Replies 2 ·
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2

Undergrad L'Hopital's Rule and Infinite Limits

  • bombadil
  • · Replies 3 ·
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3

Graduate Multiplication operator on L² for Lp spaces and generalizing continuity

  • Hjensen
  • · Replies 13 ·
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Undergrad Triangle Inequality, Integrals

  • psholtz
  • · Replies 1 ·
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High School Graph of function of 2 variables

  • jahlin
  • · Replies 7 ·
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7

Undergrad Green's Theorem->Does it work for ?

  • cigarette
  • · Replies 8 ·
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8

Graduate Could you help me better understand covers, open covers, subcovers ?

  • Pen_to_Paper
  • · Replies 2 ·
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2

Undergrad Good complex analysis books for self-study

  • murshid_islam
  • · Replies 8 ·
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8

Graduate Help Understanding Dirac Delta Function in Lecture Notes

  • hasan_researc
  • · Replies 2 ·
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2

Undergrad Classifying a turning point when all derivatives equal zero

  • Owen-
  • · Replies 7 ·
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7

Undergrad Why use der-f instead of df in partial derivatives?

  • marschmellow
  • · Replies 5 ·
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5

Undergrad Integrating irrational functions

  • Marin
  • · Replies 15 ·
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15

High School What's a recommended online book for studying analysis for the Physics Olympiad?

  • edo1493
  • · Replies 3 ·
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3

Undergrad Is f(x)=1/root x an Integrable Function Whose Square is Not?

  • ss_1985
  • · Replies 1 ·
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Graduate How Can There Exist a Partition P' Such That U(f,P') - L(f,P') < Epsilon?

  • Buri
  • · Replies 4 ·
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4

Graduate 3D Generalization of Surface Intregral

  • maverick_starstrider
  • · Replies 3 ·
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3

Undergrad Finding derivatives of radical and rational functions

  • madeeeeee
  • · Replies 1 ·
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1

Undergrad Average rate of change of ball thrown from 20 m roof

  • madeeeeee
  • · Replies 1 ·
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1

Graduate Solving Mapping Problem: Let D = {x ∈ R, -3 ≤ x ≤ 5, x ≠ 0}

  • gutnedawg
  • · Replies 2 ·
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2

Graduate Trouble with function definition

  • monea83
  • · Replies 3 ·
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3

Undergrad Sum of 1/((2^n)(n-1)) from n=2 to infinity

  • frankietucci
  • · Replies 2 ·
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2

Graduate Why Are the Rationals Not Locally Compact?

  • philosophking
  • · Replies 5 ·
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5

Graduate How Does the Integral Property Relate to the Dirac Delta Function?

  • Apteronotus
  • · Replies 2 ·
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2

Graduate Fourier Transform of One-Sided Convolution

  • thrillhouse86
  • · Replies 3 ·
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Graduate Integral of vector valued function

  • jostpuur
  • · Replies 2 ·
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2

Graduate Bunch of logic-speak: can't understand

  • Char. Limit
  • · Replies 2 ·
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2

Undergrad What Should I Prepare for in Calculus 2 This Spring?

  • justPAB
  • · Replies 5 ·
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Undergrad Effect of adding two per share quantities

  • musicgold
  • · Replies 4 ·
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4

Graduate Can every open subset of R be written as a countable union of open intervals?

  • Buri
  • · Replies 4 ·
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4

Graduate What is an Index Set and How is it Defined?

  • Buri
  • · Replies 3 ·
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3

Graduate X Vector in 2nd Order Taylor Series Formula w/ Hessian Matrix

  • jaguar7
  • · Replies 1 ·
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Undergrad What is the relationship between the gradient and the normal vector?

  • jaguar7
  • · Replies 2 ·
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2

Graduate Why are neither sin(x^-1) nor xsin(x^-1) continuous at x=0?

  • coverband
  • · Replies 12 ·
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12

Undergrad How to take the Partial Derivatives of a Function that is Defined Implicitly?

  • jaguar7
  • · Replies 1 ·
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High School Where are integrals used outside of velocity and area problems?

  • RepoMan
  • · Replies 6 ·
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6

Graduate Controllability Matrix [Control Theory]

  • yaang
  • · Replies 4 ·
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4

Graduate Proving d<r>/dt = <dr/dt>: A Case Study

  • Silva_physics
  • · Replies 1 ·
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High School How to memorize the unit circle and its radian values

  • justPAB
  • · Replies 12 ·
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12

Undergrad Deduce an integral I came across

  • Funzies
  • · Replies 3 ·
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3

Undergrad Integral of Function: Solve Here!

  • endoparasite
  • · Replies 3 ·
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Graduate Calculating Integral for $(1+2^kw)^aD(y,z,w)$

  • fderingoz
  • · Replies 2 ·
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Undergrad Why Do Complete Elliptic Integrals Challenge Many Learners?

  • endoparasite
  • · Replies 4 ·
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4

Undergrad Solving a system of 6 equations with 6 unknowns

  • buggykong
  • · Replies 2 ·
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2

Undergrad Is a Point Inside or Outside a Complex Shape Using the Odd-Even Rule?

  • sachinism
  • · Replies 2 ·
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2

Graduate Any good books for the following topics?

  • joe_f
  • · Replies 1 ·
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1

Graduate Problem with proof of Chain rule for f:R->R

  • Bacle
  • · Replies 6 ·
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6

Undergrad Continuity of piecewise function undefined for 1<x<=2

  • Repetit
  • · Replies 1 ·
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1

Undergrad How does the chain rule apply to logarithmic differentiation?

  • Owen-
  • · Replies 2 ·
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2

Where Can I Find a PDF Copy of Spivak Calculus on Manifolds?

  • siyacar
  • · Replies 4 ·
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4

Graduate Solve Derivative Problem: Lim {P(x+3h)+P(x-3h)-2P(x)}/h^2

  • lhuyvn
  • · Replies 3 ·
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3

Undergrad Calculating a value that depends on itself.

  • tomyuey938
  • · Replies 6 ·
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6

Graduate Proving Fat Cantor Function is Non-Riemann Integrable

  • Demon117
  • · Replies 5 ·
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5

Undergrad Fourier series - correspondence between complex and real coefficients.

  • theneedtoknow
  • · Replies 2 ·
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2

Graduate Inequality is exactly the one Rudin uses

  • mynameisfunk
  • · Replies 1 ·
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1

Undergrad How do you obtain the derivative of (sin(x))^x?

  • The_Brain
  • · Replies 11 ·
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11

Graduate Origin of Gradient Expansion Series

  • maverick_starstrider
  • · Replies 2 ·
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2

Undergrad What is the derivative of a unit step function with discontinuities at -2 and 2?

  • ColdStart
  • · Replies 7 ·
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7

High School How do I simplify equations with ln(x + a)?

  • Rionoer
  • · Replies 2 ·
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2

Graduate Dirac Delta as Gaussian functions

  • rajetk
  • · Replies 2 ·
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2

Graduate The Operation of Multiple Ranges in Definite Integration

  • Hypatio
  • · Replies 6 ·
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6

Undergrad Finding Distance Function with Increasing Outputs

  • onako
  • · Replies 8 ·
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8

Undergrad Largest rectangle inscribed in an isosceles right triangle

  • unf0r5ak3n
  • · Replies 1 ·
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1

Graduate Can Calculus Prove Equivalent Fluid Flow with Source and Wall Manipulation?

  • sumit oraon
  • · Replies 1 ·
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1

Undergrad What Is the Fortuin's Method in Potentiometric Titration?

  • aeacfm
  • · Replies 2 ·
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2

Graduate Lim sup an /bn = lim sup an / lim sup bn?

  • jem05
  • · Replies 5 ·
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5

Graduate Finding the limit of (1 - x^t)/t as t approaches 0 for x > 0

  • murshid_islam
  • · Replies 7 ·
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7

Undergrad Changing V(x) to V(t): Chain Rule Application?

  • StephenSF8
  • · Replies 3 ·
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3

Graduate Fourier Series based on 2 limits for x

  • mullzer
  • · Replies 2 ·
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2

Graduate Moving a function under an integral

  • NanakiXIII
  • · Replies 8 ·
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8

Graduate Why xy''+y=0 a problem but y''+xy=0 not?

  • nonequilibrium
  • · Replies 4 ·
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4

Undergrad Why does arctanh x equal half the log of (1+x)/(1-x)?

  • paulfr
  • · Replies 8 ·
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8

Graduate Series expansion of an integral

  • praharmitra
  • · Replies 4 ·
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4

High School Domain of f(x) = log₅(log₅(x + 2))

  • the_storm
  • · Replies 8 ·
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8

Graduate How many possible games of Go are there?

  • Archosaur
  • · Replies 1 ·
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1

Graduate Does passing the limit through intersection work in this G-delta proof?

  • dimitri151
  • · Replies 11 ·
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11

Graduate Implicit Function Theorem Question

  • Buri
  • · Replies 5 ·
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5

Graduate Evaluating a infinite-dimensional Gaussian integral

  • Karlisbad
  • · Replies 1 ·
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1

Graduate How to Visualize Minimizing Definite Integrals and Understand Stationary Points?

  • richardlhp
  • · Replies 3 ·
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3

Graduate Laplace transform of 1/√x(x+a) leading to complementary error function

  • 13senses
  • · Replies 1 ·
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1

Graduate Solving a carbon nanotube resonance frequency equation in Mathematica

  • Excom
  • · Replies 3 ·
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3

Graduate Are There Redundancies in the Terminology of Components in Mathematics?

  • jessicaw
  • · Replies 3 ·
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3

Graduate Is the Component of a Metric Space Always Open or Closed?

  • jessicaw
  • · Replies 5 ·
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5

Undergrad Maximum product for fixed sum of variables

  • Archosaur
  • · Replies 3 ·
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3

Undergrad A 16-Year-Old Asks: How Can I Apply Taylor Series to Delta-F?

  • richardlhp
  • · Replies 4 ·
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4

Undergrad Finding ellipse semi-axes ratio from two points with known y-coordinates

  • arkkis
  • · Replies 6 ·
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6

Graduate Volume of cube with three holes

  • Will_H
  • · Replies 38 ·
2
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38

Graduate Proving Cardinal Number of R = Cardinal Number of {x|0<x<1}

  • typhoonss821
  • · Replies 1 ·
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1

Undergrad Simplifying Complicated Fractions for Easier Calculus Differentiation

  • ggolub
  • · Replies 4 ·
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4

Graduate Is the Inverse Function Theorem Applicable to Complex Arcsin on C-{Pi/2+k*Pi}?

  • RoNN|3
  • · Replies 1 ·
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1

Undergrad Solving for the mass using Parametric Equations (Density Forumula)

  • EpiGen
  • · Replies 1 ·
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1