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 Determining Whether Solution is Vector vs Scalar?

  • Ascendant0
  • · Replies 6 ·
Replies
6

High School Graphing trip efficiency - distance over time

  • DaveC426913
  • · Replies 14 ·
Replies
14

Undergrad How to manipulate functions that are not explicitly given?

  • Rick16
  • · Replies 16 ·
Replies
16

Graduate How to take the spatial derivative of quaternions

  • FQVBSina_Jesse
  • · Replies 8 ·
Replies
8

Undergrad Derivative of the area is the circumference -- generalization

  • 1MileCrash
  • · Replies 4 ·
Replies
4

Undergrad Question on an infinite summation series

  • phymath7
  • · Replies 5 ·
Replies
5

Undergrad Antipodal points and temperature and other angles

  • srfriggen
  • · Replies 3 ·
Replies
3

High School Why instantaneous velocity formula doesn't give infinity

  • adjurovich
  • · Replies 10 ·
Replies
10

Graduate How do I apply the method of steepest descents to this integral?

  • a1234
  • · Replies 1 ·
Replies
1

Undergrad How to find a point that corresponds to hyperreal number?

  • Mike_bb
  • · Replies 10 ·
Replies
10

Undergrad Landscape Fabric Roll

  • erobz
  • · Replies 8 ·
Replies
8

Undergrad What does dv/dt mean, how is it used, and when?

  • badr
  • · Replies 9 ·
Replies
9

Undergrad ##L^2## square integrable function Hilbert space

  • cianfa72
  • · Replies 11 ·
Replies
11

Undergrad Uniform convergence of f∘Γ to ζ in conformal mapping proof

  • MathLearner123
  • · Replies 1 ·
Replies
1

Undergrad Monad in non-standard analysis

  • nomadreid
  • · Replies 8 ·
Replies
8

Undergrad Did Math DF's integral calculator make a glaring mistake?

  • SmartyPants
  • · Replies 8 ·
Replies
8

Undergrad Question on Lambert W function

  • neilparker62
  • · Replies 27 ·
Replies
27

Undergrad Taking the derivative of a function

  • mathgenie
  • · Replies 15 ·
Replies
15

High School Change of variables in circle area proof using x = r cos(θ)

  • Chenkel
  • · Replies 29 ·
Replies
29

High School Left and right derivatives in the fundamental theorem of calculus

  • Chenkel
  • · Replies 2 ·
Replies
2

Undergrad Is g(x) Equal to g(a) If Their Integrals Are Equivalent?

  • Steve Zissou
  • · Replies 20 ·
Replies
20

Undergrad Differentiability of a Multivariable function

  • lys04
  • · Replies 1 ·
Replies
1

High School Why does integrating x³ give L⁴ when area should be L²?

  • Chenkel
  • · Replies 2 ·
Replies
2

High School Can we use the tangental point to find gradients?

  • lioric
  • · Replies 11 ·
Replies
11

Graduate Can you cancel a function from both sides of an integral equation?

  • CECE2
  • · Replies 4 ·
Replies
4

High School Change of variables limits for integral with x = r cos θ

  • Chenkel
  • · Replies 2 ·
Replies
2

Undergrad Can a function inside the integral be erased?

  • CECE2
  • · Replies 8 ·
Replies
8

High School Having trouble deriving the volume of an elliptical ring toroid

  • SmartyPants
  • · Replies 4 ·
Replies
4

High School Why does integrating πr² give the wrong sphere volume formula?

  • Chenkel
  • · Replies 16 ·
Replies
16

Undergrad Determination of error in interpolating polynomial

  • MAXIM LI
  • · Replies 5 ·
Replies
5

Undergrad Definite integral is undefined and not undefined

  • dyn
  • · Replies 8 ·
Replies
8

High School Calculating shaded area: I'm getting discrepancies between methods

  • SmartyPants
  • · Replies 3 ·
Replies
3

Undergrad What's my mistake in this integration problem?

  • murshid_islam
  • · Replies 8 ·
Replies
8

Undergrad How do I format equations correctly? (Curl, etc.)

  • Brix12
  • · Replies 3 ·
Replies
3

Graduate Is the functional derivative a function or a functional

  • Sonderval
  • · Replies 4 ·
Replies
4

Undergrad Why Does an Integrand Equaling Zero at x=1 Not Determine the Integral's Value?

  • Hornbein
  • · Replies 2 ·
Replies
2

Undergrad Double integral over a rectangular region

  • Martyn Arthur
  • · Replies 10 ·
Replies
10

Undergrad Integration with different infinitesimal intervals

  • JohnnyGui
  • · Replies 31 ·
2
Replies
31

High School How Do You Derive the Formula for sin(x-y)?

  • farfromdaijoubu
  • · Replies 5 ·
Replies
5

Undergrad Continuity of Mean Value Theorem

  • jostpuur
  • · Replies 12 ·
Replies
12

Undergrad Finding position vector in general local basis

  • farfromdaijoubu
  • · Replies 1 ·
Replies
1

Undergrad Inner product vs dot/scalar product

  • cianfa72
  • · Replies 4 ·
Replies
4

Graduate Memory issues in numerical integration of oscillatory function

  • cyberpotato
  • · Replies 3 ·
Replies
3

Graduate An interesting series - what does it converge to?

  • kairama15
  • · Replies 5 ·
Replies
5

Undergrad What is the third term in the Laplacian of a cross product?

  • William Crawford
  • · Replies 6 ·
Replies
6

Undergrad Integrating a product of exponential and trigonometric functions

  • Talon44
  • · Replies 21 ·
Replies
21

High School How do I invert this exponential function?

  • martix
  • · Replies 3 ·
Replies
3

Undergrad Relation Between Beta and Gamma functions

  • PLAGUE
  • · Replies 1 ·
Replies
1

Undergrad Best way to cut a cake to avoid dryness

  • adimare
  • · Replies 5 ·
Replies
5

Undergrad How does the ratio test fail and the root test succeed here?

  • psie
  • · Replies 6 ·
Replies
6

High School Can We Simplify the Taylor Series Expansion for e^(f(x,y))?

  • thatboi
  • · Replies 3 ·
Replies
3

Undergrad Calculating the change of the volume of a sphere using this integral

  • cppIStough
  • · Replies 3 ·
Replies
3

Graduate Definition of first order infinitesimal using equivalence class

  • Mike_bb
  • · Replies 3 ·
Replies
3

Undergrad Why prove Taylor's theorem with p(x)=q(x)−((b−a)^n/(b−x)^n)q(a)?

  • PLAGUE
  • · Replies 9 ·
Replies
9

Undergrad Orthogonal Basis of Periodic Functions: Beyond Sines and Cosines

  • QuantumCuriosity42
  • · Replies 139 ·
5
Replies
139

Undergrad What Are Common Misconceptions About the Dirac Delta Function?

  • gionole
  • · Replies 25 ·
Replies
25

Graduate Cauchy’s integral theorem and residue theorem, what’s the difference

  • GGGGc
  • · Replies 1 ·
Replies
1

Undergrad Dirac delta function integrated on a finite interval

  • Hill
  • · Replies 10 ·
Replies
10

Graduate Meaning of Gauss' mean value theorem?

  • GGGGc
  • · Replies 4 ·
Replies
4

Insights Series in Mathematics: From Zeno to Quantum Theory

  • fresh_42
  • · Replies 2 ·
Replies
2

High School Integration by parts for ∫sin⁻¹x dx

  • mcastillo356
  • · Replies 4 ·
Replies
4

Insights Epsilontic – Limits and Continuity

  • fresh_42
  • · Replies 2 ·
Replies
2

Undergrad On (real) entire functions and the identity theorem

  • psie
  • · Replies 2 ·
Replies
2

Graduate Integration of trigonometric functions

  • Indir
  • · Replies 4 ·
Replies
4

High School I'm trying to find a general formula for a harmonic(ish) series

  • al4n
  • · Replies 8 ·
Replies
8

Undergrad The Euler-Lagrange equation and the Beltrami identity

  • Cleonis
  • · Replies 1 ·
Replies
1

Undergrad On convolution theorem of Laplace transform: Schiff

  • psie
  • · Replies 4 ·
Replies
4

High School Understanding exponentiation and logarithms together

  • mcastillo356
  • · Replies 12 ·
Replies
12

High School Integral of cosecant function: understanding different approaches

  • mcastillo356
  • · Replies 14 ·
Replies
14

High School 1 divided by infinity equals zero (always?)

  • njh
  • · Replies 2 ·
Replies
2

Graduate Is the following sum a part of any known generalized function?

  • tworitdash
  • · Replies 2 ·
Replies
2

Closed form solution to sum of sine positive zero-crossings

  • Purplepixie
  • · Replies 5 ·
Replies
5

Undergrad How is the derivative of an inexact differential defined?

  • spin_100
  • · Replies 4 ·
Replies
4

Graduate Is the Gamma Function of Negative Integers Defined?

  • LagrangeEuler
  • · Replies 9 ·
Replies
9

Graduate Summing over continuum and uncountable numerocities

  • Anixx
  • · Replies 1 ·
Replies
1

Undergrad Relation between change of pressure and temperature in adiabatic process

  • T C
  • · Replies 1 ·
Replies
1

High School Trigonometric substitution, a case I'd like to share

  • mcastillo356
  • · Replies 3 ·
Replies
3

Undergrad Challenging Integrals in Calculus 1-2: Expand Your Problem-Solving Skills!

  • pakmingki
  • · Replies 194 ·
7
Replies
194

Undergrad Lipschitz continuity of vector-valued function

  • psie
  • · Replies 3 ·
Replies
3

High School Why use K instead of C for the constant in integration by parts

  • mcastillo356
  • · Replies 2 ·
Replies
2

Undergrad Result of this integral in large Lambda limit

  • Siupa
  • · Replies 12 ·
Replies
12

Undergrad Finding the derivative of a characteristic function

  • MagentaCyan
  • · Replies 5 ·
Replies
5

Insights Beginner's Guide to Precalculus, Calculus and Infinitesimals

  • bhobba
  • · Replies 3 ·
Replies
3

Undergrad Questions about these Trigonometry Graphs involving sin() and cos()

  • pairofstrings
  • · Replies 3 ·
Replies
3

Insights Precalculus, Calculus and Infinitesimals

  • bhobba
  • · Replies 0 ·
Replies
0

Undergrad Taylor series of 1/ln(t+1) at t=0

  • laurabon
  • · Replies 10 ·
Replies
10

Insights What Are Numbers? - Insights for Beginners

  • bhobba
  • · Replies 0 ·
Replies
0

Undergrad Difference between d/dt and d(theta)/dt? Why is it dr or ds/dt?

  • Anonymous001
  • · Replies 3 ·
Replies
3

Undergrad Is My Calculus of Variations Approach Correct?

  • erobz
  • · Replies 12 ·
Replies
12

High School Why is this definite integral a single number?

  • mcastillo356
  • · Replies 20 ·
Replies
20

Undergrad Substitution in a definite integral

  • mcastillo356
  • · Replies 6 ·
Replies
6

Undergrad Can calculus be used to determine how much total interest I would pay?

  • sevensages
  • · Replies 20 ·
Replies
20

High School I need to check if I am right solving this integral

  • mcastillo356
  • · Replies 2 ·
Replies
2

Undergrad Tensor Product of Two Hilbert Spaces

  • ARoyC
  • · Replies 9 ·
Replies
9

Undergrad Multivariable fundamental calculus theorem in Wald

  • sphyrch
  • · Replies 2 ·
Replies
2

Undergrad Taylor expansion of f(x)=arctan(x) at infinity

  • laurabon
  • · Replies 2 ·
Replies
2

High School I don't recognize this limit of Riemann sum

  • mcastillo356
  • · Replies 2 ·
Replies
2

High School What Is a Limit of a Function? A 5 Minute Introduction

  • Greg Bernhardt
  • · Replies 2 ·
Replies
2

Undergrad Integration of ##e^{-x^2}## with respect to ##x##

  • chwala
  • · Replies 4 ·
Replies
4