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 Using different limit laws give different answer?

  • FaroukYasser
  • · Replies 8 ·
Replies
8

Graduate Using analytic continuation with residue theorem for real integrals

  • "Don't panic!"
  • · Replies 9 ·
Replies
9

Graduate Multivariable IBP in the variation of a functional

  • avikarto
  • · Replies 2 ·
Replies
2

Using Component Method to Add Vectors

  • shamieh
  • · Replies 2 ·
Replies
2

Graduate Confusion Surrounding Dirac Delta Comb Sampling: Why is δ(0) Infinite?

  • Terocamo
  • · Replies 5 ·
Replies
5

Shifting Graphs: Finding Corresponding Points

  • Taryn1
  • · Replies 2 ·
Replies
2

Graduate Fourier Transform of Dirac Comb/Impulse Train

  • Terocamo
  • · Replies 3 ·
Replies
3

Graduate Newton's view on Line generation

  • Vinay080
  • · Replies 4 ·
Replies
4

Graduate Unit Tangent Vector in a Scalar Field

  • auditt241
  • · Replies 3 ·
Replies
3

Undergrad Is e(-iπ) + 1 = 0 the same as e(iπ) + 1 = 0?

  • mnada
  • · Replies 3 ·
Replies
3

Average rate of change in the function from x1 to x2

  • Taryn1
  • · Replies 5 ·
Replies
5

Graduate Branch Cuts for Complex Powers: How Should We Choose the Branch?

  • spaghetti3451
  • · Replies 5 ·
Replies
5

Graduate How Do You Find the Residues of Poles?

  • spaghetti3451
  • · Replies 3 ·
Replies
3

Graduate Smallest x Value for e^(x^2): Is it Undefined?

  • John Sovereign
  • · Replies 6 ·
Replies
6

Graduate Finding the Sum of A + \sqrt{A^2 - B^2} and U + \sqrt{U^2 - V^2}

  • Bruno Tolentino
  • · Replies 1 ·
Replies
1

Undergrad How Do You Find Volumes of Solids of Revolution in These Complex Scenarios?

  • PFuser1232
  • · Replies 11 ·
Replies
11

Graduate Prove existence of open interval with non-zero derivative

  • meriadoc
  • · Replies 9 ·
Replies
9

Solve Dxdy Word Problem: Height of Bulb at $(1.25, 0)$

  • karush
  • · Replies 7 ·
Replies
7

Undergrad How is the area of a circle calculated using calculus?

  • Brajesh kedia
  • · Replies 7 ·
Replies
7

Graduate A chord at the edges of a graph

  • Kostas Tzim
  • · Replies 7 ·
Replies
7

Undergrad Limit problem with square root

  • chimath35
  • · Replies 10 ·
Replies
10

Undergrad How to Express Cos 3x as a Polynomial?

  • basty
  • · Replies 5 ·
Replies
5

Solving position for boat with drag proportional to V^n

  • ognik
  • · Replies 3 ·
Replies
3

Undergrad Intermediate value theorem

  • PFuser1232
  • · Replies 6 ·
Replies
6
Replies
2

Graduate Solving Unexpected Integral Problem with Bessel Functions

  • sukharef
  • · Replies 9 ·
Replies
9

Minimizing surface area for a cylinder with volume 498.76 cm³

  • JessicaDay
  • · Replies 1 ·
Replies
1

Graduate How can a particle move along a closed curve in a conservative field?

  • amenhotep
  • · Replies 13 ·
Replies
13

Undergrad Is the Domain of an Antiderivative Always a Subset?

  • PFuser1232
  • · Replies 2 ·
Replies
2

Undergrad Inverse function of a quarter circle gives me same function

  • jaysquestions
  • · Replies 9 ·
Replies
9

Graduate Applied maths, monotonic function

  • nobahar
  • · Replies 5 ·
Replies
5

Graduate How to set the variation of an integral to 0?

  • phoneketchup
  • · Replies 2 ·
Replies
2

Undergrad Finding the limit of a rational expression

  • Mr Davis 97
  • · Replies 2 ·
Replies
2
Replies
1

Graduate Combining power series with different index shifts

  • MidgetDwarf
  • · Replies 4 ·
Replies
4

Undergrad How Do You Integrate (dx/dt) dx in Physics Problems?

  • danunicamp
  • · Replies 3 ·
Replies
3

Undergrad How to Use Integral to Solve Problems

  • Stephanus
  • · Replies 6 ·
Replies
6

Graduate Second shifting theorem of Laplace transform

  • Sturk200
  • · Replies 4 ·
Replies
4

What Are the Maximum and Minimum Values of P Given the Equation?

  • anemone
  • · Replies 4 ·
Replies
4

Undergrad Justification for cancelling terms in limits?

  • Mr Davis 97
  • · Replies 19 ·
Replies
19

Undergrad The biggest value for sin(x)/x

  • Stephanus
  • · Replies 16 ·
Replies
16

Undergrad How Do You Solve Equations with Floor Functions and Logarithms?

  • inqusoc
  • · Replies 1 ·
Replies
1

Range of Uniform convergence of dirchlet series

  • ognik
  • · Replies 41 ·
2
Replies
41

Undergrad Finding eigenvectors for matrix with eigenvalues 8 and 0

  • Tzabcan
  • · Replies 2 ·
Replies
2

Undergrad Derivative of tan(2x) - cot(2x) on (0,π/4)

  • NooDota
  • · Replies 2 ·
Replies
2

Undergrad Proof limit derivatave of sin(x)

  • Stephanus
  • · Replies 47 ·
2
Replies
47

Undergrad Confirming limits of sine, cosine, and their ratios as h approaches 0

  • Stephanus
  • · Replies 22 ·
Replies
22

Undergrad Why is the factor 2 missing in the j component expansion?

  • Vrbic
  • · Replies 1 ·
Replies
1

Graduate Integral involving exponential functions

  • lequan
  • · Replies 3 ·
Replies
3

Graduate Gradient version of divergence theorem?

  • Cygnus_A
  • · Replies 4 ·
Replies
4

Graduate How Do You Apply ζ in an Initial Value Problem When Using Laplace Transform?

  • bbq pizza
  • · Replies 1 ·
Replies
1

Graduate Key difference between two real and single complex variable?

  • SVN
  • · Replies 4 ·
Replies
4
Replies
5

Undergrad Graphing a variation of y=sin-x

  • JR Sauerland
  • · Replies 14 ·
Replies
14

Undergrad What does d represent in the context of \(\frac{dX}{dY}\) in Relativity?

  • Stephanus
  • · Replies 41 ·
2
Replies
41

Undergrad Volume of Solid of Revolution with Disk Method: y=5x^2, x=1, y=0 about x-axis

  • Bricenob
  • · Replies 4 ·
Replies
4

Undergrad What is double integral by interpretation?

  • vjacheslav
  • · Replies 13 ·
Replies
13

Stefan-Boltzman law derivation and integral tricks

  • clumps tim
  • · Replies 3 ·
Replies
3

Undergrad Taylor Exansion Series Derivation

  • Devin
  • · Replies 6 ·
Replies
6

Graduate How can the difficult Gaussian integral be solved using standard tricks?

  • Ben D.
  • · Replies 1 ·
Replies
1

Graduate What is the purpose of a surface integral and how is it calculated?

  • B3NR4Y
  • · Replies 6 ·
Replies
6

Undergrad Solving x+x^2+x^3+x^4... = 14 for x

  • Niaboc67
  • · Replies 2 ·
Replies
2

Graduate What Does Sigma Represent in a 2D Gaussian Distribution?

  • TheCanadian
  • · Replies 6 ·
Replies
6

Graduate Periodic Functions: Is Irrationality the Cause of Non-Periodicity?

  • Wminus
  • · Replies 8 ·
Replies
8

Undergrad Finding x when x+x²+x³+x⁴+... equals 14

  • Niaboc67
  • · Replies 4 ·
Replies
4

How Does a 3% Increase in Radius Affect Blood Flow?

  • tc903
  • · Replies 1 ·
Replies
1

Tschirnhausen Curve: Finding Tangents at a Given Point

  • tc903
  • · Replies 1 ·
Replies
1

Graduate Spivak's Calculus on Manifolds: Theorem 5-3

  • exclamationmarkX10
  • · Replies 4 ·
Replies
4

Graduate How Can We Simplify This Gravitomagnetic Integral?

  • olgerm
  • · Replies 2 ·
Replies
2

Applications of differentiation

  • Colin2
  • · Replies 5 ·
Replies
5

Undergrad Calculating Line Integrals on the Surface of a Sphere

  • fricke
  • · Replies 2 ·
Replies
2

Calculating Curve Length: A Shortcut for Solving Complex Equations?

  • mathforsure
  • · Replies 4 ·
Replies
4

Undergrad How come? Summation, identity?

  • shanepitts
  • · Replies 1 ·
Replies
1

Undergrad Why Does This Integral Involve Switching Limits and Using Logarithms?

  • Niaboc67
  • · Replies 11 ·
Replies
11

Creating a function for the total change theorem

  • zimmertr
  • · Replies 3 ·
Replies
3

Undergrad How to Compute dx/dt for z = e^(xy^2) When t = pi/2?

  • hiineko
  • · Replies 20 ·
Replies
20

Graduate Dot product for vectors in spherical coordinates

  • Wminus
  • · Replies 5 ·
Replies
5

Undergrad How do I find the gradient of a 3D vector?

  • Saracen Rue
  • · Replies 6 ·
Replies
6

Undergrad Cannot follow this argument pertaining to geometric series.

  • MidgetDwarf
  • · Replies 3 ·
Replies
3

Graduate Finding the nth derivative of e^ax*sin(ax+b)

  • Tanny Nusrat
  • · Replies 4 ·
Replies
4

Undergrad How do I solve the following limit?

  • BrainFood
  • · Replies 2 ·
Replies
2

Undergrad Why does large space correspond to low wavenumber in Fourier Transform?

  • shirin
  • · Replies 1 ·
Replies
1

Graduate Strange invocation of Taylor series

  • noahcharris
  • · Replies 6 ·
Replies
6

High School Are There Any Websites for Practicing Limits?

  • NooDota
  • · Replies 4 ·
Replies
4

High School Is the reciprocal of infinity, zero?

  • Paul Dirac
  • · Replies 8 ·
Replies
8

Can You Solve This Limit Definition Problem?

  • Francolino
  • · Replies 6 ·
Replies
6

Graduate Making sense of vector derivatives

  • Mappe
  • · Replies 2 ·
Replies
2

Graduate Calculus by Spivak, Chapter 2, Problem 6, Part 3

  • Nafi Khandaker
  • · Replies 2 ·
Replies
2

Are the two sequences decreasing, inferiorly bounded, and converging to 0?

  • Francolino
  • · Replies 3 ·
Replies
3

High School Why are some precalc topics taught but not used in calc?

  • annoyinggirl
  • · Replies 4 ·
Replies
4

Graduate Why does f^i(x) in this series formula always equal zero?

  • beta23
  • · Replies 3 ·
Replies
3

Graduate Simplify the proof of different vector calculus identities

  • Mappe
  • · Replies 4 ·
Replies
4

Undergrad Composing functions with substitution u = 2x² + 10

  • christian0710
  • · Replies 5 ·
Replies
5

Differentiation and Tangent Lines.

  • tc903
  • · Replies 13 ·
Replies
13

Finding a power series for coth without division

  • ognik
  • · Replies 9 ·
Replies
9

What is the Condition for Convergence of Sequence $p_{n}$?

  • Francolino
  • · Replies 9 ·
Replies
9

Undergrad Is My Interpretation of the Integral Rule Correct?

  • christian0710
  • · Replies 2 ·
Replies
2

Undergrad Does the Intermediate Value Theorem Allow a Zero Value in a Non-Zero Interval?

  • christian0710
  • · Replies 2 ·
Replies
2

Graduate Divergence of radial unit vector field

  • trini_sun
  • · Replies 5 ·
Replies
5

Undergrad Geometric interpretations of double/triple integrals

  • taylor__hasty
  • · Replies 4 ·
Replies
4