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 Infinity: The Limit Concept and Cantor Transfinites

  • Frank Peters
  • · Replies 11 ·
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11

Find a,b,c,d given max and min in cubic function

  • Bob123Bob
  • · Replies 4 ·
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4

Undergrad Gauss' Theorem -- Why two different notations are used?

  • sams
  • · Replies 5 ·
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5

High School What is the relationship between gradient and surfaces in tensor calculus?

  • Mathematicsresear
  • · Replies 9 ·
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9

Cumulative Distribution function in terms of Error function

  • TheFallen018
  • · Replies 1 ·
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1

High School Understanding Kinematics in Calculus for High School Students

  • solarmidnightrose
  • · Replies 6 ·
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6

Undergrad Change of order in double integrals

  • Jazzyrohan
  • · Replies 1 ·
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1

Calculus III: Proving Tangent Line = 1 for Every Point on Curve

  • Cactusguy21
  • · Replies 1 ·
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1

How to Evaluate the Infinite Sum for 0 < x < 1?

  • lfdahl
  • · Replies 6 ·
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6

Determining Miles Traveled From Tire Diameter and Rotations.

  • RidiculousName
  • · Replies 6 ·
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6

Find a Solution for $y=\sqrt{7x+\sqrt{7x+\sqrt{7x}}}$

  • karush
  • · Replies 10 ·
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10

Evaluating cos((1/2)arccos(x))

  • Elissa89
  • · Replies 1 ·
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1

Undergrad You cannot differentiate a geometric figure?

  • talk2dream
  • · Replies 14 ·
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14

How Fast is the Height of a Gravel Cone Increasing?

  • karush
  • · Replies 2 ·
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2

Undergrad Simplifying this absolute value

  • Mr Davis 97
  • · Replies 5 ·
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5

Undergrad What does f(rh,h) mean in this limit?

  • KUphysstudent
  • · Replies 4 ·
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4

Definite integral with Riemann sums

  • TheFallen018
  • · Replies 2 ·
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2

Undergrad Fourier smoothing and Savitzky-Golay filtering

  • roam
  • · Replies 11 ·
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11

Undergrad Integration of the gradient of a vector

  • dyn
  • · Replies 13 ·
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13

Why is an implicit function a function?

  • highmath
  • · Replies 1 ·
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1

How Does Simpson's Rule Estimate the Volume of an Artificial Lake?

  • Pete1
  • · Replies 1 ·
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1

How to integral legendre polynomial

  • Another1
  • · Replies 6 ·
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6

Derivative of 5tan(x)+4cot(x)

  • jhe2
  • · Replies 1 ·
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1

Differential equations Romeo and Juliet

  • martha1
  • · Replies 4 ·
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4

Romeo and Juliet initial conditions

  • martha1
  • · Replies 1 ·
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1

High School GramSchmidt process for Taylor basis

  • Somali_Physicist
  • · Replies 7 ·
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7

Given amount and interest rate, find principal

  • brownrebecca333
  • · Replies 2 ·
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2

High School Does the gradient give the direction of steepest ascent in 2D?

  • Mohankpvk
  • · Replies 3 ·
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3

Finding Domain for Natural Log with Exponent f(x)=ln(x^2−5x)

  • RidiculousName
  • · Replies 6 ·
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6

Undergrad Solving Trig Integrals with Residue Theorem

  • dyn
  • · Replies 3 ·
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3

Basic definite integral question

  • TheFallen018
  • · Replies 1 ·
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1

Insights The 10 Commandments of Index Expressions and Tensor Calculus - Comments

  • Orodruin
  • · Replies 15 ·
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15

Improper integral from 1 to infinity

  • yeny
  • · Replies 2 ·
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2

Undergrad 2nd derivative of angular displacement wrt time

  • Prez Cannady
  • · Replies 4 ·
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4

Undergrad Evaluation of a certain complex function

  • maistral
  • · Replies 2 ·
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2

Graduate Computing residues after substitution

  • Belgium 12
  • · Replies 2 ·
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2

Undergrad Direction of the azimuthal unit vector in cylindrical coordinates

  • sams
  • · Replies 2 ·
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2

Undergrad Order of integration and taking limits

  • dyn
  • · Replies 3 ·
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3

Undergrad Can You Integrate Unit Vector ρ Without Switching to Cartesian Coordinates?

  • ys98
  • · Replies 3 ·
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3

How do I find the gradient of a curve?

  • Yazan975
  • · Replies 5 ·
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5

High School Is Understanding 'dx' Just a Heuristic in Calculus?

  • archaic
  • · Replies 15 ·
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15

Continuity of $g$ at $a=1$: Proven

  • karush
  • · Replies 1 ·
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1

241.19 the e d definition of a limit.

  • karush
  • · Replies 1 ·
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1

Undergrad How do I evaluate an integral of discrete navigation data with rotation matrices?

  • 9988776655
  • · Replies 2 ·
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2

Undergrad Eliminating the Parameter from Helix Equation

  • Eve Litman
  • · Replies 3 ·
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3

Undergrad Double integrals (line vs. Area)

  • starstruck_
  • · Replies 3 ·
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3

Undergrad Sequences for infinitely nested radicals

  • Stephen Tashi
  • · Replies 3 ·
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3

Undergrad Is it correct to write the nabla operator with a vector arrow?

  • sams
  • · Replies 2 ·
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2

Undergrad Sign mistake when computing integral with differential forms

  • beefbrisket
  • · Replies 3 ·
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3

Undergrad Do dot and cross product differentiation rules commute?

  • sams
  • · Replies 2 ·
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2

High School Limits on Composite Functions- Appears DNE but has a limit

  • opus
  • · Replies 8 ·
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8
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3

Undergrad Spivak's Calculus: conic sections from plane-cone intersection

  • Adgorn
  • · Replies 4 ·
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4

Undergrad Finding the constants in an expression

  • ArnoldEdv
  • · Replies 3 ·
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3

Am I doing this related rates right?

  • TheFallen018
  • · Replies 2 ·
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2

Graduate Inverse function of the Nyquist-Shannon sampling theorem

  • d2x
  • · Replies 2 ·
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2

Value of $\displaystyle \lim_{x \to 0} g(x)$ Given Limit Statements

  • karush
  • · Replies 3 ·
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3

Graduate Why Is the Measure of a Nonconvex Hessian Matrix Convex?

  • mertcan
  • · Replies 3 ·
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3

High School Basic limit results: what does limx→a x = a mean?

  • opus
  • · Replies 5 ·
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5

Undergrad Chain Rule of Multivariable Calculus

  • sams
  • · Replies 2 ·
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2

Undergrad Understanding Confusing Expansion: Taylor Series Expansion

  • WWCY
  • · Replies 9 ·
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9

Undergrad Proof of The volume under surfaces formula

  • TheoEndre
  • · Replies 26 ·
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26

Insights Some Misconceptions about Indefinite Integrals - Comments

  • micromass
  • · Replies 22 ·
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22

Calculus homework: 15 problems from indices to statistics

  • sarahlee
  • · Replies 4 ·
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4

Undergrad How to draw the following vector field?

  • sams
  • · Replies 6 ·
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6

Answer: Solving Algebra Problems: du=-30x^2dx to x^2 dx = -(1/30)du

  • student231
  • · Replies 1 ·
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1

Undergrad Gabriel's Horn, Inside vs. Outside Surface area

  • bob012345
  • · Replies 9 ·
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9

Undergrad How Can I Solve This Complex Integral Evaluation Problem?

  • EngWiPy
  • · Replies 5 ·
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5

Is the definite integral ∫ [arcsin(1/x)-1/x]of indeterminate form?

  • lfdahl
  • · Replies 2 ·
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2

243.13.01.18 motion of a particle

  • karush
  • · Replies 14 ·
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14
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2

Implicit Function: Why Is It a Function?

  • roni1
  • · Replies 3 ·
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3

Undergrad Understanding Divergence of Vector Function F in 3D Space

  • Mohankpvk
  • · Replies 8 ·
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8

Undergrad Closed-form solution for a triple integral

  • EngWiPy
  • · Replies 15 ·
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15

Graduate Calculus of Variations and Natural BCs

  • member 428835
  • · Replies 3 ·
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3

High School Triple integral in spherical coordinates.

  • Mohankpvk
  • · Replies 6 ·
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6

Undergrad Frequency spectrum of phase shift

  • entropy1
  • · Replies 24 ·
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24

Undergrad Munkres-Analysis on Manifolds: Extended Integrals

  • Bill2500
  • · Replies 5 ·
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5

Undergrad Is the derivative of a discontinuity a delta function?

  • Phys12
  • · Replies 1 ·
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1

Undergrad Closed-form solution for an integral

  • EngWiPy
  • · Replies 12 ·
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12

Undergrad Question regarding a sequence proof from a book

  • MathMorlock
  • · Replies 3 ·
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3

Undergrad Integrals are harder than derivatives, why?

  • wolly
  • · Replies 57 ·
2
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57

Graduate Integrating Gaussians with complex arguments

  • hideelo
  • · Replies 4 ·
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4

Numerics on wild oscillating functions

  • Theia
  • · Replies 2 ·
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2

High School Does undefined always mean infinity?

  • Wrichik Basu
  • · Replies 15 ·
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15

Undergrad Simple dot product in polar coordinates

  • member 428835
  • · Replies 20 ·
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20

Undergrad Integration convention for action in Spacetime and Geometry 1.132

  • George Keeling
  • · Replies 4 ·
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4

Undergrad Changing the limits of integration, getting 0

  • Mr Davis 97
  • · Replies 5 ·
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5

Undergrad Shifting polar functions vertically

  • member 428835
  • · Replies 7 ·
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7

How Can Riemann Sums Calculate the Volume of a Tepee Tent?

  • MathsKid007
  • · Replies 3 ·
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3

Undergrad How to think about x/x, or (x-1)/(x-1) etc.

  • kmm
  • · Replies 9 ·
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9

Undergrad Integrating f'(t) to find f(t) using differentiation under integral sign

  • Mr Davis 97
  • · Replies 7 ·
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7

Undergrad Getting two different values for f(0)

  • Mr Davis 97
  • · Replies 3 ·
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3

Simple closed form for integral

  • Tony1
  • · Replies 3 ·
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3

Graduate An interesting infinite series

  • Hassan2
  • · Replies 4 ·
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4

Jason's calculus questions

  • Prove It
  • · Replies 4 ·
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4

High School Is it possible to manipulate partial derivatives in this manner?

  • SiennaTheGr8
  • · Replies 6 ·
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6

Undergrad Indeterminate Limit: Evaluating ##\displaystyle \lim_{a \to 0^+} a^2 \log a##

  • Mr Davis 97
  • · Replies 1 ·
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1

Riemanns Sum Problem: Find the exact volume

  • MathsKid007
  • · Replies 1 ·
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1

Graduate What it means to be infinitely differentiable

  • fred_91
  • · Replies 3 ·
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3