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

Limit $\frac{f(x)}{g(x)}$: Solve w/ L'H Rule

  • karush
  • · Replies 4 ·
Replies
4

Undergrad Swapping axes for solids of revolution around different axes

  • 0kelvin
  • · Replies 1 ·
Replies
1

Undergrad How do limits and Cantor's transfinite numbers reconcile?

  • Frank Peters
  • · Replies 11 ·
Replies
11

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

  • Bob123Bob
  • · Replies 4 ·
Replies
4

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

  • sams
  • · Replies 5 ·
Replies
5

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

  • Mathematicsresear
  • · Replies 9 ·
Replies
9

Cumulative Distribution function in terms of Error function

  • TheFallen018
  • · Replies 1 ·
Replies
1

High School Understanding Kinematics in Calculus for High School Students

  • solarmidnightrose
  • · Replies 6 ·
Replies
6

Undergrad Change of order in double integrals

  • Jazzyrohan
  • · Replies 1 ·
Replies
1

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

  • Cactusguy21
  • · Replies 1 ·
Replies
1

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

  • lfdahl
  • · Replies 6 ·
Replies
6

Determining Miles Traveled From Tire Diameter and Rotations.

  • RidiculousName
  • · Replies 6 ·
Replies
6

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

  • karush
  • · Replies 10 ·
Replies
10

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

  • Elissa89
  • · Replies 1 ·
Replies
1

Undergrad You cannot differentiate a geometric figure?

  • talk2dream
  • · Replies 14 ·
Replies
14

How Fast is the Height of a Gravel Cone Increasing?

  • karush
  • · Replies 2 ·
Replies
2

Undergrad Simplifying this absolute value

  • Mr Davis 97
  • · Replies 5 ·
Replies
5

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

  • KUphysstudent
  • · Replies 4 ·
Replies
4

Definite integral with Riemann sums

  • TheFallen018
  • · Replies 2 ·
Replies
2

Undergrad Fourier smoothing and Savitzky-Golay filtering

  • roam
  • · Replies 11 ·
Replies
11

Undergrad Integration of the gradient of a vector

  • dyn
  • · Replies 13 ·
Replies
13

Why is an implicit function a function?

  • highmath
  • · Replies 1 ·
Replies
1

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

  • Pete1
  • · Replies 1 ·
Replies
1

How to integral legendre polynomial

  • Another1
  • · Replies 6 ·
Replies
6

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

  • jhe2
  • · Replies 1 ·
Replies
1

Differential equations Romeo and Juliet

  • martha1
  • · Replies 4 ·
Replies
4

Romeo and Juliet initial conditions

  • martha1
  • · Replies 1 ·
Replies
1

High School GramSchmidt process for Taylor basis

  • Somali_Physicist
  • · Replies 7 ·
Replies
7

Given amount and interest rate, find principal

  • brownrebecca333
  • · Replies 2 ·
Replies
2

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

  • Mohankpvk
  • · Replies 3 ·
Replies
3

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

  • RidiculousName
  • · Replies 6 ·
Replies
6

Undergrad Solving Trig Integrals with Residue Theorem

  • dyn
  • · Replies 3 ·
Replies
3

Basic definite integral question

  • TheFallen018
  • · Replies 1 ·
Replies
1

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

  • Orodruin
  • · Replies 15 ·
Replies
15

Improper integral from 1 to infinity

  • yeny
  • · Replies 2 ·
Replies
2

Undergrad 2nd derivative of angular displacement wrt time

  • Prez Cannady
  • · Replies 4 ·
Replies
4

Undergrad Evaluation of a certain complex function

  • maistral
  • · Replies 2 ·
Replies
2

Graduate Computing residues after substitution

  • Belgium 12
  • · Replies 2 ·
Replies
2

Undergrad Direction of the azimuthal unit vector in cylindrical coordinates

  • sams
  • · Replies 2 ·
Replies
2

Undergrad Order of integration and taking limits

  • dyn
  • · Replies 3 ·
Replies
3

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

  • ys98
  • · Replies 3 ·
Replies
3

How do I find the gradient of a curve?

  • Yazan975
  • · Replies 5 ·
Replies
5

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

  • archaic
  • · Replies 15 ·
Replies
15

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

  • karush
  • · Replies 1 ·
Replies
1

241.19 the e d definition of a limit.

  • karush
  • · Replies 1 ·
Replies
1

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

  • 9988776655
  • · Replies 2 ·
Replies
2

Undergrad Eliminating the Parameter from Helix Equation

  • Eve Litman
  • · Replies 3 ·
Replies
3

Undergrad Double integrals (line vs. Area)

  • starstruck_
  • · Replies 3 ·
Replies
3

Undergrad Sequences for infinitely nested radicals

  • Stephen Tashi
  • · Replies 3 ·
Replies
3

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

  • sams
  • · Replies 2 ·
Replies
2

Undergrad Sign mistake when computing integral with differential forms

  • beefbrisket
  • · Replies 3 ·
Replies
3

Undergrad Do dot and cross product differentiation rules commute?

  • sams
  • · Replies 2 ·
Replies
2

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

  • opus
  • · Replies 8 ·
Replies
8
Replies
3

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

  • Adgorn
  • · Replies 4 ·
Replies
4

Undergrad Finding the constants in an expression

  • ArnoldEdv
  • · Replies 3 ·
Replies
3

Am I doing this related rates right?

  • TheFallen018
  • · Replies 2 ·
Replies
2

Graduate Inverse function of the Nyquist-Shannon sampling theorem

  • d2x
  • · Replies 2 ·
Replies
2

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

  • karush
  • · Replies 3 ·
Replies
3

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

  • mertcan
  • · Replies 3 ·
Replies
3

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

  • opus
  • · Replies 5 ·
Replies
5

Undergrad Chain Rule of Multivariable Calculus

  • sams
  • · Replies 2 ·
Replies
2

Undergrad Understanding Confusing Expansion: Taylor Series Expansion

  • WWCY
  • · Replies 9 ·
Replies
9

Undergrad Proof of The volume under surfaces formula

  • TheoEndre
  • · Replies 26 ·
Replies
26

Insights Some Misconceptions about Indefinite Integrals - Comments

  • micromass
  • · Replies 22 ·
Replies
22

Calculus homework: 15 problems from indices to statistics

  • sarahlee
  • · Replies 4 ·
Replies
4

Undergrad How to draw the following vector field?

  • sams
  • · Replies 6 ·
Replies
6

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

  • student231
  • · Replies 1 ·
Replies
1

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

  • bob012345
  • · Replies 9 ·
Replies
9

Undergrad How Can I Solve This Complex Integral Evaluation Problem?

  • EngWiPy
  • · Replies 5 ·
Replies
5

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

  • lfdahl
  • · Replies 2 ·
Replies
2

243.13.01.18 motion of a particle

  • karush
  • · Replies 14 ·
Replies
14
Replies
2

Implicit Function: Why Is It a Function?

  • roni1
  • · Replies 3 ·
Replies
3

Undergrad Understanding Divergence of Vector Function F in 3D Space

  • Mohankpvk
  • · Replies 8 ·
Replies
8

Undergrad Closed-form solution for a triple integral

  • EngWiPy
  • · Replies 15 ·
Replies
15

Graduate Calculus of Variations and Natural BCs

  • member 428835
  • · Replies 3 ·
Replies
3

High School Triple integral in spherical coordinates.

  • Mohankpvk
  • · Replies 6 ·
Replies
6

Undergrad Frequency spectrum of phase shift

  • entropy1
  • · Replies 24 ·
Replies
24

Undergrad Extended integrals over open sets when domain differs by measure zero

  • Bill2500
  • · Replies 5 ·
Replies
5

Undergrad Is the derivative of a discontinuity a delta function?

  • Phys12
  • · Replies 1 ·
Replies
1

Undergrad Closed-form solution for an integral

  • EngWiPy
  • · Replies 12 ·
Replies
12

Undergrad Question regarding a sequence proof from a book

  • MathMorlock
  • · Replies 3 ·
Replies
3

Undergrad Integrals are harder than derivatives, why?

  • wolly
  • · Replies 57 ·
2
Replies
57

Graduate Integrating Gaussians with complex arguments

  • hideelo
  • · Replies 4 ·
Replies
4

Numerics on wild oscillating functions

  • Theia
  • · Replies 2 ·
Replies
2

High School Does undefined always mean infinity?

  • Wrichik Basu
  • · Replies 15 ·
Replies
15

Undergrad Simple dot product in polar coordinates

  • member 428835
  • · Replies 20 ·
Replies
20

Undergrad Integration convention for action in Spacetime and Geometry 1.132

  • George Keeling
  • · Replies 4 ·
Replies
4

Undergrad Changing the limits of integration, getting 0

  • Mr Davis 97
  • · Replies 5 ·
Replies
5

Undergrad Shifting polar functions vertically

  • member 428835
  • · Replies 7 ·
Replies
7

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

  • MathsKid007
  • · Replies 3 ·
Replies
3

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

  • kmm
  • · Replies 9 ·
Replies
9

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

  • Mr Davis 97
  • · Replies 7 ·
Replies
7

Undergrad Getting two different values for f(0)

  • Mr Davis 97
  • · Replies 3 ·
Replies
3

Simple closed form for integral

  • Tony1
  • · Replies 3 ·
Replies
3

Graduate An interesting infinite series

  • Hassan2
  • · Replies 4 ·
Replies
4

Jason's calculus questions

  • Prove It
  • · Replies 4 ·
Replies
4

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

  • SiennaTheGr8
  • · Replies 6 ·
Replies
6

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

  • Mr Davis 97
  • · Replies 1 ·
Replies
1