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 What is the Importance of Rolle's Theorem?

  • Greg Bernhardt
  • · Replies 1 ·
Replies
1

Undergrad What are the Standard Integrals?

  • Greg Bernhardt
  • · Replies 1 ·
Replies
1

Insights What is a Tangent Line? A 5 Minute Introduction

  • Greg Bernhardt
  • · Replies 1 ·
Replies
1

Graduate Differential equation involving a time series

  • AbusesDimensAnalysis
  • · Replies 1 ·
Replies
1

Graduate Intermediate Math Problem of the Week 9/25/2017

  • PF PotW Robot
  • · Replies 1 ·
Replies
1

Undergrad Calculating derivatives for the Euler equation

  • mishima
  • · Replies 4 ·
Replies
4

High School Can an Impossible Differential Be Solved in Calculus?

  • cdamberg21
  • · Replies 9 ·
Replies
9

Proving the Relationship between Cosine and Inverse Sine Functions

  • Wild ownz al
  • · Replies 4 ·
Replies
4

Power Series for f(x) and Radius of Convergence

  • joshuapeterson
  • · Replies 1 ·
Replies
1

High School Is the Definite Integral of the Function Exactly 1?

  • Saracen Rue
  • · Replies 3 ·
Replies
3

Undergrad Why ignoring the contribution from point r=0 in eq (1) and (2)?

  • Mike400
  • · Replies 5 ·
Replies
5

High School Is the differential notation dz = f_x dx + f_y dy proper or abuse of notation?

  • fbs7
  • · Replies 22 ·
Replies
22

Undergrad Deriving Notations for Differentials in Time-Evolving Systems

  • Apashanka
  • · Replies 5 ·
Replies
5

High School "Onion proof" of the area of a circle

  • K41
  • · Replies 4 ·
Replies
4

Undergrad Calculus problem differentiation.

  • Lejas90210
  • · Replies 3 ·
Replies
3

Undergrad Proving binomial expansion identity from Spivak

  • sleepingMantis
  • · Replies 17 ·
Replies
17

High School Why Is 0/0 Considered Indeterminate If Division by Zero Is Undefined

  • Suyogya
  • · Replies 1 ·
Replies
1

Undergrad What is the vector integral equivalent of the divergence theorem for curl?

  • Apashanka
  • · Replies 4 ·
Replies
4

High School Finding Multiple Ways to Integrate

  • Comeback City
  • · Replies 5 ·
Replies
5

Undergrad Area of the intersection of two regions in the plane

  • Mr Davis 97
  • · Replies 1 ·
Replies
1

Undergrad Why is Mu Differentiable in McInerney Example 3.1.5?

  • Math Amateur
  • · Replies 11 ·
Replies
11

Undergrad Is there such a thing as an antiderivative of a multivariable function?

  • Abdullah Almosalami
  • · Replies 9 ·
Replies
9

Evaluate the product ∏(1+10^(-2^n))

  • lfdahl
  • · Replies 2 ·
Replies
2

Undergrad Finding the linear map T_a in McInerney definition 3.1.1

  • Math Amateur
  • · Replies 22 ·
Replies
22

Undergrad Limit of the tail integral as lower bound approaches infinity

  • NotEuler
  • · Replies 12 ·
Replies
12

Undergrad Gaussian Integral Coordinate Change

  • looseleaf
  • · Replies 4 ·
Replies
4

Undergrad Proof that the sum of all series 1/n^m, (n>1,m>1) =1?

  • BWV
  • · Replies 5 ·
Replies
5

Advanced Functions Average vs. Instantaneous velocity

  • Wild ownz al
  • · Replies 1 ·
Replies
1

Undergrad Calculus II midterm review problems I can't solve

  • PloKoon
  • · Replies 5 ·
Replies
5

Undergrad Faking a Formula For Movement Through Gravity

  • AdmiralOlson
  • · Replies 3 ·
Replies
3

Graduate Multi-variable function depending on the Heaviside function

  • CCMarie
  • · Replies 1 ·
Replies
1

Integration ∫ [√(sin^2 x-3sin x+2))/√(sin^2 x+3sin x+2))]dx

  • juantheron
  • · Replies 1 ·
Replies
1

Undergrad Converting 2 COD (x,y) into 1 Hilbert curve COD?

  • greswd
  • · Replies 10 ·
Replies
10

Volume of Solid Revolving Region About Line: 32pi/5

  • windowsXLC
  • · Replies 1 ·
Replies
1

High School How can I accurately calculate pi using polygons and the concept of infinity?

  • Xforce
  • · Replies 2 ·
Replies
2

Undergrad Why can an infinite area have a finite volume or SA?

  • Zack K
  • · Replies 3 ·
Replies
3

Undergrad Why does Gauss's theorem work when the integrand is singular at r' = r?

  • Mike400
  • · Replies 2 ·
Replies
2

Evaluate the double sum of a product

  • lfdahl
  • · Replies 2 ·
Replies
2

Undergrad When and How Does an Integral Have a Cauchy Principal Value?

  • CAF123
  • · Replies 3 ·
Replies
3

Graduate Fourier series equation derivation

  • merlyn
  • · Replies 19 ·
Replies
19

Graduate Proof of Parseval's Identity for a Fourier Sine/Cosine transform

  • tanaygupta2000
  • · Replies 12 ·
Replies
12

High School Why are ∫1/(x⁴+1)dx and ∫x²/(x⁴+1)dx equal?

  • SamRoss
  • · Replies 8 ·
Replies
8

Undergrad Does the sum of all series 1/n^m, m>1 converge?

  • BWV
  • · Replies 4 ·
Replies
4

Undergrad How to apply the disk/washer and shell methods

  • Steven_Scott
  • · Replies 1 ·
Replies
1

Graduate Inverse Laplace of an Overwhelming Function

  • Floro Ortiz
  • · Replies 2 ·
Replies
2

Undergrad What is the value of the integral for higher order poles in the real axis?

  • Santilopez10
  • · Replies 9 ·
Replies
9

Force normal and force along the incline

  • WMDhamnekar
  • · Replies 7 ·
Replies
7

What Tension is Required for a 10 kg Mass to Hang Motionless?

  • WMDhamnekar
  • · Replies 7 ·
Replies
7

High School 1 to the power of infinity, why is it indeterminate?

  • navneet9431
  • · Replies 20 ·
Replies
20

Graduate Finding a specific amplitude-frequency in the time domain

  • Behrouz
  • · Replies 1 ·
Replies
1

How Accurate Are the Calculations for Plane Speed and Cable Tension?

  • WMDhamnekar
  • · Replies 1 ·
Replies
1

(e^ix)-1=(2ie^(ix/2))x(sin (x/2))

  • minachi12
  • · Replies 1 ·
Replies
1

Limit of $x_n$ Sequence: $\pi/2$

  • Vali
  • · Replies 1 ·
Replies
1

High School Can a function become surjective by restricting its codomain?

  • Suyogya
  • · Replies 1 ·
Replies
1

Undergrad Resultant vector field as sum of many sources

  • Spinnor
  • · Replies 13 ·
Replies
13

Undergrad Why does the integral test use different bounds for the harmonic and p-series?

  • opus
  • · Replies 4 ·
Replies
4

Undergrad Fourier transform, same frequencies, different amplitudes

  • Behrouz
  • · Replies 6 ·
Replies
6

Undergrad Why the different terminology: Sequence versus Series?

  • symbolipoint
  • · Replies 11 ·
Replies
11

Undergrad Are two independent functions constant?

  • Boltzman Oscillation
  • · Replies 3 ·
Replies
3

High School Sum of Series 1/n: Is it Infinity?

  • Chris Miller
  • · Replies 8 ·
Replies
8

Undergrad A question regarding the ratio test for limits

  • MathematicalPhysicist
  • · Replies 5 ·
Replies
5

Undergrad Polar coordinates and unit vectors

  • fog37
  • · Replies 10 ·
Replies
10

Undergrad Proving the divergence theorem with the Dirac delta function

  • Clara Chung
  • · Replies 6 ·
Replies
6

Why Doesn't the Limit of \(xe^{-\frac{1}{x}}\) Exist as \(x \to 0\)?

  • Vali
  • · Replies 2 ·
Replies
2
Replies
2

Undergrad Finding the value of the integral on this t-shirt

  • rugerts
  • · Replies 7 ·
Replies
7

Gaussian Quadrature Formula for Integrating Polynomials of Degree 6

  • mathmari
  • · Replies 18 ·
Replies
18

Undergrad Unable to show the radius of convergence of a numeric series

  • aheight
  • · Replies 8 ·
Replies
8

Finding Constants for a Piecewise Defined Function

  • Mille89
  • · Replies 2 ·
Replies
2

High School How to set up an integral to integrate over a sine wave?

  • Voltux
  • · Replies 2 ·
Replies
2

Undergrad Why does the chain rule give dg/dw = -df/dw for g(q,w) = f(q,-w)?

  • AndrewGRQTF
  • · Replies 10 ·
Replies
10

Derivatives in Higher Dimensions

  • joypav
  • · Replies 2 ·
Replies
2

Limit of e^(-1/x)/x^n as x approaches 0 from right

  • joypav
  • · Replies 4 ·
Replies
4

Limits of Recurrence Relations with $0<b<a$

  • Vali
  • · Replies 2 ·
Replies
2

Gaussian Quadrature: isolated roots

  • mathmari
  • · Replies 3 ·
Replies
3

Limit of $(x_{n})_{n\geq 1} with Given Conditions

  • Vali
  • · Replies 3 ·
Replies
3

Evaluating Limit $$\frac{\ln2}{2}+\cdots+\frac{\ln n}{n}$$

  • Vali
  • · Replies 2 ·
Replies
2

How to approach proving a sequence has a limit

  • Vali
  • · Replies 7 ·
Replies
7

Why does this inequality hold for the sum of exponential terms?

  • Vali
  • · Replies 4 ·
Replies
4

The minimum and maximum of a sequence

  • Vali
  • · Replies 5 ·
Replies
5

Square root n limit ( sum question )

  • Vali
  • · Replies 2 ·
Replies
2

Undergrad Proving Alternating Derivatives with Induction in Mathematical Analysis I

  • Unconscious
  • · Replies 10 ·
Replies
10

Find Limit of Sequence $(a_{n})$: $a_{2n+1}$

  • Vali
  • · Replies 3 ·
Replies
3

High School Questions regarding polynomial divisions and their roots

  • Adgorn
  • · Replies 12 ·
Replies
12

Solve My Constant Problem: Integral Sign + -2

  • Eni
  • · Replies 2 ·
Replies
2
Replies
6
Replies
2

Limit with x in both base and exponenet

  • Yankel
  • · Replies 1 ·
Replies
1

High School Do lower and upper sums converge to define the integral?

  • Mohankpvk
  • · Replies 3 ·
Replies
3

High School Usage of variable in integration

  • jk22
  • · Replies 4 ·
Replies
4

How to proof stirling approximation

  • Another1
  • · Replies 2 ·
Replies
2

Undergrad How to differentiate with respect to a derivative

  • Jozefina Gramatikova
  • · Replies 7 ·
Replies
7

Undergrad Why does the Taylor approximation work in Stirling's derivation?

  • Hiero
  • · Replies 19 ·
Replies
19

Undergrad Parameterize a circle based on the contact angle with a wedge

  • member 428835
  • · Replies 2 ·
Replies
2

High School Why does my integral of sec(x) differ from the table answer?

  • ForceBoy
  • · Replies 6 ·
Replies
6

Undergrad Determining an n for Numerical Integration

  • opus
  • · Replies 8 ·
Replies
8

Undergrad What is the theorem that log-convexity implies convexity?

  • mertcan
  • · Replies 3 ·
Replies
3

Joint probability distribution of functions of random variables

  • WMDhamnekar
  • · Replies 3 ·
Replies
3

Undergrad Is there a name for this approximation?

  • hilbert2
  • · Replies 6 ·
Replies
6

Solve Image of f(x)=-2(x+1)/(x-1)^2 in x from [0,1)U(1,3]

  • Vali
  • · Replies 2 ·
Replies
2