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 What's wrong with my parametrization for y=x^2?

  • medwatt
  • · Replies 5 ·
Replies
5

An integral representation of the Hurwitz zeta function

  • polygamma
  • · Replies 4 ·
Replies
4

High School What is the difference between Δv/Δt and dv/dt in calculus?

  • urbano
  • · Replies 3 ·
Replies
3

Find the derivative of the function

  • shamieh
  • · Replies 11 ·
Replies
11

Log-sine and log-cosine integrals

  • polygamma
  • · Replies 1 ·
Replies
1

Understanding Derivatives: Step-by-Step Guide to Finding f'(x) of f(x)=2

  • coolbeans33
  • · Replies 6 ·
Replies
6

Real Solutions to Equations [2^x = 1+x^2 & 3^x+4^x+5^x = x^2]

  • juantheron
  • · Replies 4 ·
Replies
4

Show 1 - x/3 < sinx/x < 1.1 - x/4

  • anemone
  • · Replies 1 ·
Replies
1

Undergrad How much do you memorize to do general derivatives/integrals?

  • Turion
  • · Replies 5 ·
Replies
5

Undergrad Limit of f(f(x)) at x=-2: Does it Exist?

  • NATURE.M
  • · Replies 2 ·
Replies
2

Graduate How to handle the large $r$ limit of this integral?

  • praharmitra
  • · Replies 1 ·
Replies
1

Is There a Formula for Summing 1/n Using the Digamma Function?

  • mathmaniac1
  • · Replies 11 ·
Replies
11

Undergrad Question about the Limit of x^n/(n)

  • student34
  • · Replies 4 ·
Replies
4

Katie's Question: Find f(2) & f'(2) of Tangent Line y=4x-5

  • MarkFL
  • · Replies 1 ·
Replies
1

Derivative of sec²(2x) - tan²(2x)

  • karush
  • · Replies 3 ·
Replies
3

How Do You Find the Limit of A(z) as z Approaches 3?

  • coolbeans33
  • · Replies 1 ·
Replies
1

Problem using integral form of Work-Energy Theorem

  • skate_nerd
  • · Replies 3 ·
Replies
3

Graduate Is Measureability Necessary for Proof of Pointwise Limit of Simple Functions?

  • aaaa202
  • · Replies 1 ·
Replies
1

Graduate Laplace equation in polar coordinates.

  • yungman
  • · Replies 4 ·
Replies
4

Where can the water jet spray?

  • MarkFL
  • · Replies 3 ·
Replies
3

Undergrad How Does Calculus Explain How V=S/T & DV=DS/DT?

  • abrahamjp
  • · Replies 6 ·
Replies
6

Graduate Relationship between division, subtraction, and limits

  • stoopkid
  • · Replies 4 ·
Replies
4

Undergrad Numerical Methods - which one for which problem?

  • milan_kundera
  • · Replies 4 ·
Replies
4

Undergrad Why does the multi variable chain rule need to be proven?

  • Gauss M.D.
  • · Replies 16 ·
Replies
16

Sum series- convergence and divergence

  • Chipset3600
  • · Replies 11 ·
Replies
11

Graduate Calculation boundary terms of a functional

  • ronaldinho52
  • · Replies 3 ·
Replies
3

Troubleshooting Indeterminate Limits in Calculus

  • phrox
  • · Replies 10 ·
Replies
10

Undergrad Limit of a function as x goes to 1

  • nothingkwt
  • · Replies 5 ·
Replies
5

Graduate Fourier Transform Scaling Property help

  • Uan
  • · Replies 4 ·
Replies
4

Undergrad Is this differentiation correct?

  • musicgold
  • · Replies 14 ·
Replies
14

Graduate Using E-L equations to get through a mountain range

  • SteDolan
  • · Replies 1 ·
Replies
1

Undergrad Starting Out with Proofs: Seeking Advice from Experienced Math Students

  • Gustafo
  • · Replies 6 ·
Replies
6

Convergence/Divergence of Series 2446

  • Chipset3600
  • · Replies 10 ·
Replies
10

Undergrad Moving limits in and out of functions

  • Only a Mirage
  • · Replies 9 ·
Replies
9

Graduate Is There an Analytical Solution for This Tough Definite Integral?

  • Irid
  • · Replies 3 ·
Replies
3

Graduate Proving divergence of a sequence

  • dimanet
  • · Replies 4 ·
Replies
4

A few tricky integrals.... Or are they?

  • DreamWeaver
  • · Replies 3 ·
Replies
3

A sum involving the central binomial coefficients

  • polygamma
  • · Replies 8 ·
Replies
8

Simplifying the Integral of 20 sec^3(x) dx using Trigonometric Identities

  • dexstarr
  • · Replies 2 ·
Replies
2

Find volume of solid generated (Calc 2)

  • lovex25
  • · Replies 3 ·
Replies
3

Graduate Question in finding Green's function

  • yungman
  • · Replies 5 ·
Replies
5

Does Bessel's Inequality Imply Fourier Coefficients Approach Zero?

  • Joystar77
  • · Replies 10 ·
Replies
10

Summation: trigonometric identity

  • hxthanh
  • · Replies 2 ·
Replies
2

Graduate Blanking on word for kind of convergence of a sum

  • Office_Shredder
  • · Replies 3 ·
Replies
3

Integrate Without Expanding Numerator

  • paulmdrdo1
  • · Replies 9 ·
Replies
9

Show that ∫ logb(x) dx = x ∙ ( logb(x) - 1 / ln(b) ) + C

  • bergausstein
  • · Replies 2 ·
Replies
2

Graduate Equation of a curve on a surface

  • Luna=Luna
  • · Replies 3 ·
Replies
3

What Does Equating Areas Reveal About Function Behavior?

  • MarkFL
  • · Replies 3 ·
Replies
3

Graduate Curvature vs acceleration? (calc III)

  • iScience
  • · Replies 6 ·
Replies
6
Replies
1

Find the average speed of the ball

  • coolbeans33
  • · Replies 1 ·
Replies
1

Graduate How Does the Extended Divergence Theorem Simplify Complex Integrals?

  • Gauss M.D.
  • · Replies 1 ·
Replies
1

Area of Region II: 16 & 256/3 sq. units

  • paulmdrdo1
  • · Replies 9 ·
Replies
9

Undergrad What does the fourier transform do

  • aaaa202
  • · Replies 1 ·
Replies
1

What Is the Value of S_n in the Summation Formula?

  • MarkFL
  • · Replies 3 ·
Replies
3

Multivariable limit does it exist?

  • Petrus
  • · Replies 7 ·
Replies
7

Graduate Derivative of a function with respect to its first derivative?

  • LYSpaceman
  • · Replies 5 ·
Replies
5

Evaluating Integral with Polylogarithms: Help Needed!

  • DreamWeaver
  • · Replies 2 ·
Replies
2

Solving a Trigonometric Integral

  • yanic
  • · Replies 8 ·
Replies
8

Evaluating $\sum_{k\geq 1}\frac{\cos \left(\frac{\pi k}{2} \right)}{k^2}$

  • alyafey22
  • · Replies 6 ·
Replies
6

Graduate Proving Increasing Function of f(x)/x on ]0,∞[

  • LikeMath
  • · Replies 5 ·
Replies
5

Graduate Why Does an Infinite Number of Spatial Derivatives Imply Non-locality?

  • WannabeNewton
  • · Replies 12 ·
Replies
12

Graduate Determinants and taylor expansion

  • dipole
  • · Replies 2 ·
Replies
2

Area of a Bounded Region: Calculation Examples

  • paulmdrdo1
  • · Replies 1 ·
Replies
1

Calculus Tangent Line: Find Parameter k | Camille's Q&A

  • MarkFL
  • · Replies 1 ·
Replies
1

Graduate Spivak's Calculus proof explain this please

  • athena810
  • · Replies 1 ·
Replies
1
Replies
7

Mastering Limit Laws to Correct Answers | Checking Limits"

  • phrox
  • · Replies 5 ·
Replies
5

Graduate Computing an Integral with a limiting parameter

  • muzialis
  • · Replies 7 ·
Replies
7

Graduate Substitution of imaginary variables in integral?

  • geoduck
  • · Replies 15 ·
Replies
15

How do you solve for the area bounded by two curves using integration?

  • paulmdrdo1
  • · Replies 23 ·
Replies
23

Forrest's question at Yahoo Answers regarding a solid of revolution

  • MarkFL
  • · Replies 1 ·
Replies
1

Two different results of an integral

  • Dustinsfl
  • · Replies 1 ·
Replies
1

What is the best method for solving rational function integrals?

  • Yankel
  • · Replies 7 ·
Replies
7

Another integral representation of the Riemann zeta function

  • polygamma
  • · Replies 6 ·
Replies
6

Undergrad Integral test - ultimately decreasing function

  • TysonM8
  • · Replies 1 ·
Replies
1

Jaden Harris' Velocity Ques. at Yahoo Answers

  • MarkFL
  • · Replies 1 ·
Replies
1

Hyperreal Intermediate Value Theorem

  • poissonspot
  • · Replies 2 ·
Replies
2

Solving Multivariable Limit: Does it Exist?

  • Petrus
  • · Replies 7 ·
Replies
7

Graduate Bounded derivative Riemann integrable

  • jostpuur
  • · Replies 2 ·
Replies
2

Area bounded by 3 curves: Help with Problem Solving

  • MarkFL
  • · Replies 1 ·
Replies
1

Understanding Right-Continuity in Piecewise Functions: What is g(c)?

  • phrox
  • · Replies 6 ·
Replies
6

Graduate Can You Calculate Electric Fields Without Infinitesimals?

  • jaydnul
  • · Replies 2 ·
Replies
2

What is the integral of f(x) and q(x) in the Euler Lagrange equations?

  • Dustinsfl
  • · Replies 6 ·
Replies
6

Graduate Differential equation for changing mass of a sphere

  • Hypatio
  • · Replies 10 ·
Replies
10

Graduate When does infinitesimal notation break down?

  • jaydnul
  • · Replies 3 ·
Replies
3

How Challenging Is This Definite Integral with a Tangent and Pi Power?

  • anemone
  • · Replies 2 ·
Replies
2

Graduate Is \frac{∂y}{∂x}×\frac{∂x}{∂z}=-\frac{∂y}{∂z}?

  • tade
  • · Replies 7 ·
Replies
7

Difference Quotient for Linear and Quadratic Functions

  • MarkFL
  • · Replies 1 ·
Replies
1

Graduate When Can We Swap Variation and Partial Derivation in Calculus of Variations?

  • pellman
  • · Replies 7 ·
Replies
7

Graduate Laplacian of 1/r Explodes at Origin

  • axsvl77
  • · Replies 13 ·
Replies
13

Undergrad Partial Derivative of Z: Step-by-Step Solution

  • rovaniemi
  • · Replies 8 ·
Replies
8

Calc: Epsilon-Delta Proof of lim (-3x+1)=-5 as x->2

  • MarkFL
  • · Replies 1 ·
Replies
1

Undergrad Interpreting Limits of Functions That Approach Infinity

  • Tanya Sharma
  • · Replies 11 ·
Replies
11

Graduate What is the Fourier Series for (sin(x))^2 on the interval [-π, π]?

  • Hertz
  • · Replies 4 ·
Replies
4

Can You Simplify This Complicated Integral Result?

  • alyafey22
  • · Replies 1 ·
Replies
1

Graduate Why Does Zee's Steepest-Descent Approximation Seem Incorrect?

  • weirdoguy
  • · Replies 9 ·
Replies
9

Undergrad Theta ranges for trig substitution

  • freshman2013
  • · Replies 4 ·
Replies
4

What is the partial derivative of f(x, y) with respect to x?

  • Kris1
  • · Replies 5 ·
Replies
5

Graduate How derive a CDF from MGF directly ?

  • nikozm
  • · Replies 1 ·
Replies
1