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 ·
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5

An integral representation of the Hurwitz zeta function

  • polygamma
  • · Replies 4 ·
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4

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

  • urbano
  • · Replies 3 ·
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3

Find the derivative of the function

  • shamieh
  • · Replies 11 ·
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11

Log-sine and log-cosine integrals

  • polygamma
  • · Replies 1 ·
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1

How do I find the derivative of f(x)=2, 2x, and 2x³?

  • coolbeans33
  • · Replies 6 ·
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6

How many real solutions to 2^x = 1+x^2 and 3^x+4^x+5^x = x^2?

  • juantheron
  • · Replies 4 ·
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4

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

  • anemone
  • · Replies 1 ·
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1

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

  • Turion
  • · Replies 5 ·
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5

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

  • NATURE.M
  • · Replies 2 ·
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2

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

  • praharmitra
  • · Replies 1 ·
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1

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

  • mathmaniac1
  • · Replies 11 ·
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11

Undergrad Why does x^n/(n!) approach 0 when x^n grows faster than n!?

  • student34
  • · Replies 4 ·
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4

Finding f(2) and f'(2) from the tangent line y=4x-5

  • MarkFL
  • · Replies 1 ·
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1

Derivative of sec²(2x) - tan²(2x)

  • karush
  • · Replies 3 ·
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3

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

  • coolbeans33
  • · Replies 1 ·
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1

Problem using integral form of Work-Energy Theorem

  • skate_nerd
  • · Replies 3 ·
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3

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

  • aaaa202
  • · Replies 1 ·
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1

Graduate Laplace equation in polar coordinates.

  • yungman
  • · Replies 4 ·
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4

Where can the water jet spray?

  • MarkFL
  • · Replies 3 ·
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3

Undergrad Why does differentiating s=ut+½at² give v=u+at but dividing by t does not?

  • abrahamjp
  • · Replies 6 ·
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6

Graduate Relationship between division, subtraction, and limits

  • stoopkid
  • · Replies 4 ·
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4

Undergrad Numerical Methods - which one for which problem?

  • milan_kundera
  • · Replies 4 ·
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4

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

  • Gauss M.D.
  • · Replies 16 ·
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16

Sum series- convergence and divergence

  • Chipset3600
  • · Replies 11 ·
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11

Graduate Calculation boundary terms of a functional

  • ronaldinho52
  • · Replies 3 ·
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3

Limit of sqrt(D^2 + 1) - D as D approaches infinity

  • phrox
  • · Replies 10 ·
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10

Undergrad Limit of a function as x goes to 1

  • nothingkwt
  • · Replies 5 ·
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5

Graduate Fourier transform scaling property proof step

  • Uan
  • · Replies 4 ·
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4

Undergrad Is this differentiation correct?

  • musicgold
  • · Replies 14 ·
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14

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

  • SteDolan
  • · Replies 1 ·
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1

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

  • Gustafo
  • · Replies 6 ·
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6

Convergence/Divergence of Series 2446

  • Chipset3600
  • · Replies 10 ·
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10

Undergrad Moving limits in and out of functions

  • Only a Mirage
  • · Replies 9 ·
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9

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

  • Irid
  • · Replies 3 ·
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3

Graduate Proving divergence of a sequence

  • dimanet
  • · Replies 4 ·
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4

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

  • DreamWeaver
  • · Replies 3 ·
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3

A sum involving the central binomial coefficients

  • polygamma
  • · Replies 8 ·
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8

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

  • dexstarr
  • · Replies 2 ·
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2

Find volume of solid generated (Calc 2)

  • lovex25
  • · Replies 3 ·
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3

Graduate Question in finding Green's function

  • yungman
  • · Replies 5 ·
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5

Does Bessel's Inequality Imply Fourier Coefficients Approach Zero?

  • Joystar77
  • · Replies 10 ·
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10

Summation: trigonometric identity

  • hxthanh
  • · Replies 2 ·
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2

Graduate Blanking on word for kind of convergence of a sum

  • Office_Shredder
  • · Replies 3 ·
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3

Integrate Without Expanding Numerator

  • paulmdrdo1
  • · Replies 9 ·
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9

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

  • bergausstein
  • · Replies 2 ·
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2

Graduate Equation of a curve on a surface

  • Luna=Luna
  • · Replies 3 ·
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3

Finding f(x) when areas between curves are equal

  • MarkFL
  • · Replies 3 ·
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3

Graduate Curvature vs acceleration? (calc III)

  • iScience
  • · Replies 6 ·
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6
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1

Find the average speed of the ball

  • coolbeans33
  • · Replies 1 ·
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1

Graduate How Does the Extended Divergence Theorem Simplify Complex Integrals?

  • Gauss M.D.
  • · Replies 1 ·
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1

Area bounded by parabola and line: checking y²=4x & y=2x-4

  • paulmdrdo1
  • · Replies 9 ·
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9

Undergrad What does the fourier transform do

  • aaaa202
  • · Replies 1 ·
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1

What Is the Value of S_n in the Summation Formula?

  • MarkFL
  • · Replies 3 ·
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3

Multivariable limit does it exist?

  • Petrus
  • · Replies 7 ·
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7

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

  • LYSpaceman
  • · Replies 5 ·
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5

Simplifying polylogarithms in an arctangent integral

  • DreamWeaver
  • · Replies 2 ·
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2

Solving a Trigonometric Integral

  • yanic
  • · Replies 8 ·
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8

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

  • alyafey22
  • · Replies 6 ·
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6

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

  • LikeMath
  • · Replies 5 ·
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5

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

  • WannabeNewton
  • · Replies 12 ·
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12

Graduate Determinants and taylor expansion

  • dipole
  • · Replies 2 ·
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2

Area of a Bounded Region: Calculation Examples

  • paulmdrdo1
  • · Replies 1 ·
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1

Finding parameter k for a tangent line in calculus

  • MarkFL
  • · Replies 1 ·
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1

Graduate Spivak's Calculus triangle inequality proof with a >= 0 and b <= 0

  • athena810
  • · Replies 1 ·
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1
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7

Checking my limit law applications on three problems

  • phrox
  • · Replies 5 ·
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5

Graduate Computing an Integral with a limiting parameter

  • muzialis
  • · Replies 7 ·
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7

Graduate Substitution of imaginary variables in integral?

  • geoduck
  • · Replies 15 ·
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15

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

  • paulmdrdo1
  • · Replies 23 ·
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23

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

  • MarkFL
  • · Replies 1 ·
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1

Two different results of an integral

  • Dustinsfl
  • · Replies 1 ·
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1

What is the best method for solving rational function integrals?

  • Yankel
  • · Replies 7 ·
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7

Integral representation of the Riemann zeta function for all complex s

  • polygamma
  • · Replies 6 ·
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6

Undergrad Integral test - ultimately decreasing function

  • TysonM8
  • · Replies 1 ·
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1

Jaden Harris' Velocity Ques. at Yahoo Answers

  • MarkFL
  • · Replies 1 ·
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1

Hyperreal Intermediate Value Theorem

  • poissonspot
  • · Replies 2 ·
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2

Solving Multivariable Limit: Does it Exist?

  • Petrus
  • · Replies 7 ·
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7

Graduate Bounded derivative Riemann integrable

  • jostpuur
  • · Replies 2 ·
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2

Area bounded by 3 curves

  • MarkFL
  • · Replies 1 ·
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1

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

  • phrox
  • · Replies 6 ·
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6

Graduate Can You Calculate Electric Fields Without Infinitesimals?

  • jaydnul
  • · Replies 2 ·
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2

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

  • Dustinsfl
  • · Replies 6 ·
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6

Graduate Differential equation for changing mass of a sphere

  • Hypatio
  • · Replies 10 ·
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10

Graduate When does infinitesimal notation break down?

  • jaydnul
  • · Replies 3 ·
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3

Evaluate the integral of 1/(1+(tan x)^(πe)) from 0 to π/2

  • anemone
  • · Replies 2 ·
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2

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

  • tade
  • · Replies 7 ·
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7

Difference Quotient for Linear and Quadratic Functions

  • MarkFL
  • · Replies 1 ·
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1

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

  • pellman
  • · Replies 7 ·
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7

Graduate Laplacian of 1/r Explodes at Origin

  • axsvl77
  • · Replies 13 ·
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13

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

  • rovaniemi
  • · Replies 8 ·
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8

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

  • MarkFL
  • · Replies 1 ·
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1

Undergrad Interpreting Limits of Functions That Approach Infinity

  • Tanya Sharma
  • · Replies 11 ·
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11

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

  • Hertz
  • · Replies 4 ·
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4

Can You Simplify This Complicated Integral Result?

  • alyafey22
  • · Replies 1 ·
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1

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

  • weirdoguy
  • · Replies 9 ·
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9

Undergrad Theta ranges for trig substitution

  • freshman2013
  • · Replies 4 ·
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4

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

  • Kris1
  • · Replies 5 ·
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5

Graduate How derive a CDF from MGF directly ?

  • nikozm
  • · Replies 1 ·
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1