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

Integrating e^(-u) after u-substitution on ∫cos(5x)/e^(sin(5x)) dx

  • find_the_fun
  • · Replies 4 ·
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4

Undergrad Can I Use Functions Within Functions for Integration?

  • member 392791
  • · Replies 1 ·
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1

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