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 Approximation of error function-type integral

  • RedSonja
  • · Replies 2 ·
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2

Graduate How fast does convergence have to be

  • gottfried
  • · Replies 4 ·
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4

Graduate Can we Prove \lim_{n→∞}S_{n-1} = L Given \lim_{n→∞}S_{n} = L?

  • Bipolarity
  • · Replies 4 ·
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4

Graduate Fourier Series and Energy Density

  • chief10
  • · Replies 10 ·
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10

Graduate How Do You Calculate Error Bounds for Maclaurin Polynomial Approximations?

  • chief10
  • · Replies 5 ·
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5

Undergrad How to Integrate e^(1/x)?

  • iVenky
  • · Replies 5 ·
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5

Graduate Would this require a Taylor Series Proof

  • Bachelier
  • · Replies 4 ·
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4

Graduate Referring to proved lim of the function.

  • A Dhingra
  • · Replies 8 ·
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8

Graduate Complex analysis - Louvilles Theorem (I think)

  • jrp131191
  • · Replies 4 ·
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4

Undergrad How does one integrate a quotient?

  • James2
  • · Replies 4 ·
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4

High School Does a horizontal line have horizontal asymptotes?

  • Esoremada
  • · Replies 2 ·
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2

Graduate Integral over spherical Bessel function

  • hmhm696
  • · Replies 4 ·
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4

High School How to Integrate x/(x+2)?

  • Redoctober
  • · Replies 2 ·
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2

Undergrad When to use Gen. Fourier, F.Sine, F.Cos, and Laplace Transforms

  • orangesun
  • · Replies 3 ·
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3

High School How do I figure out how much water force is needed to push how much weight?

  • pickerguy
  • · Replies 1 ·
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1

Undergrad Why Is the Derivative of sin(ax²) Equal to 2axcos(ax²)?

  • wahaj
  • · Replies 3 ·
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3

Undergrad Questions Regarding Definition of One-to-One and Onto Functions?

  • RadiantL
  • · Replies 2 ·
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2

Undergrad Why can't the indefinite integral be written with sigma notation?

  • hddd123456789
  • · Replies 3 ·
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3

Undergrad So with the equation MU=ln(C1)+ln(160-1.1C1) the derivative is

  • surferbarney0729
  • · Replies 2 ·
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2

Undergrad Integration in two different coordinate systems

  • Undoubtedly0
  • · Replies 4 ·
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4

Graduate From a fraction with infinite sum in denominator to partial fractions?

  • megzaz
  • · Replies 1 ·
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1

Compute the circulation of F along C

  • Uniman
  • · Replies 3 ·
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3

Undergrad Infinitesimals in integration vs delta x in summations

  • MrMultiMedia
  • · Replies 2 ·
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2

What went wrong when applying the FTOC to maximize arc length?

  • MarkFL
  • · Replies 2 ·
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2

Finding k in the regular partition formula for Riemann sums

  • alane1994
  • · Replies 2 ·
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2

Undergrad Implicit Differentiation, chain rule, and simplifying

  • James2
  • · Replies 2 ·
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2

Undergrad Hyperbolic cosine looks like a parabola

  • Mathguy15
  • · Replies 2 ·
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2

Undergrad Matrix Multiplication and sigma notation

  • Bashyboy
  • · Replies 5 ·
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5

Graduate Complex inversion formula (branch cut issue)

  • jrp131191
  • · Replies 5 ·
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5

Graduate Can the Dirac Delta Function be Applied in Curved Space?

  • friend
  • · Replies 16 ·
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16

Graduate Integrating e^x/cos(x) with Euler's formula

  • cragar
  • · Replies 1 ·
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1

Undergrad Points in 3D space (Related to Calculus)

  • Vodkacannon
  • · Replies 4 ·
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4

Find cubic coefficients from maximum, minimum and inflection point

  • karush
  • · Replies 4 ·
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4

Undergrad Visualizing Integration as Summing Over a Variable

  • pamparana
  • · Replies 2 ·
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2

Graduate Second derivative composite function

  • aliekor
  • · Replies 5 ·
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5

Undergrad Using complex numbers for evaluating integrals

  • genjix
  • · Replies 4 ·
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4
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1

Graduate Why rotate Beukers's 0th integral to calculate zeta(2)?

  • inkliing
  • · Replies 1 ·
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1

Graduate Can you reverse the epsilon-delta definition to check if a limit exists?

  • A Dhingra
  • · Replies 5 ·
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5

Graduate Numerical Integration of Double integrals

  • ruzfactor
  • · Replies 5 ·
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5

What is the method for integrating 1/(1+x^n) using roots of polynomials?

  • juantheron
  • · Replies 1 ·
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1

Graduate Why Is Leibnitz Rule Applied This Way?

  • X89codered89X
  • · Replies 1 ·
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1

Undergrad Trying to find the area between two curves

  • Triathlete
  • · Replies 2 ·
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2

Graduate Why Aren't Partial Derivatives Written with Respect to Composite Variables?

  • demonelite123
  • · Replies 9 ·
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9

Graduate How do I sum up a Taylor series with unusual coefficients?

  • Xarx
  • · Replies 14 ·
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14

Undergrad How to Factor Constants Out of Trigonometric Integrals?

  • mattyc33
  • · Replies 7 ·
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7

Graduate Finding Inverse the Function of multiple variable functions

  • BrainHurts
  • · Replies 8 ·
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8

Graduate Why is dx/dt*(\delta x*dx/dt) equal to 1/2\delta(dx/dt)^2?

  • Gloyn
  • · Replies 4 ·
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4

Integral $\displaystyle\int \frac{1}{\sqrt[4]{1-x^4}}dx$ Solution

  • juantheron
  • · Replies 9 ·
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9

High School Simplify the expression (need hint)

  • Kifsif
  • · Replies 2 ·
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2

Can You Spot the Error in This Calculus Problem Solution?

  • DeusAbscondus
  • · Replies 3 ·
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3

Can't solve 12x² - 60x + 200 = 0 with the quadratic formula?

  • DeusAbscondus
  • · Replies 4 ·
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4

Using integration find the volume of cutted cone

  • Amer
  • · Replies 1 ·
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1

Undergrad Understanding Transfer Functions in ODEs

  • incognitor
  • · Replies 1 ·
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1

Distance between a line and a point

  • Amer
  • · Replies 2 ·
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2

Undergrad Don't understand convergence as n approaches infinity

  • Mathguy15
  • · Replies 3 ·
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3

Graduate Derivative of a function involving square root of sum of squares

  • onako
  • · Replies 6 ·
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6

Undergrad Time derivative of rotational kinetic energy and potential energy

  • CrazyNeutrino
  • · Replies 10 ·
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10

We have y''(t)=B x y'(t), where y:R->R^3

  • Poirot1
  • · Replies 4 ·
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4

Undergrad Converting 2D density (circle) to 3D density (sphere)

  • Jimbo2
  • · Replies 2 ·
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2

Undergrad Questions regarding Taylor series

  • 11thHeaven
  • · Replies 4 ·
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4

Graduate Partial derivative with respect to a function, rather than variable?

  • la6ki
  • · Replies 5 ·
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5

Trig identity problem embedded in chain-rule myopia

  • DeusAbscondus
  • · Replies 2 ·
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2

Undergrad Calculus derivative of given function vanishes at some point between a and b

  • tachyon_man
  • · Replies 3 ·
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3

Continuity of f(0): Does It Exist?

  • Chipset3600
  • · Replies 3 ·
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3

How is the parital derivative (even in Leibniz notation) ambiguous?

  • find_the_fun
  • · Replies 1 ·
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1

Does sinx < x hold true for all positive values of x?

  • Amer
  • · Replies 1 ·
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1

Prove that lim sin(x)/x = 1 as x goes to 0(Epsilon delta )

  • Amer
  • · Replies 1 ·
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1

Undergrad Should polar integration include the r factor in the differential?

  • ruzfactor
  • · Replies 7 ·
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7

Graduate Definite double integral of e^x^2

  • dobedobedo
  • · Replies 5 ·
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5

Any reason why this kind of problem is so hard?

  • DeusAbscondus
  • · Replies 12 ·
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12

Graduate Integral Problem: Calculating f_1^e

  • bugatti79
  • · Replies 1 ·
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1

Epsilon-Delta proof for continuity of x^3 at x=1

  • Tomp
  • · Replies 2 ·
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2

Factoring Difficulties: Derivative of $(3x+1)^2(2x-3)^3$

  • DeusAbscondus
  • · Replies 2 ·
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2

Undergrad Why does the Lagrange multiplier method ∇f = λ∇g work?

  • smize
  • · Replies 3 ·
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3

Undergrad Limit Comparison Test: Does Order Matter?

  • Eats Dirt
  • · Replies 1 ·
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1

Undergrad Local Extrema of Functions Exhibiting Self-Similarity

  • moonlitdawn
  • · Replies 3 ·
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3

Graduate Visually Representing Complex Derivatives

  • TheRainmaker
  • · Replies 3 ·
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3

Graduate Why exclude the point a from S in limit definitions

  • Artusartos
  • · Replies 6 ·
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6

Graduate Is it possible to let limit multiplication rule not be exist?

  • rfrederic
  • · Replies 3 ·
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3

Graduate Is Substituting sinx/lnx Legal?

  • romsofia
  • · Replies 1 ·
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1

Graduate Detecting Intersections of Functions: Is There a Foolproof Method?

  • Physt
  • · Replies 1 ·
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1

Undergrad Significance of the third derivative

  • Bipolarity
  • · Replies 8 ·
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8

Graduate Taylor expansion of a vector field

  • Trifis
  • · Replies 5 ·
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5

Undergrad Does the comparison test work for this series inequality?

  • Square1
  • · Replies 1 ·
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1

Undergrad How is the differentiation of a vector sum performed?

  • FOIWATER
  • · Replies 2 ·
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2

Integrate Poisson Kernel: Complex Integration/Residue Theory

  • Dustinsfl
  • · Replies 12 ·
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12

Graduate Difficult derivative involving vectors and trig

  • Tornam
  • · Replies 1 ·
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1

Undergrad What is the derivative of ln(u)^k?

  • silvershine
  • · Replies 4 ·
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4

Solving a Fun Problem: Region Within a Square

  • MarkFL
  • · Replies 9 ·
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9

High School Why do functions have holes and asymptotes?

  • gokuls
  • · Replies 1 ·
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1

Graduate Integral from Sterman-Weinberg jets not simplifying to log δ²

  • eoghan
  • · Replies 1 ·
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1

Integral of $\frac{1}{(3+4\sin x)^2}dx$

  • juantheron
  • · Replies 2 ·
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2
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1

Newton's method of approximation

  • DeusAbscondus
  • · Replies 8 ·
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8

Graduate How can I generalize the derivative of a reciprocal function?

  • Aspiring
  • · Replies 8 ·
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8

Undergrad Differential Equations - What is the Meaning of dy/dx?

  • Physics-Pure
  • · Replies 19 ·
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19

Undergrad Findind Area element in Cylindrical Coordinate System

  • chessmath
  • · Replies 2 ·
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2

Undergrad Do I Need to Convert Theta to Radians for Taking the Derivative?

  • jonesyxd
  • · Replies 6 ·
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6

Graduate Prove the case r= -n (n is a positive integer)of the general power rule

  • tachyon_man
  • · Replies 1 ·
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1