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 Calculate the exact or approximate length of one period of the wave function

  • Ennio
  • · Replies 7 ·
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Undergrad Integral change of variables formula confusion

  • SchroedingersLion
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4

Undergrad Can I always think of derivatives this way?

  • Ahmed1029
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2

Graduate Series expansion of ##(1-cx)^{1/x}##

  • Arman777
  • · Replies 3 ·
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3

Undergrad Spivak, Ch. 20: Understanding a step in the proof of lemma

  • zenterix
  • · Replies 1 ·
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1

High School Let f_n denote an element in a sequence of functions that converges

  • Eclair_de_XII
  • · Replies 7 ·
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7

High School What is the role of dx in mathematical and scientific calculations?

  • anonymous24
  • · Replies 29 ·
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29

5.5.2 average value of sqrt{x} [0,4]

  • karush
  • · Replies 1 ·
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1

High School Where Did My Neglect of High-Order Terms Go Wrong in Integral Sums?

  • Mike_bb
  • · Replies 4 ·
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4

Undergrad Taming a Divergent Series -- But how does it work?

  • Swamp Thing
  • · Replies 14 ·
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14

High School Is this identity containing the Gaussian Integral of any use?

  • MevsEinstein
  • · Replies 8 ·
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8

Undergrad Inequality with integral and max of derivative

  • RaamGeneral
  • · Replies 3 ·
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3

Evaluating $\iint\limits_{\sum} f \cdot d\sigma $ on Cube S

  • WMDhamnekar
  • · Replies 3 ·
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3

Undergrad Should convex functions be defined on open or closed intervals?

  • junyoung
  • · Replies 4 ·
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4

High School How to write this in terms of ##\zeta (x)##?

  • MevsEinstein
  • · Replies 5 ·
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5

Undergrad Reasoning behind Infinitesimal multiplication

  • Chenkel
  • · Replies 22 ·
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22

Undergrad Properties of Line Integrals question

  • WMDhamnekar
  • · Replies 38 ·
2
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38

Graduate Vector analysis question. Laplacian of scalar and vector field

  • LagrangeEuler
  • · Replies 7 ·
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7

Undergrad How Does Gaussian-Legendre Quadrature Approximate Non-Polynomial Functions?

  • FranzS
  • · Replies 2 ·
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2

Graduate How to find F(x,y) from a line integral hint

  • WMDhamnekar
  • · Replies 5 ·
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5

How to find F(x,y) for $f(x,y)= h(y)\hat{i} + g(x)\hat{j}?$

  • WMDhamnekar
  • · Replies 11 ·
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11

Undergrad What is the equation for line integrals involving the gradient of a function?

  • WMDhamnekar
  • · Replies 3 ·
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3

Graduate How to Derive a Closed Form for a Double Sum with Stochastic Variables?

  • tworitdash
  • · Replies 5 ·
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5

Proving $\displaystyle\int_C \vec{F}\cdot d\vec{r} = 0$ with Closed Curve

  • WMDhamnekar
  • · Replies 6 ·
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6

Undergrad Robert Adams textbook: Acceleration example

  • bigmike94
  • · Replies 7 ·
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7

How to prove this corollary in Line Integral using Riemann integral

  • WMDhamnekar
  • · Replies 1 ·
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1

What is the Basic Idea of Limits in Calculus?

  • nycmathguy
  • · Replies 4 ·
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4

5.2.1 vol of sin x^2 ; 0\le x \le \dfrac{\pi}{2}

  • karush
  • · Replies 2 ·
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2

Undergrad Area of a Circle: Solving the Equation

  • Vector1962
  • · Replies 3 ·
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3

High School How to merge the sum and ##x^n##?

  • MevsEinstein
  • · Replies 10 ·
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10

High School Can the continuity of functions be defined in the field of rational numbers?

  • Eclair_de_XII
  • · Replies 5 ·
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5

High School Representation of infinitesimals in different ways

  • Mike_bb
  • · Replies 2 ·
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2

Minimum of product of 2 functions

  • sarrah1
  • · Replies 2 ·
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2

Graduate A discrete version of the normal distribution

  • Ad VanderVen
  • · Replies 2 ·
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2

Undergrad How do I compute the second derivative of a one-dimensional array?

  • btb4198
  • · Replies 42 ·
2
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42

Antidifferentiation by Substitution

  • bunnypatotie
  • · Replies 8 ·
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8

Undergrad Is this integral using change of variables technique correct?

  • WMDhamnekar
  • · Replies 1 ·
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1

Undergrad Which of the two answers is correct?

  • WMDhamnekar
  • · Replies 7 ·
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7

Integrate 3/(x(2-sqrt(x))) - No Partial Fractions

  • araz1
  • · Replies 5 ·
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5

Undergrad How Do You Integrate Expressions Like These?

  • askor
  • · Replies 6 ·
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6

How to use change of variables technique here?

  • WMDhamnekar
  • · Replies 2 ·
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2

Graduate Curl in cylindrical coordinates -- seeking a deeper understanding

  • LagrangeEuler
  • · Replies 11 ·
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11

Undergrad Solve for ##n## in ##\frac{1}{(T+\frac{1}{U^{1/n}})^n} = G##

  • MevsEinstein
  • · Replies 5 ·
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5

Triple Integrals: Finding Volume of Solid S Bounded by Planes

  • WMDhamnekar
  • · Replies 5 ·
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5

*Volume of a cone change of rate of volume with respect to h and r

  • karush
  • · Replies 8 ·
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8

Undergrad Calculus of Variations on Kullback-Liebler Divergence

  • Master1022
  • · Replies 3 ·
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3

Undergrad I want to know which software was used to create vector calculus graph

  • Alexanddros81
  • · Replies 2 ·
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2

High School Why is Delta y not equal to dy for infinitesimally dx on the graph?

  • Mike_bb
  • · Replies 8 ·
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8

How to Solve the IVP Using an Integration Factor?

  • hiyum
  • · Replies 6 ·
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6

High School Why do I not understand what seems to be basic Calculus?

  • mcastillo356
  • · Replies 11 ·
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11

Graduate Finding the differential of an expression with multiple variables

  • ssafdarpk
  • · Replies 1 ·
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1

Graduate Multiplying divergent integrals using Hardy fields approach

  • Anixx
  • · Replies 3 ·
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3

High School Mean-Value Theorem, Taylor's formula, and error estimation

  • mcastillo356
  • · Replies 3 ·
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3
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7

Undergrad Can you solve a Disk, Washer, Shell method problem without drawing a graph?

  • Vividly
  • · Replies 4 ·
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4

Insights A Novel Technique of Calculating Unit Hypercube Integrals

  • benorin
  • · Replies 1 ·
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1

13.3.2 What is the 50th term of the sequence

  • karush
  • · Replies 3 ·
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3

Undergrad Calculating the surface area of a sphere using dA

  • annamal
  • · Replies 33 ·
2
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33

Antiderivative of a polynomial expression

  • bearn
  • · Replies 4 ·
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4

Undergrad High schooler Develops new Integration Technique

  • jedishrfu
  • · Replies 39 ·
2
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39

High School Problem with the concept of differentiation

  • rudransh verma
  • · Replies 46 ·
2
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46

Graduate Vector analysis and distributions

  • LagrangeEuler
  • · Replies 2 ·
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2

High School What is this equation called and why is it regarded as beautiful?

  • Physics Slayer
  • · Replies 4 ·
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4

High School Is it possible to find the integral of ##f(x)/x^2##?

  • MevsEinstein
  • · Replies 8 ·
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8

Maxima and Minima in calculus

  • WMDhamnekar
  • · Replies 3 ·
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3

High School Why 1 / ∞ = 0 but ∞ * 0 is not equal to 1?

  • danielassayag
  • · Replies 44 ·
2
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44

51 How far will the car travel in 10 sec

  • karush
  • · Replies 2 ·
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2

Undergrad Time derivatives in variational calculus

  • feynman1
  • · Replies 15 ·
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15

Integrating Factor Method for Solving y' + y = e^{-2t}

  • hiyum
  • · Replies 3 ·
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3

Vertex form, intervals of increase/decrease for g(t)=3t²-5t+1

  • karush
  • · Replies 2 ·
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2

- Length of curve to 4 decimal pl

  • karush
  • · Replies 5 ·
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5
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3

How would you approach this integral?

  • Lorena_Santoro
  • · Replies 2 ·
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2

1.3 find dx of (7+9x-6\sqrt{x})/x

  • karush
  • · Replies 4 ·
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4

High School Linearization of a function error viewed with differentials

  • mcastillo356
  • · Replies 14 ·
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14

Undergrad Keisler Elementary Calculus: computing standard parts of expressions

  • rstor
  • · Replies 26 ·
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26

Undergrad Simplifying nested summations and solving for limits

  • ReubenDS
  • · Replies 6 ·
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6

Undergrad Curiosity: there exists the exponential integral?

  • Ssnow
  • · Replies 3 ·
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3

High School This CAN'T be true (Is my proof that 1=0 correct?)

  • MevsEinstein
  • · Replies 8 ·
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8
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9

Undergrad {Edit-Solved} Confirmation requested on deriving functions from graphs

  • warhammer
  • · Replies 4 ·
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4

Graduate Evaluating a double integral with complex Gaussian and phase terms

  • Bart Bas
  • · Replies 1 ·
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1

Graduate Physical interpretation for this? (dynamics of Newton's method)

  • Unkraut
  • · Replies 1 ·
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1

Graduate Rayleigh Ritz and inner products

  • member 428835
  • · Replies 8 ·
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8

Undergrad Looking for Guarantees that the method of fixed-point iteration will work

  • mcastillo356
  • · Replies 22 ·
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22

Undergrad Is the sign of the integral of this function negative?

  • Rlwe
  • · Replies 2 ·
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2

Undergrad Approximating discrete sum by integral

  • Kashmir
  • · Replies 6 ·
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6

Undergrad Mean value theorem - prove inequality

  • physics1000
  • · Replies 19 ·
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19

Undergrad How Does the A/B Relationship Connect to Geometric Series?

  • Jehannum
  • · Replies 2 ·
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2

High School Derivative of Square Root of x at 0

  • mopit_011
  • · Replies 3 ·
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3

Graduate Prove a formula with Dirac Delta

  • Salmone
  • · Replies 3 ·
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3

High School How to express ##3^{\sqrt(2)}## in terms of natural logarithms

  • MevsEinstein
  • · Replies 10 ·
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10

High School Understanding about Sequences and Series

  • Vividly
  • · Replies 3 ·
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3

Undergrad Why Does Tax-Deferred Compounding Offer a Financial Edge Over Annual Taxation?

  • BWV
  • · Replies 4 ·
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4
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2

Undergrad What Exactly is Step Size in Gradient Descent Method?

  • Dario56
  • · Replies 3 ·
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3

Undergrad Absolute difference between increasing sum of squares

  • JohnnyGui
  • · Replies 22 ·
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22

Graduate Simplifying a double summation

  • Ad VanderVen
  • · Replies 3 ·
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3

-7.8.98 amplitude period PS VS graph. of cos eq

  • karush
  • · Replies 5 ·
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5
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8