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 Is the Definite Integral a Valid Measure of Area? A Rigorous Proof

  • DeathKnight
  • · Replies 7 ·
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Graduate Understanding the Unit Normal Vector in Multivariable Differential Calculus

  • issisoccer10
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2

Undergrad Convert y=3x into polar form: Step-by-Step Guide with Example | Learn Math

  • popsquare
  • · Replies 3 ·
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3

Undergrad Can I Teach Myself Calculus? Tips and Resources for Independent Learning

  • archlastwords
  • · Replies 4 ·
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4

Undergrad What is the solution to ΣΣ(sinx)(cosx)?

  • abhaiitg
  • · Replies 5 ·
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5

Undergrad How Do You Calculate the Partial Derivatives of f(x, y) = xy² + x²y?

  • tnacrew
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2

Graduate How Can Polynomial Decomposition Best Fit Experimental Data?

  • Budbus
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Graduate Unif. conv. of fx=Σc_n*x^n on |x|<h implies unif. conv. on |x|<=h?

  • omyojj
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5

Graduate Residue of ArcTan: Is the Residue Theorem Applicable?

  • Pere Callahan
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Graduate Analysislimsup(inf) |sinn|^1/n = ? it`s not easy

  • omyojj
  • · Replies 7 ·
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Undergrad Is the Differentiation of Power in a Circuit Correct?

  • Joza
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2

Graduate Maximal area of a convex region bounded by hyperbolas

  • Xevarion
  • · Replies 8 ·
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Graduate Do continuous functions preserve open intervals?

  • buddyholly9999
  • · Replies 10 ·
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Undergrad What Are the Best Resources to Learn Both Discrete and Continuous Convolution?

  • end3r7
  • · Replies 1 ·
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Undergrad How to Prove Definite Integral of Sin(nx) * Cos(mx) = 0?

  • uman
  • · Replies 5 ·
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5

Graduate Proving Boundedness of Double Index Array | Math Problem

  • linuxux
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3

Undergrad How can I find the equation of the inverse function of a cubic function?

  • agentnan
  • · Replies 12 ·
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12

Graduate Is the Function f(x) = x/(x-1) Uniformly Continuous on [1.5, ∞)?

  • Caeder
  • · Replies 16 ·
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Undergrad What is the antiderivative of x^2 + (5/x^5) +cos9x - e^-7x?

  • sntawkin
  • · Replies 3 ·
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Graduate Continuity with the following function

  • Caeder
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Graduate Wallis Product into Stirlings Formula

  • rbzima
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3

Graduate Can f(x) Be Expressed as an Exponent of x When Reversing a Series Expansion?

  • dst
  • · Replies 5 ·
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Graduate Why Is My Gaussian Quadrature Implementation Inaccurate?

  • valis
  • · Replies 1 ·
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1

Undergrad How do i integrate: square root of((x^2)-4) ?

  • sara_87
  • · Replies 6 ·
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6

Undergrad Script to solve quadratic - help

  • mklein
  • · Replies 4 ·
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4

Graduate Convergence and Growth Rate of Lp Norms

  • redrzewski
  • · Replies 3 ·
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3

Graduate Definition of XY: Equivalence Relation for x,y ∈ Q

  • mrroboto
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Undergrad It looks simple, but I can’t do it

  • tomcenjerrym
  • · Replies 2 ·
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2

High School Integrating 1/3x: Is it 1/3 ln 3x or 1/3 ln x?

  • Mattofix
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Graduate Is the Set S Defined by F(x,y)=0 a Smooth Curve?

  • kingwinner
  • · Replies 4 ·
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4

Undergrad Recommendation on good Analysis textbook to supplement class

  • M1STERMARBLES
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1

Undergrad Volume of a Sphere: Calculation & Explanation

  • mjordan2nd
  • · Replies 5 ·
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5

Graduate Integrating expression with two Abs terms

  • Baggio
  • · Replies 7 ·
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7

Graduate If E is measurable then so it's each of it's translates

  • SiddharthM
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Graduate Can the Fourier Series for This Step Function Be Determined by Observation?

  • neelakash
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High School Can integration by parts (and other int related Q's)

  • AbedeuS
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Undergrad Do we include asymptotes as critical points?

  • LadiesMan
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3

Graduate The points at which a f is continuous is a G-delta

  • SiddharthM
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3

Graduate F'(z)=0 implies f is not 1-1 near z

  • rudinreader
  • · Replies 4 ·
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Graduate Rigorous treament of differentials?

  • pivoxa15
  • · Replies 11 ·
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11

Graduate Help with Integral: Solve from 0 to pi

  • pilopais
  • · Replies 2 ·
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2

Graduate Brunelleschi's Dome: Quinto Acuto Function in Cylindrical Coordinates

  • xjumpman
  • · Replies 2 ·
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2

Undergrad Multivariable differential calculus refresher?

  • Euclid
  • · Replies 2 ·
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2

Undergrad Should Differential or Integral Calculus be Taught First?

  • The_Z_Factor
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Undergrad Which expression yields the best approximation to df/dx (h 1)?

  • neelakash
  • · Replies 4 ·
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Undergrad How to sketch x^(2/3) + y(2/3) = 1 ?

  • kingwinner
  • · Replies 3 ·
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3

Graduate Proof that f is Constant on the Nonnegative Reals

  • SiddharthM
  • · Replies 3 ·
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Undergrad Mastering Indefinite Integration: Tips for Solving (sin(x))/x Without Tricks

  • voomdama
  • · Replies 2 ·
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High School What is the limit of 1/(2(x^1/2)) as x approaches 0 from the positive side?

  • Joza
  • · Replies 6 ·
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6

Graduate What is the connectedness problem from Conway's Complex Analysis?

  • rudinreader
  • · Replies 10 ·
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Graduate Exact Definition of Riemann Integral

  • Mr.Brown
  • · Replies 7 ·
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7

Undergrad Geometrical interpretation of dot product?

  • excalibur313
  • · Replies 4 ·
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Graduate Questions on uniform convergence

  • SiddharthM
  • · Replies 7 ·
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Undergrad How can I integrate this using partial fractions?

  • Adventurehero
  • · Replies 8 ·
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Undergrad Interested in finding volumes with multivariables to understand the background

  • adradmin
  • · Replies 1 ·
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1

High School A question on these derivative laws

  • The_Z_Factor
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Undergrad How Do You Solve the Integral of x^2*sin(ax)dx?

  • Psyc
  • · Replies 5 ·
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5

Graduate Calculating Length of a Parameterized Plane Curve using HMMT Calculus Problem

  • snipez90
  • · Replies 5 ·
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Graduate Preparing for Logic Final: Union of T_n Satisfiable & Not Finitely Axiomatizable

  • moo5003
  • · Replies 1 ·
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1

Graduate A function discontinuous only on Q

  • rudinreader
  • · Replies 6 ·
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6

Undergrad Classical notation for line integrals

  • amolv06
  • · Replies 2 ·
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Graduate Books for Analysis & Physics: Advice Needed

  • Enjolras1789
  • · Replies 5 ·
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5

Graduate Another nontrivial (trick) question in Chapter 7

  • rudinreader
  • · Replies 1 ·
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1

Graduate Convergence/Divergence of series

  • Thomas_
  • · Replies 4 ·
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Graduate Tricky Multiple integral word problem

  • numberonenacho
  • · Replies 18 ·
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Undergrad A center of a circle with a parabola

  • inferi
  • · Replies 2 ·
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2

Undergrad Does the Converse of the Mean Value Theorem Hold?

  • xalvyn
  • · Replies 2 ·
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2

Graduate What's to come after little rudin?

  • jonasK
  • · Replies 10 ·
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10

Graduate Example of f integrable but |f| not integrable

  • SiddharthM
  • · Replies 12 ·
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12

Graduate Identifing a vector from all Lp norms ?

  • memming
  • · Replies 4 ·
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4

Graduate Working with Surface of Revolution of Inverse Square

  • natai
  • · Replies 3 ·
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3

Undergrad How do you prove a^{x}=e^{xlna}?

  • Lipi
  • · Replies 6 ·
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6

Graduate Integrating this double integral

  • Baggio
  • · Replies 1 ·
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1

Graduate Prove (1+x^2)(1+y^2)(1+z^2)/(xyz)>=8 with x,y,z Positive Real Numbers

  • inferi
  • · Replies 7 ·
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7

Graduate Contour integral and delta function

  • StatusX
  • · Replies 5 ·
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5

Graduate Help with real-life biochemistry lab math problem.

  • mspittel
  • · Replies 1 ·
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1

High School Looking at the draining time of water over a certain distances

  • Big Drop
  • · Replies 1 ·
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1

Graduate Variational calculus with bounded derivative constraints

  • retrofit81
  • · Replies 5 ·
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5

Graduate How can I find the minimum volume of two rings in soap water with given radii?

  • LMZ
  • · Replies 5 ·
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5

Graduate Find Integer Solutions for Tricky Equations with Maximum Error of +- pi/7

  • PseudoComplex
  • · Replies 1 ·
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1

Undergrad Inverse Function: One-to-One Property and Area Calculation [f(x)=x^5+x^3+x]

  • gruffy123
  • · Replies 2 ·
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2

High School What are derivatives and integrals?

  • The_Z_Factor
  • · Replies 5 ·
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5

Undergrad What does it mean for a series to converge on a number k?

  • The_Z_Factor
  • · Replies 1 ·
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1

Graduate Why is the upper limit zero in this Laplace transformation problem?

  • neelakash
  • · Replies 7 ·
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7

High School Find Price to Maximize Revenue for 1000 Widgets

  • Tekee
  • · Replies 1 ·
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1

High School Where Should I Begin with Learning Calculus at Home?

  • The_Z_Factor
  • · Replies 3 ·
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3

Undergrad Computing Limit with L'Hospital's Rule: 1-e^(3x)/sinx

  • sara_87
  • · Replies 6 ·
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6

Undergrad A Rate of change and a differentials problem

  • aaroffl
  • · Replies 1 ·
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1

High School Objective Shortcuts to Save Time: Needed Now

  • vishu
  • · Replies 2 ·
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2

Undergrad Solve Log(-1) = Real Number Problem

  • nejnadusho
  • · Replies 24 ·
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Undergrad Can i find more exercises and explanation online?

  • maximf
  • · Replies 1 ·
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1

Undergrad Calculus created in India 250 years before Newton

  • fourier jr
  • · Replies 16 ·
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16

Graduate Reimann Integration, squares and cubes of functions

  • SiddharthM
  • · Replies 7 ·
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7

Undergrad Understanding the Limit of x * cot(x) as x Approaches 0: Explained and Solved

  • uman
  • · Replies 5 ·
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5

Undergrad Graphing complex functions(the image)

  • desaila
  • · Replies 2 ·
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2

Graduate How Does Mapping Affect Induced Topologies in Non-Injective Cases?

  • jostpuur
  • · Replies 6 ·
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6

Undergrad Solve Difficult Integrals Step-by-Step

  • poopforfood
  • · Replies 2 ·
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2

Undergrad Solve Log(10^(x))=Log(b^(x)) = 1

  • nejnadusho
  • · Replies 1 ·
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1

Undergrad How Is the Integral of Natural Log of x Calculated?

  • Zeios
  • · Replies 1 ·
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1

Undergrad Q: Integration of e^(-t/2)cos(n2t)dt

  • Peter_L
  • · Replies 2 ·
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2