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

Integral Properties: Real Estate Solutions

  • AquaGlass
  • · Replies 10 ·
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10

Graduate What is the reasoning behind bounding |2/3x| instead of |3x/2| in this limit?

  • coverband
  • · Replies 2 ·
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2

Graduate Differentiable function, limits, sequence

  • alligatorman
  • · Replies 3 ·
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3

Undergrad How Can You Integrate sin^4(2x) Without Using the Reduction Formula?

  • ookt2c
  • · Replies 4 ·
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4

Graduate Question on the Cauchy Condensation test

  • Simfish
  • · Replies 2 ·
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2

Undergrad Solve Integration: x^5cos(x^3) dx

  • mckallin
  • · Replies 4 ·
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4

Undergrad Newton's Method for Approximating f(x,y) & g(x,y)

  • shwin
  • · Replies 4 ·
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4

Graduate How Can We Prove the Countability of Algebraic Numbers of Fixed Degree?

  • rbzima
  • · Replies 1 ·
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1

Increasing/Decreasing function, no max/min

  • AquaGlass
  • · Replies 3 ·
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3

Undergrad Solve Integral Using Substitution: Integral Question with Example

  • Ravenatic20
  • · Replies 8 ·
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8

Undergrad Need to get an equation for when it is tangent

  • bharp24
  • · Replies 5 ·
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5

Graduate Expand integration and undesirable points

  • husseinshimal
  • · Replies 1 ·
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1

Undergrad How to Use the Washer Method to Find the Volume in Calculus?

  • darewinder
  • · Replies 3 ·
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3

Undergrad Solving Equation with Bisection Method - Real Root Between -2*pi and 2*pi

  • jrm2002
  • · Replies 1 ·
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1

Undergrad Limits of trigonometric functions

  • OrbitalPower
  • · Replies 10 ·
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10

Undergrad How Do You Solve an Integral Using U-Substitution and Logarithmic Functions?

  • acurtiz
  • · Replies 4 ·
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4

Undergrad Simple? Integration Problem (Trig Sub?)

  • PitchBlack
  • · Replies 3 ·
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3

Graduate Proving the Convergence of a Sequence: Monotonicity and Boundedness

  • paniurelis
  • · Replies 6 ·
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6

Graduate Using limit definition of multivariable derivative

  • jamiemmt
  • · Replies 2 ·
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2

Graduate Calculating Probabilities of Mutually Exclusive Events in Infinite Series

  • Somefantastik
  • · Replies 3 ·
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3

Undergrad I don't understand this integral

  • kentm
  • · Replies 8 ·
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8

Graduate Approximating conformal mappings

  • jostpuur
  • · Replies 2 ·
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2

Undergrad Help on 2 previous AP Calc AB test questions

  • Sympathy
  • · Replies 7 ·
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7

Undergrad A few questions about the Taylor series

  • Shing
  • · Replies 7 ·
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7

Graduate How Do You Derive β for the Given Partial Differential Equation?

  • j-lee00
  • · Replies 3 ·
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3

Graduate Fundamental Lemma of Variational Calculus

  • arhanbezbora
  • · Replies 5 ·
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5

High School What is the stationary point and its nature for the function f(x) = x^2-8x+4?

  • looi76
  • · Replies 1 ·
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1

Undergrad Leibniz's Operators: True or False?

  • qxcdz
  • · Replies 4 ·
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4

Undergrad Finding Length of Parabolic Segment - Get Help Here!

  • jrm2002
  • · Replies 7 ·
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7

Undergrad Why Do Partial Derivatives and Full Differentiability Differ for f(x,y)?

  • naggy
  • · Replies 3 ·
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3

Undergrad Integration by Parts, 1/x dillema

  • erjkism
  • · Replies 5 ·
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5

Undergrad How to Calculate Limits from Negative and Positive Approaches to Infinity?

  • duki
  • · Replies 9 ·
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9

Graduate How Can We Visualize the Unit Cube in \( \mathbb{R}^4 \)?

  • shwin
  • · Replies 4 ·
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4

Consider C[0,1] with sup metric.

  • coverband
  • · Replies 1 ·
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1

Undergrad So the area enclosed by the curves is approximately 0.9489 square units.

  • SciSteve
  • · Replies 7 ·
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7

Graduate Derivatives of a Function: General Case

  • Physics_wiz
  • · Replies 4 ·
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4

Graduate Proving an intersection empty set

  • rbzima
  • · Replies 1 ·
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1

Undergrad How Do I Find the Point of Inflection in a Cubic Graph?

  • garyljc
  • · Replies 4 ·
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4

Undergrad Can we get a negative value for areas of surfaces of revolution?

  • joseph9496
  • · Replies 4 ·
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4

Undergrad Proof of e Definition: Where Can I Find It?

  • Joza
  • · Replies 14 ·
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14

Undergrad What is the Missing Step in Integrating Cosine Functions?

  • koolrizi
  • · Replies 4 ·
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4

Undergrad Antidifferentiating To \int^{2c}_{c} e^f(x)dx = 7

  • snipez90
  • · Replies 3 ·
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3

Graduate How can I prove Minkowski's inequality for integrals?

  • A_I_
  • · Replies 2 ·
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2

Undergrad Working out a formula for 2 variables?

  • shipscat
  • · Replies 4 ·
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4

Graduate One-Half Derivative: Solving Basics of Polynomials

  • Feldoh
  • · Replies 3 ·
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3

Graduate Sum Math Problem: Find Condition for Finite Sum of Positive Real Numbers

  • mercedesbenz
  • · Replies 4 ·
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4

High School Solving Series Questions: 1+2+3...+n & 1^2+2^2+3^2...+n^2+n^3

  • HALO3
  • · Replies 9 ·
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9

Undergrad Evaluate Integral: Arctan(πx) - Arctan(x) from 0 to 2

  • shwin
  • · Replies 1 ·
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1

Undergrad Relationship between partial derivatives

  • Niishi
  • · Replies 5 ·
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5

Graduate Prove Open & Closed Sets in C[0,1] | Functional Analysis

  • patricia-donn
  • · Replies 5 ·
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5

Graduate What is the generalised integral of the square of a function

  • coverband
  • · Replies 2 ·
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2

Graduate Prove the sum of this series =pi/3

  • santa
  • · Replies 14 ·
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14

Undergrad How Can I Prove (1+x/n^n < e^x)?

  • wowolala
  • · Replies 3 ·
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3

Graduate Function to satisfy this integral for all parameters?

  • Gerenuk
  • · Replies 4 ·
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4

Ace AP Exams with Cheating: My Cousin's Story

  • plutoisacomet
  • · Replies 4 ·
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4

Graduate Functional Analysis: Proving Closure of Finite Sets in Metric Spaces

  • patricia-donn
  • · Replies 1 ·
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1

Undergrad Approximating ln using integrals.

  • zingoria
  • · Replies 2 ·
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2

Undergrad Indefinite Integrals: How Were They Figured Out?

  • jdavel
  • · Replies 3 ·
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3

Undergrad Integrating the Area Under a Shaded Region Using Substitution

  • kgcollegebound
  • · Replies 5 ·
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5

Undergrad Prevent Windshield Breakage: Minimizing Temperature Tolerance in mm

  • tdusffx
  • · Replies 1 ·
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1

Graduate Complex Solutions to z^\alpha-1=0

  • birulami
  • · Replies 1 ·
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1

Graduate Is it possible to define a bank angle for a helix roller-coaster track?

  • Beyond Aphelion
  • · Replies 1 ·
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1

Undergrad Integrals + Trig: Solve sin(2x)/23+cos(x)^2 dx

  • SciSteve
  • · Replies 9 ·
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9

Graduate Proof Unbounded Sequence: Real Sequence |x_n|>1/n

  • y_lindsay
  • · Replies 7 ·
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7

Graduate Is there such a continuous function?

  • y_lindsay
  • · Replies 8 ·
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8

Undergrad Proving the Derivative Rule for Rational Exponents

  • jostpuur
  • · Replies 7 ·
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7

Graduate Mastering the Challenging Integral: Tips and Tricks for Solving x^(x-1)dx

  • KingOrdo
  • · Replies 27 ·
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27

Graduate Convexity and concavity of a function

  • y_lindsay
  • · Replies 1 ·
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1

Graduate Is (0,1) Uncountable If and Only If \Re is Uncountable?

  • rbzima
  • · Replies 4 ·
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4

Undergrad Solution of 2 Equations with 3 Variables

  • m_niz
  • · Replies 5 ·
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5

Undergrad What is the Natural Length of a Spring Based on Work Required for Stretching?

  • chaotixmonjuish
  • · Replies 2 ·
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2

Undergrad What is a single valued surface and why is it important in mathematics?

  • coverband
  • · Replies 4 ·
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4

Undergrad Definite Integral of x^2*sqrt(7x+9) from 0 to 1 - Need Help!

  • mckallin
  • · Replies 4 ·
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4

Undergrad For which numbers is this convergence?

  • venke
  • · Replies 1 ·
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1

Graduate Surface Integral: Transform, Calculate and Add Up Results?

  • coverband
  • · Replies 4 ·
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4

Graduate Can Gamma of negative integers be proven using a Laurent expansion?

  • Pere Callahan
  • · Replies 2 ·
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2

Graduate Inequalities of Arithmetic Series and Integrals

  • wowolala
  • · Replies 2 ·
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2

Graduate Why does the first iterated integral exist but the second one does not?

  • kingwinner
  • · Replies 4 ·
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4

High School How Do You Calculate f(3) for the Function f(x)?

  • lazo
  • · Replies 1 ·
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1

Undergrad Different between Partial and Ordinary derivative

  • Link-
  • · Replies 1 ·
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1

Graduate Can you prove that two sequences with a specific feature have the same limit?

  • sutupidmath
  • · Replies 9 ·
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9

Graduate What is the Proof of the Euler Lagrange Equation?

  • ercagpince
  • · Replies 4 ·
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4

Undergrad Mastering Indefinite Integrals: Tips and Tricks for Evaluating Tricky Functions

  • uman
  • · Replies 6 ·
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6

Undergrad How do I evaluate the integral [integral] x^2 cos mx dx using u-substitution?

  • Zack88
  • · Replies 4 ·
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4

Graduate Exponential Integral & Incomplete Gamma function

  • Pere Callahan
  • · Replies 2 ·
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2

Graduate Minimization using first differential equation - help

  • suk
  • · Replies 6 ·
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6

Undergrad Bread-Even Analysis: Solving for t

  • duki
  • · Replies 3 ·
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3

Graduate Limits at non-accumulation points

  • breez
  • · Replies 3 ·
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3

Where to Find Ebook Version of Thomas' Calculus (11th Edition)?

  • btill900
  • · Replies 2 ·
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2

Undergrad Solving the Integration Problem: Understanding arcos(x) = -arcsin(x)

  • heshbon
  • · Replies 24 ·
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24

Graduate Generalizations of the Inv. Function Thm.

  • WWGD
  • · Replies 13 ·
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13

Graduate Feynman integration trick - textbooks?

  • Thorstein
  • · Replies 13 ·
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13

Undergrad The Importance of Limits in the Development of Mathematics

  • titaniumx3
  • · Replies 37 ·
2
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37

Graduate Integrate y = 2pi Int dz int(1-r^2)*r dr: Solution

  • maluta
  • · Replies 3 ·
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3

Graduate Looking for a good problem book for PROOF-BASED integration

  • mathboy
  • · Replies 3 ·
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3

Graduate Another indefinite integral question?

  • uman
  • · Replies 6 ·
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6

High School Solving Inequalities: 4x² + 2x ≤ 3x + 2

  • pinkyjoshi65
  • · Replies 3 ·
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3

Graduate Integral of a continuously differentiable function on [a,b].

  • rsa58
  • · Replies 3 ·
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3

Undergrad Is Partial Fraction Decomposition Needed for This Integral?

  • JayKo
  • · Replies 24 ·
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24

Undergrad Determine if a sequence {an} is monotonic, bounded, convergent

  • sara_87
  • · Replies 3 ·
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3