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 Inverse Fourier transform via D-contour gives double the expected result

  • MathematicalPhysics
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Graduate Integration by parts with field derivatives in Lagrangian

  • Ratzinger
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Undergrad Why can the dx in an integral be treated as a differential?

  • G01
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Undergrad Computing cosine of very large arguments like cos(π·2.34579^2000)

  • Edwin
  • · Replies 4 ·
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4

Undergrad Proving the Derivative of x^n: A Recursive Approach

  • Werg22
  • · Replies 8 ·
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Undergrad What's the Difference Between Epsilon-Delta and Epsilon-N Definitions?

  • j@zz!
  • · Replies 5 ·
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5

Undergrad How do you solve for the intersection of a line and a cosine function?

  • Edwin
  • · Replies 6 ·
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6

Undergrad Is there a constant value for b in b^x (ln b) = a^x for any x?

  • Werg22
  • · Replies 7 ·
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7

Undergrad What does it mean for a Turing machine to recognize a language?

  • physicsuser
  • · Replies 5 ·
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5

Graduate How to Prove the Continuity of a Derivative?

  • Treadstone 71
  • · Replies 11 ·
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11

Graduate Can Lebesgue measure be extended beyond measurable sets?

  • Palindrom
  • · Replies 15 ·
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15

Undergrad Surface Area and Volume Relationships?

  • johnw188
  • · Replies 5 ·
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5

Undergrad Demonstrating Limit Equalities for x→0

  • Werg22
  • · Replies 6 ·
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6

Graduate How Do You Evaluate a Double Integral Over a Helicoid Surface?

  • weckod
  • · Replies 1 ·
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Graduate How to Prove Pedoe's Inequality for Two Triangles?

  • maverick280857
  • · Replies 8 ·
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Graduate Set of p-adic integers is homeomorphic to Cantor set; how?

  • benorin
  • · Replies 1 ·
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1

Graduate Integrating Sin(1/z) and Z Sin (1/Z^3) Over C (Circle of Radius 1)

  • fahd
  • · Replies 3 ·
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3

Graduate Proving integral equality with complex exponentials and gamma function

  • kaosAD
  • · Replies 5 ·
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Graduate Does This Infinite Series Converge to 1/(ln2√2)?

  • NewScientist
  • · Replies 28 ·
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Undergrad Parametric Derivative Derivation

  • courtrigrad
  • · Replies 7 ·
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7

Graduate Why does the catenary minimize the integral with arc-length constraint?

  • John_Doe
  • · Replies 16 ·
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Graduate Can the FTC be derived from infinitesimal arguments?

  • dx
  • · Replies 7 ·
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Graduate Implicit and inverse function theorem

  • calvino
  • · Replies 3 ·
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Graduate Applying Fubini's theorem to swap integration order in ∫₀ᵃ∫ₓᵃ

  • Bernoulli
  • · Replies 3 ·
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3

Graduate Why is the covariant derivative defined this way?

  • John_Doe
  • · Replies 31 ·
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31

Undergrad Good problem but uncertain WHY

  • Robokapp
  • · Replies 4 ·
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4

Graduate Solving a Complex Equation Using Binomial Formula with Cosine and Sine Functions

  • Bob19
  • · Replies 15 ·
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15

Undergrad Using De Moivre Formula to Prove z^n = 1 is a Root of Unity

  • Bob19
  • · Replies 3 ·
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3

Graduate Want to learn more about Delta Function and Generalized Function

  • chingkui
  • · Replies 3 ·
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3

Undergrad How to Simplify the Derivative of sqrt(x/y) + sqrt(y/x)?

  • yourmom98
  • · Replies 3 ·
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3

Need chemistry and calculus gift ideas =)

  • end3r7
  • · Replies 8 ·
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8

Undergrad Is the alternating series sum((-1)^(n-1)*(2n+1)/(n+2)) convergent?

  • SigurRos
  • · Replies 4 ·
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4

Undergrad Convergence of sequences and series with r = 11/22

  • JessicaSTAR
  • · Replies 3 ·
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3

Graduate How do I find the derivatives of f and g?

  • ice_cream_cone
  • · Replies 1 ·
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Undergrad Convergence of the alternating series (-1)^(n-1)(2n+1)/(n+2)

  • SigurRos
  • · Replies 2 ·
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2

Undergrad Finding the sum of k²x^k for |x| < 1

  • Eismc[]
  • · Replies 1 ·
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Graduate Is the order of partial differentiation always immaterial for mixed derivatives?

  • Diophantus
  • · Replies 3 ·
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Undergrad Finding dy/dx from e^(2x) = sin(x+3y)

  • lostintranslation
  • · Replies 13 ·
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13

Undergrad How High Should the Light Be for Optimal Illumination at Point P?

  • maseratigt89
  • · Replies 3 ·
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High School Minimum length of line segment AB through (2,2)

  • dsb_101
  • · Replies 1 ·
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1

Undergrad Solving for dY/d? and Finding the Rate of Change of a Kite's Height

  • skivail
  • · Replies 2 ·
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2

Graduate Prove Squeezing Theorem for n Natural Numbers

  • hypermonkey2
  • · Replies 18 ·
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18

Undergrad Calculating the Length of a Function

  • daniel_i_l
  • · Replies 4 ·
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4

Graduate Solving System of Equations for t and b

  • Edwin
  • · Replies 6 ·
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6

Graduate Count the number of integer solutions

  • benorin
  • · Replies 1 ·
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Undergrad Is There a Simple Quantitative Technique for Projecting Values in a Series?

  • AA Institute
  • · Replies 2 ·
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2

Graduate Time ball needs for a certain path/courve

  • hriby
  • · Replies 4 ·
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4

Undergrad How can I derive the circumference formula using basic calculus?

  • vaishakh
  • · Replies 18 ·
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18

Undergrad Can a Function be Differentiable Without Being Continuous?

  • Treadstone 71
  • · Replies 16 ·
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16

Graduate Are These Negations of Limits and Continuity Correct?

  • Treadstone 71
  • · Replies 2 ·
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2

Graduate Power series with different limits for |z|<1 and |z|>1

  • benorin
  • · Replies 4 ·
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4

Graduate Where does the pi come from in the sum of inverse squares?

  • johnw188
  • · Replies 2 ·
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2

Undergrad How to Write Words Using Parametric Equations?

  • Leonidas
  • · Replies 2 ·
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2

Graduate If h and h∘f are C^∞, is f necessarily C^∞?

  • Palindrom
  • · Replies 2 ·
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2

Graduate Is the Volume Calculation for the Bounded Solid Correct?

  • Bob19
  • · Replies 1 ·
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1

Graduate Looking for the equations of hypertori

  • benorin
  • · Replies 1 ·
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1

Graduate Geometric product and infinite products with power-of-two exponents

  • benorin
  • · Replies 7 ·
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7

Graduate Does the Fourier Transform of Ln\zeta(2e^{-s}) Exist?

  • eljose
  • · Replies 1 ·
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1

Graduate Purely imaginary complex contour

  • saltydog
  • · Replies 3 ·
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3

Undergrad Finding an equation for data that becomes inaccurate above x=1500

  • Gelsamel Epsilon
  • · Replies 2 ·
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2

Graduate Solve Integral: x^(1/x) to Power of x^(1/x)

  • latyph
  • · Replies 5 ·
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5

Graduate Bernoulli formula for integrals

  • eljose
  • · Replies 1 ·
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1

Undergrad What Are the Differences Between Newton and Leibniz Calculus?

  • JEscribir
  • · Replies 4 ·
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4

Graduate Surface Volume in 4-d graph: Euclidean Geometry Question

  • Edwin
  • · Replies 4 ·
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4

Graduate Polynomial Function Definition Question

  • Quadratic
  • · Replies 1 ·
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1

Undergrad Infinite 45 degree golden ratio thingy series related

  • ebola_virus
  • · Replies 4 ·
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4

High School Finding Minimum from a completion of a square

  • laker_gurl3
  • · Replies 51 ·
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Graduate Calculating the Integration of Error Function

  • abdo375
  • · Replies 7 ·
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7

High School When should the Chain Rule be applied for finding derivatives?

  • Dustnite
  • · Replies 3 ·
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3

Graduate Can the Lambert-W Function Solve the Integral of x^x?

  • Castilla
  • · Replies 8 ·
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8

Graduate Does Integrating a Discrete Function Over All Space Equal Its Infinite Sum?

  • eljose
  • · Replies 2 ·
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2

Graduate How Do You Describe the Riemann Surface of w=z-sqrt(z^2-1)?

  • T-O7
  • · Replies 6 ·
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6

Graduate Where does the extra factor of 3 come from in this e^(2x)cos(2x) integral?

  • TSN79
  • · Replies 1 ·
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1

High School Whats wrong with this imaginary number problem?

  • G01
  • · Replies 9 ·
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9

Undergrad Have You Considered This Trick for Finding the Derivative of a Cubic Function?

  • Robokapp
  • · Replies 12 ·
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12

Undergrad Absolute Extrema and Relative Extrema?

  • G01
  • · Replies 11 ·
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11

Graduate Can the Taylor series be inverted without using Lagrange's theorem?

  • Nishkin
  • · Replies 1 ·
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1

Graduate What is a Measure with Finite Mass?

  • homology
  • · Replies 5 ·
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5

Undergrad Differentiability requirement for Maclaurin series and Laplace vs Fourier transforms

  • Lorens
  • · Replies 1 ·
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1

Undergrad Calc I - Why is it possible to combine these constants of integration?

  • opticaltempest
  • · Replies 7 ·
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7

Graduate Understanding Hilbert Space to Bilinear and Quadratic Forms

  • benorin
  • · Replies 6 ·
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6

Graduate Is There a Complex Number Equal to Its Own Exponential?

  • SebastianG
  • · Replies 3 ·
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3

Undergrad Differentials in u-substitution and Leibniz notation

  • samh
  • · Replies 14 ·
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14

Graduate Def'n of Limit Point? and limit.

  • calvino
  • · Replies 6 ·
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6

Undergrad Integration by Parts Contradiction

  • neo_
  • · Replies 4 ·
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4

Graduate Integral of an Infinite Product: ideas?

  • benorin
  • · Replies 6 ·
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6

Graduate Proof of Analytic Continuation for Riemann Zeta Function

  • Jameson
  • · Replies 4 ·
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4

Undergrad Is this the right section for contour integral questions?

  • robousy
  • · Replies 1 ·
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1

Undergrad Sum of all integrers of a certain degree

  • Werg22
  • · Replies 8 ·
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8

Graduate Examples of smooth but non-analytic curves

  • DeadWolfe
  • · Replies 8 ·
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8

Graduate Is the Integral of an Analytic Function Divergent at Infinity?

  • eljose
  • · Replies 11 ·
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11

Undergrad Can you solve the funny integral with a square root of tangent?

  • Gellmann
  • · Replies 12 ·
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12

Graduate Fourier Transform of Probability distribution

  • sam2
  • · Replies 2 ·
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2

Undergrad Is Calculus for Dummies a Worthwhile Investment?

  • QuantumTheory
  • · Replies 3 ·
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3

Undergrad Complex Integral: Solving from Ln to ArcTan

  • sam2
  • · Replies 7 ·
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7

Graduate How do you get from calculus to stochastic calculus?

  • aliendoom
  • · Replies 3 ·
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3

Graduate What are some invariants that can be used to distinguish between two spaces?

  • philosophking
  • · Replies 7 ·
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7

Graduate Squeeze Theorem for an arbitrary metric

  • eddo
  • · Replies 2 ·
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2

Undergrad Using Calculus to find Volume of 3-D Solids

  • Weather Freak
  • · Replies 3 ·
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3