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

Prove the limit of x² - 2x + 4 as x approaches 1

  • Sudharaka
  • · Replies 2 ·
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2

Trigonometric substitution with missing factor in final answer

  • MacLaddy1
  • · Replies 2 ·
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2

Undergrad How to study the behavior of a vector valued function?

  • maCrobo
  • · Replies 1 ·
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1

Graduate Integral representation of the Euler-Mascheroni constant

  • Millennial
  • · Replies 2 ·
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2

Graduate A ZERO Curl and a ZERO divergence

  • Robt Massagli
  • · Replies 4 ·
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4

Graduate Derivative of a gaussian mixture

  • exmachina
  • · Replies 1 ·
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1

High School What is the process for implicit differentiation?

  • Bashyboy
  • · Replies 12 ·
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12

Undergrad Confusion about squeeze theorem example; plugging 0 into x when x ≠ 0.

  • Mholnic-
  • · Replies 8 ·
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8

Undergrad Derivative of the compound interest equation

  • ShawnD
  • · Replies 2 ·
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2

Graduate How Can I Fit Functions to Both Time and Pixel Number in a Matrix Animation?

  • elegysix
  • · Replies 2 ·
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2

High School What is True Range and how is it calculated in trading futures?

  • servant119b
  • · Replies 1 ·
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1

Arent quadratic functions supposed to be symmetrical?

  • Jayden1
  • · Replies 1 ·
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1

Finding f'(x) = 2x from f(x) = x^2 + 3x + 6 using limits

  • Jayden1
  • · Replies 12 ·
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12

How can I use all the data to solve this integral calculus problem?

  • wonglk9090
  • · Replies 5 ·
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5

High School Rational functions w/ common factors don't simplify?

  • TheTinCook
  • · Replies 14 ·
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14

Graduate Why is the Order of Contact 4 in This Expansion?

  • eclayj
  • · Replies 2 ·
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2

Graduate An integral about Bessel function

  • zluo
  • · Replies 1 ·
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1

Graduate Summing sines/cosines (Harmonic Addition Theorem)

  • omission9
  • · Replies 3 ·
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3

What Is h in Calculus Limits and Tangent Lines?

  • Jayden1
  • · Replies 17 ·
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17

Graduate Does the Integral of this Fourier Transform Converge?

  • MichealM
  • · Replies 4 ·
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4

Graduate Is [itex]x = - lo{g_2}(x)[/itex] a complex number

  • friend
  • · Replies 4 ·
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4

Graduate Directional Derivatives definition

  • icystrike
  • · Replies 10 ·
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10

High School Differentiating With respect To x

  • Bashyboy
  • · Replies 3 ·
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3

Taylor Series Expansion Explanation

  • Sudharaka
  • · Replies 3 ·
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3

Graduate Taylor series expansion of a power series.

  • Skrew
  • · Replies 2 ·
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2

Undergrad Proving the Convergence of the Sequence n^(1/n)

  • jav
  • · Replies 17 ·
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17

Graduate How to prove an inequality for a definite exponential integral

  • paola
  • · Replies 6 ·
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6

Graduate Where does the 1/r^(n+1) term come from in the Parabolic Mean Value Formula?

  • Kalidor
  • · Replies 2 ·
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2

Undergrad Derivative of f(X)^g(X) where both base and exponent are functions

  • verdverm
  • · Replies 5 ·
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5

Undergrad Derivative of Exponential Functions with Other Logs

  • V0ODO0CH1LD
  • · Replies 3 ·
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3

Undergrad Having trouvle with a quick limit provlem.

  • ozone
  • · Replies 7 ·
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7

Solving the integral of sin^(-3/2)(x)cos³(x)

  • MacLaddy1
  • · Replies 4 ·
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4

Graduate Is there a way to solve this convolution inequality?

  • amirmath
  • · Replies 1 ·
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1

Graduate Representing sum of delta functions as sum of exponentials

  • RobikShrestha
  • · Replies 3 ·
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3

Undergrad Is There Proof for the Chain Rule?

  • Yh Hoo
  • · Replies 8 ·
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8

Graduate A theorem about identically zero potential function

  • QuArK21343
  • · Replies 5 ·
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5

Undergrad Where can I find helpful resources for Calculus 1, 2, and 3?

  • QuarkCharmer
  • · Replies 3 ·
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3

Graduate Does every independent set spans the space necessarily form a basis?

  • LikeMath
  • · Replies 7 ·
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7

High School Is Finding a Common Denominator Necessary for Evaluating This Limit?

  • Lizwi
  • · Replies 6 ·
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6

Graduate Something weird with the fundamental theorem of calculus

  • AxiomOfChoice
  • · Replies 13 ·
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13

Functional Equation: Find f(2012)

  • juantheron
  • · Replies 2 ·
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2

Undergrad What does 'not every curve can be expressed as a function' mean?

  • yaya10
  • · Replies 4 ·
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4

Graduate Prove Continuous Function f at 1/√2

  • rachelro
  • · Replies 8 ·
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8

Graduate Why does converting ∫e^(-x²)dx from 0 to ∞ to polar coordinates give π/2?

  • maistral
  • · Replies 8 ·
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8

Undergrad Epsilon Delta Definition of Limit

  • HAL10000
  • · Replies 5 ·
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5

Undergrad Differentiation of integrals and integration(?)

  • ShayanJ
  • · Replies 2 ·
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2

Graduate Solve Impossible Integral: \int exp (-x^2) dx

  • Kawakaze
  • · Replies 7 ·
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7

Graduate Infinite Exponentation: Convergence Tests and More

  • Jakim
  • · Replies 1 ·
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1

Undergrad What are some techniques for 2-D interpolation and how do they work?

  • RH10
  • · Replies 4 ·
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4

Undergrad Integral - an alternative to expanding the denominator?

  • LikeMath
  • · Replies 7 ·
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7

Graduate Convergence of Circle Areas in a Boundary Defined by y=1/x and x=0, y=0

  • Randommelon
  • · Replies 11 ·
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11

Graduate Why partial derivatives need infinitesimal changes, not finite steps

  • Dorslek
  • · Replies 2 ·
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2

Graduate Solving for variable inside summations

  • sebasbri
  • · Replies 2 ·
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2

Graduate Analytic Functions: Is f(z) an Element of the Algebra of Polynominals?

  • timb00
  • · Replies 3 ·
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3

Undergrad How to integrate sqrt((ax+b)/x) dx (square root of linear fractional function)

  • Holali
  • · Replies 3 ·
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3

Undergrad How Can the Bernoulli Equation Be Reduced to a Linear Equation?

  • phion
  • · Replies 2 ·
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2

Undergrad Difference between double and surface integrals? Purpose of surface integrals?

  • cytochrome
  • · Replies 3 ·
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3

Graduate Spherical limits of integration for a region bounded by a cone and a praboloid

  • s18
  • · Replies 1 ·
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1

Undergrad Confusion about partial derivatives

  • Hassan2
  • · Replies 5 ·
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5

Graduate Circular coordinate space using an orthonormal basis

  • brydustin
  • · Replies 3 ·
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3

Graduate How Do You Differentiate a Functional Like F(φ(x))?

  • wumple
  • · Replies 3 ·
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3

Undergrad Derivatives of Exponentials (why e?)

  • V0ODO0CH1LD
  • · Replies 4 ·
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4

Undergrad Writing shear and moment equations for a simple beam in Mathcad

  • rtrux4
  • · Replies 1 ·
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1

Undergrad Are There Limitations to Using L'Hospital's Rule for Calculus Limits?

  • Zill1
  • · Replies 6 ·
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6

Integrating expressions with exponentials and secant substitution

  • Sudharaka
  • · Replies 2 ·
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2

Graduate How do I find the derivative of pentation?

  • Ramanujan
  • · Replies 1 ·
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1

Undergrad Series test for convergence or divergence

  • Duane
  • · Replies 2 ·
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2

Graduate Line integral in n dimension(Stokes' theorem)

  • youngurlee
  • · Replies 14 ·
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14

Graduate Total and directional derivatives:

  • iampaul
  • · Replies 7 ·
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7

Undergrad Can You Explain dF and Its Role in Calculating Force?

  • jd12345
  • · Replies 5 ·
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5

Graduate Fourier effect of time shift + convolution

  • azay
  • · Replies 1 ·
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1

Undergrad Understanding Infinite Limits: Clarifying the Definition and Misconceptions

  • Bashyboy
  • · Replies 3 ·
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3

Graduate Complete vs partial differentials with constraints and non-independent variables

  • raxAdaam
  • · Replies 3 ·
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3

Shell method for volume of y=1/x² revolved about y-axis

  • MacLaddy1
  • · Replies 3 ·
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3

Graduate Fourier Transform Tricky Integral

  • michaelbarret
  • · Replies 4 ·
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4

Undergrad Really couldn't catch the concept on epsilon and delta in limits

  • azizlwl
  • · Replies 1 ·
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1

Undergrad How to find/prove this two variable limit

  • ozone
  • · Replies 7 ·
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7

Undergrad How Can You Use Pascal's Triangle to Find the Binomial Series of (3+x)3?

  • Lizwi
  • · Replies 1 ·
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1

Graduate How Do You Evaluate Complex Contour Integrals with Sinusoidal Functions?

  • riemannian
  • · Replies 2 ·
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2

Undergrad The sequence 1/n not convergent?

  • xAxis
  • · Replies 8 ·
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8

Graduate Is the Substitution Rule Applicable to Complex Numbers?

  • pwsnafu
  • · Replies 3 ·
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3

Undergrad Is a circle still considered a surface?

  • HAL10000
  • · Replies 6 ·
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6

Undergrad Calc. 3 Determining whether points lie in a straight line

  • d.tran103
  • · Replies 8 ·
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8

Undergrad How would you take the limit of this?

  • 1MileCrash
  • · Replies 8 ·
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8

Graduate Using delta and epsilon to prove sets are open

  • rroy81
  • · Replies 18 ·
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18

Graduate How does addition work for Dedekind cuts without a largest element?

  • iceblits
  • · Replies 13 ·
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13

Undergrad Is the School Definition of a Tangent Line Always Accurate in Calculus?

  • Inhsdehkc
  • · Replies 5 ·
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5

Undergrad Why does directional derivative negate at 180° or 270°?

  • iampaul
  • · Replies 3 ·
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3

Graduate Asymptotic Expansion of an Integral

  • *FaerieLight*
  • · Replies 5 ·
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5

Volume of Solid of Revolution: Find Solution Here!

  • MacLaddy1
  • · Replies 4 ·
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4

Graduate Using integration to find the total change in angle between two tangent lines

  • JamesGold
  • · Replies 12 ·
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12

Graduate Does the Definite Integral Equal Zero for a Continuous Function?

  • mike1988
  • · Replies 6 ·
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6

Undergrad Finding d/dx Given d/dr and a Change of Variable

  • M. next
  • · Replies 4 ·
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4

Undergrad Calculating the length of a tangent curve

  • keeaga
  • · Replies 6 ·
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6

Undergrad Finding a solution to the equation x3^(2x+1)=9x

  • Mppl
  • · Replies 3 ·
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3

High School Why are we dividing by x in the solution for this limit problem?

  • rohan03
  • · Replies 3 ·
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3

Graduate Trigonometric Integration: Solving ∫ dx/√(1-k*sin2x)

  • msandeep92
  • · Replies 6 ·
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6

Graduate Binomial identities,combinatorial, equivalence

  • zmth
  • · Replies 1 ·
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1

Graduate What is the expression for the non-trivial sum of x^x from 0 to 1?

  • Jakim
  • · Replies 4 ·
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4

Undergrad Why does substituting u = t² in the Gaussian integral give zero?

  • Heresy42
  • · Replies 5 ·
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5