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.

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5

Undergrad Calculating Hydrostatic Force on a Trapezoidal Shape

  • Obliv
  • · Replies 5 ·
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Graduate What Comes After Vector Calculus in Pure Calculus?

  • inversquare
  • · Replies 21 ·
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Undergrad How to cancel factorials in power series problems?

  • shanepitts
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Graduate How is the Fundamental Theorem of Calculus Applied to Multivariable Functions?

  • CSteiner
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Graduate Analytic continuation and physics

  • kochanskij
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Undergrad Calc I: Limits at Infinity: Solving r Irrational

  • PFuser1232
  • · Replies 4 ·
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Undergrad How to determine inner and outer radii for 'Washer Method'?

  • emergentecon
  • · Replies 7 ·
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Graduate Why is A(r) called a normalizing amplitude function in periodic potentials?

  • LagrangeEuler
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Undergrad What's Wrong with My Integration by Parts?

  • QuickQThrowaway
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Graduate Difference between continuity and uniform continuity

  • Yunjia
  • · Replies 12 ·
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Undergrad I found a really weird function

  • Chuckstabler
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Undergrad Convergence or Divergence of Factorial Series

  • Christian M.
  • · Replies 6 ·
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6

Graduate Is it possible to re-write this expression?

  • Xyius
  • · Replies 1 ·
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Graduate Laplacian in complex variables and the Cauchy-Riemann equations

  • smart_worker
  • · Replies 5 ·
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Undergrad Can the Integral of an Area Equation Solve for Volume?

  • Bendelson
  • · Replies 6 ·
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6

High School Mathematica and Infinite Series Convergence Tests

  • zk3381
  • · Replies 2 ·
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Integrating $\cos(mx)$ with Two Variables

  • thereidisanceman
  • · Replies 1 ·
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1

Solving Limit of Question with Given Solution -3/2

  • seal308
  • · Replies 7 ·
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7

Graduate Positive integral for two functions

  • ChrisVer
  • · Replies 4 ·
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4

Partial derivatives of the natural logs

  • claratanone
  • · Replies 1 ·
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1

Graduate Are These Triple Integrals Set Up Correctly?

  • Sociomath
  • · Replies 3 ·
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3

Graduate Standard notation for "open integral"

  • qu_bio
  • · Replies 3 ·
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Graduate How does rearranging the integral equation give f(x)Δx?

  • Muthumanimaran
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Graduate Evaluating ∫xp e-x2 eix dx from -∞ to ∞

  • Ananthan9470
  • · Replies 4 ·
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Graduate How to compute the surface height based on normal vectors

  • dilloncyh
  • · Replies 1 ·
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Undergrad What is the Correct Integral of Inverse Cosecant?

  • Euler2718
  • · Replies 8 ·
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8
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Integrating (triple) over spherical coordinates

  • MorallyObtuse
  • · Replies 2 ·
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Limit of (3/4)^(n+1) as n approaches infinity

  • seal308
  • · Replies 8 ·
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Graduate How do you evaluate a functional derivative with an exponential?

  • aaaa202
  • · Replies 1 ·
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Undergrad Triple integral for bounded regions

  • Sociomath
  • · Replies 2 ·
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2

How Can I Find the Integral of Arcsec(x)dx Using IBP?

  • pmg991818
  • · Replies 10 ·
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10

Graduate How can I solve this tricky integral in my differential equation?

  • VanHa
  • · Replies 5 ·
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5

Undergrad Converting a limit to integral form or vice-versa

  • Raghav Gupta
  • · Replies 15 ·
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15

Taylor expansion of second order

  • mathmari
  • · Replies 1 ·
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1

Undergrad What is done in the second line of the product rule proof?

  • Muthumanimaran
  • · Replies 4 ·
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4

How to Convert Polar to Rectangular Coordinates in Calculus?

  • karush
  • · Replies 2 ·
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2

Improper integral convergence/divergence

  • brunette15
  • · Replies 5 ·
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5

Graduate Integrating (1 + x²)/((1 - x²)√(1 + x⁴))

  • basty
  • · Replies 4 ·
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Evaluating Improper Integrals: Convergence or Divergence?

  • brunette15
  • · Replies 3 ·
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Graduate Divergence Theorem Question (Gauss' Law?)

  • vector013
  • · Replies 5 ·
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Undergrad What Is the Term for the Slope Transition Point in Calculus?

  • msell2
  • · Replies 2 ·
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2

Insights Constructing a continuous nowhere differentiable function

  • jbunniii
  • · Replies 12 ·
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12

Undergrad Increasing speed, distance, and time.

  • Mantikore
  • · Replies 1 ·
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Finding two points in a set where the line segment between them exits

  • reefster98
  • · Replies 2 ·
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Graduate Error estimate for integral of interpolated function

  • maka89
  • · Replies 2 ·
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Undergrad Eliminate Parameter with Sin and Cos

  • Mikeylikesit182
  • · Replies 8 ·
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Graduate Functional derivative of normal function

  • ChrisPhys
  • · Replies 6 ·
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6

Limit of (n)^(1/n)/n as n approaches infinity

  • Dethrone
  • · Replies 4 ·
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4

Integrate $\ln(t^2)/t$ with Substitution

  • karush
  • · Replies 5 ·
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5

Undergrad How to integrate 1/(1-A*cosx)^3?

  • Arash.
  • · Replies 8 ·
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8

Undergrad Extracting a constant variable from integral

  • shanepitts
  • · Replies 2 ·
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Graduate Why Does My Integral Calculation Differ from the Expected Result?

  • J_M_R
  • · Replies 2 ·
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Why take derivatives in this force systems problem

  • Drain Brain
  • · Replies 4 ·
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4

Undergrad Why Does a Constant Appear Only on One Side in This Differential Equation?

  • Marcis Rancans
  • · Replies 9 ·
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9

How to Use Gauss Chebyshev Formula for Approximating Integrals with n=3?

  • jiasyuen
  • · Replies 2 ·
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Graduate Physical insight into integrating a product of two functions

  • Buddhapus17
  • · Replies 3 ·
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3

Undergrad Does integration give area between graph and x axis?

  • CAH
  • · Replies 4 ·
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4

Integration by parts help with parts B and C

  • reefster98
  • · Replies 1 ·
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1

Minimize ellipsoid volume through a point using Lagrange multipliers

  • Dethrone
  • · Replies 1 ·
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1

Graduate Calculus of Variations: Δ-Variation vs. δ- Variation

  • Snoopy'
  • · Replies 1 ·
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1
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7

How to Prove Limit 2^n/n! Using Epsilon Delta?

  • Dethrone
  • · Replies 4 ·
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4

Undergrad How Do You Determine if a Series Converges Absolutely or Conditionally?

  • sun1234
  • · Replies 5 ·
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5

Why is the summation in the first part from k=0 to n-1?

  • VikramAhuja
  • · Replies 12 ·
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12

Finding the intersection points on the graph y=sinx, y=cosx and y=tanx

  • Alexander1
  • · Replies 4 ·
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4

How Far Does a Bouncing Ball Travel Before Stopping?

  • Starkiller2301
  • · Replies 2 ·
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2

Triple Integral Bounded by Planes

  • erin
  • · Replies 3 ·
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3

Solving: Finding $\frac{dT}{dt}$ for a Swimming Duck

  • mathmari
  • · Replies 8 ·
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8

Lower and upper sums for integral from 1 to 7

  • reefster98
  • · Replies 2 ·
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2

High School Are there rules for sqrt(x+y) or sqrt(x-y)?

  • Emmanuel_Euler
  • · Replies 9 ·
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9

Graduate Multinomial Expansion: Solve (Σ^m_i x(i) Σ^i_j x(i,j))^n

  • nikozm
  • · Replies 3 ·
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3

What is the directional derivative of F at point P(1,2,1) with given direction?

  • Drain Brain
  • · Replies 8 ·
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8

Undergrad Is differentiation a possible approach?

  • wirefree
  • · Replies 4 ·
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4

Implicit Functions: How Can Derivatives Be Calculated?

  • mathmari
  • · Replies 2 ·
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2

Undergrad Is there a constant that is not a constant?

  • Shahid Manzar
  • · Replies 7 ·
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7

Finding the Sum of a Tricky Series

  • Pull and Twist
  • · Replies 4 ·
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4

High School Why does sin(θ) = sin(180° - θ) for angles less than 90°?

  • LogarithmLuke
  • · Replies 14 ·
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14

Deriving a Vector Expression from Given Direction

  • Drain Brain
  • · Replies 3 ·
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3

Graduate Deriving E(ave)=kT: Is it Correct?

  • resurgance2001
  • · Replies 2 ·
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2

Solving for the components of a force at a given angle on a plane.

  • mathmari
  • · Replies 5 ·
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5

Undergrad What Do Different Types of Integrals Represent in Calculus?

  • uzman1243
  • · Replies 2 ·
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2

Undergrad Question about derivative of an integral

  • Mr Davis 97
  • · Replies 7 ·
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7

Graduate How is Math Applied in Quantum Physics through Standard Normal Distribution?

  • TimeRip496
  • · Replies 2 ·
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2

Graduate Continuity at a point implies continuity in the neighborhood

  • Happiness
  • · Replies 46 ·
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46

Graduate Computing an integral -- any method

  • Karthiksrao
  • · Replies 4 ·
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4

Floor Function and Tangent function

  • anemone
  • · Replies 1 ·
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1

Unit vector along A = 2a_ρ - za_z in cylindrical coordinates

  • Drain Brain
  • · Replies 5 ·
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5

What is the value of the double integral?

  • erin
  • · Replies 8 ·
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8

Undergrad How can I check my solution in optimization problems?

  • Emmanuel_Euler
  • · Replies 4 ·
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Undergrad Why does the calculus book use Δ by itself in (ln(x+Δ)-lnx)/Δ?

  • lonely_nucleus
  • · Replies 10 ·
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10

Solve Int. xe^xlnx Difficult Integral

  • Maged Saeed
  • · Replies 1 ·
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1

Integration by Parts with Domain Warning

  • karush
  • · Replies 5 ·
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5

Graduate Refesher Part Duex - Rectangular -> Cylindrical -> Spherical

  • beer
  • · Replies 1 ·
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1

Undergrad What is the integral of e^-(x/2) * sin(a*x) dx?

  • Emmanuel_Euler
  • · Replies 2 ·
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2

Undergrad The first fundamental theorem of calculus

  • Mr Davis 97
  • · Replies 2 ·
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2

Graduate How to evaluate the gamma function for non-integers

  • David Carroll
  • · Replies 17 ·
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17

Graduate Integration and special functions.

  • Emmanuel_Euler
  • · Replies 4 ·
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The Calculating $\cos\left({\sin^{-1}\left({2/3}\right)}\right)$

  • karush
  • · Replies 4 ·
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4