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

Maximizing area with two fence types and $6000 budget

  • Yankel
  • · Replies 4 ·
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4

What are left and right limits?

  • Poly1
  • · Replies 6 ·
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6

Graduate Integration by Parts versus the Power Rule

  • Mandelbroth
  • · Replies 2 ·
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2

Graduate What does the notation δL/δλ mean for a Lagrangian with parameter λ?

  • atomqwerty
  • · Replies 1 ·
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1

Proving the Limit of a Sequence with Toeplitz's Theorem

  • Fernando Revilla
  • · Replies 2 ·
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2

Graduate Solving an ODE using substitution and integrating factor

  • Mangoes
  • · Replies 1 ·
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1

Undergrad Understanding the area under a curv and trapizum rule

  • Taylor_1989
  • · Replies 11 ·
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11

Graduate Finding the length of the major and minor axis of ellipse.

  • yungman
  • · Replies 5 ·
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5

Integrate by Parts: Solving Difficult Integrand

  • cbarker1
  • · Replies 3 ·
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3

Undergrad Gradient vector as Normal vector

  • hotcommodity
  • · Replies 11 ·
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11

Solving Improper Integral Challenge Problem

  • polygamma
  • · Replies 5 ·
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5

When does the improper integral ∫₀^∞ x^α/(1+x^β sin²(x)) dx converge?

  • Also sprach Zarathustra
  • · Replies 2 ·
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2

Integral Calculator: $$\int_a^b\frac{dx}{\sqrt{(x-a)(b-x)}}$$

  • Also sprach Zarathustra
  • · Replies 6 ·
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6

Undergrad Why Does the Taylor Series of exp(-x^2) at x = 0 Start with 1 - x^2?

  • cytochrome
  • · Replies 5 ·
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5

Undergrad Is the Cross Product Valid in Higher Dimensions?

  • doctorjuice
  • · Replies 9 ·
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9

Integral using integration by parts

  • sbhatnagar
  • · Replies 4 ·
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4

Does 2ln(n)/√(n+1) form a monotonically decreasing sequence?

  • Lisa91
  • · Replies 8 ·
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8

Undergrad What Does the |x=0 = dy dz Mean in the Physical Interpretation of Divergence?

  • Summer2442
  • · Replies 5 ·
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5

Undergrad Derivative of cosh x: Clarifying Confusion

  • Michael_Light
  • · Replies 4 ·
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4

Convergence of Series with Complex Numbers

  • Lisa91
  • · Replies 11 ·
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11

Solving Limit Problem: n→∞, n!-1/n³ln(n!)

  • Lisa91
  • · Replies 2 ·
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2

Undergrad Really understanding how to apply calculus.

  • IronPlate
  • · Replies 1 ·
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1

Undergrad Integrating 1/x: From Undefined to Natural Logs

  • DiracPool
  • · Replies 7 ·
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7

Proving the Limit of Cosine Squared: $\mathbb{Q}$ vs. Non-$\mathbb{Q}$

  • Lisa91
  • · Replies 4 ·
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4

High School How to calculate length of arc?

  • BrandonDouglas
  • · Replies 3 ·
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3

Proving an inequality with integral of logarithm

  • Integration1
  • · Replies 2 ·
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2

Undergrad Advanced Integration-Tabular Method

  • BurgooKing
  • · Replies 2 ·
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2

Graduate Multivariable function notations

  • medwatt
  • · Replies 3 ·
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3

High School What is the difference between global and local maxima and minima?

  • dev70
  • · Replies 5 ·
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5

Derivative dot product cross product

  • Dustinsfl
  • · Replies 7 ·
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7

Undergrad How to Convert Taylor Expansion to Summation Notation and Vice Versa?

  • Vola
  • · Replies 8 ·
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8

Graduate How to Rewrite \sum_{i=1}^{n} |(y_i-\theta)|=n\theta in Closed Form?

  • member 428835
  • · Replies 2 ·
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2

Undergrad What is the Integral of a Volume?

  • BrianJester
  • · Replies 3 ·
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3

Undergrad Why is grad(x+y+z) nonzero when the function equals zero?

  • HAMJOOP
  • · Replies 4 ·
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4

Which is greater: $e^{\pi}$ or $\pi^{e}$?

  • Poly1
  • · Replies 2 ·
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2

Newton's method to approximate integrals?

  • Poly1
  • · Replies 3 ·
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3

Undergrad Taylor Expansion of Natural Logarithm

  • golanor
  • · Replies 24 ·
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24

Proving inequalities using calculus

  • Poly1
  • · Replies 15 ·
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15

Undergrad Aren't indeterminant forms misleading?

  • tahayassen
  • · Replies 13 ·
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13

Graduate Does x ≤ ky Imply x < y for k < 1 in Mathematical Analysis?

  • tragicmuffin
  • · Replies 5 ·
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5

Undergrad 4 parameter logistics - GraphPad

  • Hemispasm
  • · Replies 9 ·
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9

Undergrad Maximise perimeter of triangle in a circle

  • twinkle21
  • · Replies 1 ·
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1

Undergrad Why the Taylor Series has a Factorial Factor

  • matematikuvol
  • · Replies 7 ·
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7

Undergrad Math methods in physics book - vector calc proof

  • galactic
  • · Replies 2 ·
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2

Graduate Problem understanding the differential form of the circulation law

  • havarija
  • · Replies 4 ·
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4

Undergrad Why are finding slope and finding area inverse processes?

  • kartoshka
  • · Replies 11 ·
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11

Undergrad How Do You Determine Partition Points Using the Composite Trapezoidal Rule?

  • Hiche
  • · Replies 1 ·
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1

Method of dominant balance

  • Poirot1
  • · Replies 1 ·
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1

Undergrad How Can I Determine the Minimum Volume of a Cube Given the Surface Area?

  • member 392791
  • · Replies 8 ·
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8

Undergrad Which series can be truncated?

  • HomogenousCow
  • · Replies 4 ·
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4

Undergrad How can I determine the direction of parametrization for a curve?

  • cytochrome
  • · Replies 4 ·
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4

For those familiar with the WKB method

  • Poirot1
  • · Replies 2 ·
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2

High School What Is a Permutation and Can You Provide an Example?

  • loserone+_+
  • · Replies 5 ·
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5

Undergrad Why subtract when evaluating definite integrals from antiderivatives

  • tahayassen
  • · Replies 12 ·
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12

Undergrad Why is the derivative of e^(2x) equal to 2e^(2x)?

  • gokuls
  • · Replies 8 ·
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8

Graduate Differential Geometry Relations, relating to plasma physics.

  • Alexjcb
  • · Replies 1 ·
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1

High School Why are sinh and cosh named after sinusoidal functions?

  • tahayassen
  • · Replies 11 ·
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11

Ship problem,related time change

  • wolfsprint
  • · Replies 2 ·
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2

Graduate Understanding Notation and Connections of Hypergeometric Functions

  • matematikuvol
  • · Replies 10 ·
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10

Volume of a Roof: Find Attic and Surface Area

  • Poly1
  • · Replies 4 ·
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4

Undergrad Paritial derivative of function of dependent variables

  • ato
  • · Replies 25 ·
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25

Undergrad How to determine volume from a picture?

  • skrat
  • · Replies 7 ·
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7
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8

Can the Volume of a Sphere be Calculated Using its Surface Area and Radius?

  • wolfsprint
  • · Replies 11 ·
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11

Graduate How Does Changing to Polar Coordinates Simplify This Physics Integral?

  • VantagePoint72
  • · Replies 9 ·
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9

Graduate Continuum Mechanics - Deformation gradient

  • tricha122
  • · Replies 4 ·
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4

How Does the Volume Change as Dimensions of a Square-Based Box Alter?

  • wolfsprint
  • · Replies 8 ·
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8

Solving Problems Involving Differentiability of a Function

  • Yankel
  • · Replies 6 ·
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6

Finding maximum profit when demand is x = 1000 - p

  • Yankel
  • · Replies 6 ·
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6

Graduate Calculate double integral of the intersection of the ellipse and circle

  • zs96742
  • · Replies 5 ·
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5

How is the Gradient of u(r,θ) Calculated?

  • Dustinsfl
  • · Replies 2 ·
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2

Undergrad Integrating complex exponentials with Infinite limits

  • Ribena
  • · Replies 1 ·
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1

Graduate Differentiating and Integrating the Lambert W function

  • pierce15
  • · Replies 9 ·
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9

Graduate Very Basic Vector Calculus Question - dx,dy,dz and i,j,k

  • zooxanthellae
  • · Replies 5 ·
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5

Looking for a Free Domain Coloring Grapher?

  • pierce15
  • · Replies 1 ·
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1

Chain Rule and 'The Mob'....Pretty darn good explanation

  • PhysicsRus
  • · Replies 1 ·
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1

Graduate What does order mean for a generated ideal (b₁, b₂, ..., bₖ)?

  • Artusartos
  • · Replies 2 ·
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2

Graduate Happy New Year: Infinite Sum Question Explanation

  • matematikuvol
  • · Replies 4 ·
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4

Graduate Derivation of the Antiderivative of the Gaussian Distribution

  • Mandelbroth
  • · Replies 5 ·
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5

Undergrad Difference Between Surface Integrals and Surface area using double integrals .

  • shenjie
  • · Replies 2 ·
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2

Graduate Zero curl but nonzero circulation

  • MHD93
  • · Replies 1 ·
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1

Graduate Is a Mac donald function really a Bessel function

  • zetafunction
  • · Replies 2 ·
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2

Graduate Integration of Modular Arithmetic Functions

  • Igora
  • · Replies 4 ·
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4

Graduate Imaginary components of real integrals

  • cesiumfrog
  • · Replies 3 ·
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3

Graduate Commutative property of partial derivatives

  • yayyyymath
  • · Replies 8 ·
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8

Solving Limit: x^2->∞, Why is Limit -1?

  • Yankel
  • · Replies 3 ·
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3

Max dimensions of box template

  • karush
  • · Replies 15 ·
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15

Graduate How do I use Green's theorem with holes?

  • Vorde
  • · Replies 3 ·
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3

Graduate Legendre equation , the Bessel equation and Sturm Liouville equation

  • mano0or
  • · Replies 4 ·
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4

Proving Definite Integral: \(\ln x/\sqrt{x(1-x^2)}\)

  • sbhatnagar
  • · Replies 2 ·
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2

Calculating partial derivatives in different coordinate systems

  • oblixps
  • · Replies 2 ·
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2

Undergrad Integral through a path in 2D (or ND) What's the usual definition ?

  • Swimmingly!
  • · Replies 3 ·
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3

Undergrad Two questions about cycles (algebra)

  • Artusartos
  • · Replies 3 ·
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3

Graduate Change of variable in integral of product of exponential and gaussian functions

  • galuoises
  • · Replies 3 ·
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3

Undergrad Gradient theorem, why F=-grad(U) ?

  • amiras
  • · Replies 4 ·
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4

Undergrad Deriving tangent plane equation - assuming 'c' is non-zero

  • autodidude
  • · Replies 10 ·
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10

Undergrad What are the limits for the integral of sin(x) * sin(x^2)?

  • LordVader88
  • · Replies 2 ·
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2

Undergrad Projectile Motion in 3D space (Writing an Aimbot)

  • wolfknight
  • · Replies 3 ·
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3

Undergrad Why does the chain rule give dr/dt in related rates problems?

  • Astrum
  • · Replies 7 ·
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7

Graduate Why does the ring homomorphism proof introduce f(x) when the theorem doesn't mention it?

  • Artusartos
  • · Replies 1 ·
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1