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

Integrating $\frac{x^2}{(1+x^2)^3}$ Over the Real Line

  • Fermat1
  • · Replies 3 ·
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3

Integrate the function f at the path that consists of the curves C1 and C2

  • mathmari
  • · Replies 2 ·
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2

Find Tangent Line to Curve (x+2y)^2+2x-y-3=0: Answer at Yahoo Answers

  • MarkFL
  • · Replies 1 ·
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1

Show that f(x,y) is differentiable

  • Jamie2
  • · Replies 2 ·
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2

Graduate Complexifying an Integral: How to Solve Tricky Integrals Using Complex Numbers

  • jellicorse
  • · Replies 2 ·
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2

Work of the vector field-Stokes' Theorem

  • mathmari
  • · Replies 4 ·
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4

How to Minimize the Integral of \(\int_0^{\pi/2} |\cos(x)-ax^2|\,dx\)?

  • Saitama
  • · Replies 10 ·
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10

Undergrad How does the quadratic formula derivation simplify?

  • sacred
  • · Replies 9 ·
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9

High School Extremely easy math, but need expression

  • Joel DB
  • · Replies 2 ·
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2

Undergrad Solving Dy/Dx = 3-x/y+4: Integral of Both Sides

  • KingCrimson
  • · Replies 8 ·
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8

What are the values of b for a minimum of x^2 + bx - 25?

  • Cmillburg
  • · Replies 2 ·
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2

Maximizing cylinder and box surface area with perimeter constraint

  • leprofece
  • · Replies 5 ·
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5

Antiderivative Question for ∫a^x dx: Is it a^x/ln a or a^x/ln|a|?

  • tmt1
  • · Replies 1 ·
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1

Further question on My Fractions problem

  • tmt1
  • · Replies 4 ·
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4

Apply the divergence theorem to calculate the flux of the vector field

  • mathmari
  • · Replies 2 ·
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2

How Do You Plot and Find Alternate Polar Coordinates?

  • shamieh
  • · Replies 1 ·
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1

What is the work done on a frustum?

  • Pindrought
  • · Replies 13 ·
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13

Solve Fractions Problem: Slope at (1,3)

  • tmt1
  • · Replies 2 ·
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2

Graduate Approximation for (X−ΔX/2)/(X+ΔX/2)≈1−ΔX/X

  • d.arbitman
  • · Replies 10 ·
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10

Constrained optimization problem

  • MarkFL
  • · Replies 1 ·
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1

Graduate Why does the series Taylor expand as e^-nx?

  • unscientific
  • · Replies 4 ·
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4

Graduate How Is the Second Derivative of an Inverse Function Calculated?

  • Jhenrique
  • · Replies 3 ·
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3

Undergrad Contour integration and Calc. of complex functions

  • lizzie96
  • · Replies 4 ·
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4

Graduate How to Calculate the Radii of Curvature for a 3D Flexible Chain?

  • chandan
  • · Replies 3 ·
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3

Undergrad How do you factor out dx in the arc length integral?

  • derek181
  • · Replies 3 ·
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3

High School Integration Limits: Is Upper Limit Always Greater Than Lower?

  • Miraj Kayastha
  • · Replies 3 ·
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3

Finding Concavity: What is the Value of t for a Concave Upward Curve?

  • shamieh
  • · Replies 2 ·
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2

Finding concavity when differentiating to dy/dx and d^2y/dx^2

  • shamieh
  • · Replies 1 ·
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1

Find inflection pt with constant K

  • karush
  • · Replies 2 ·
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2

Finding Partial Derivatives with Transformations

  • evinda
  • · Replies 3 ·
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3

Graduate Is There an Equivalent Expression to ∫ f·dr for Surface Integral?

  • Jhenrique
  • · Replies 4 ·
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4

Undergrad Limits of O(1/x) and O(x) as x approaches 0

  • Avichal
  • · Replies 1 ·
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1

Undergrad How to introduce a parameter for differentiation under the integral sign

  • Wolfxphysics12
  • · Replies 2 ·
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2

Real-world applications of improper integrals

  • matqkks
  • · Replies 1 ·
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1

Undergrad What are real-life applications of improper integrals?

  • matqkks
  • · Replies 1 ·
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1

Series Expansion: Show Sin^Cos x = x + O(x^3)

  • polygamma
  • · Replies 1 ·
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1
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3

Can This Infinite Series Be Summed?

  • anemone
  • · Replies 6 ·
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6
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1

Graduate Solve Diferential Equation: d2u/(dθ)^2+u=0 → u=cos(θ-θ0)

  • alpha25
  • · Replies 7 ·
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7

What Is the Optimal Size of a Cylinder in a Cone to Maximize Volume?

  • leprofece
  • · Replies 14 ·
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14

Undergrad Double Substitution Correct or Faulty?

  • Nano-Passion
  • · Replies 1 ·
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1

Finding the exact length of the curve (II)

  • shamieh
  • · Replies 6 ·
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6

Center of Gravity Calc: $\bar{y}$

  • Dustinsfl
  • · Replies 2 ·
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2

Graduate Mean ray length from apex to base of an oblique circular cone

  • erielb
  • · Replies 3 ·
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3

Sam m's question at Yahoo Answers regarding a solid of revolution

  • MarkFL
  • · Replies 1 ·
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1
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4

Find the exact length of the curve

  • shamieh
  • · Replies 3 ·
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3

Maximum volume of cylinder with length plus base perimeter equal to 60 cm

  • leprofece
  • · Replies 3 ·
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3

Undergrad Integral of a function of various variables

  • Jhenrique
  • · Replies 1 ·
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1
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7

Finding a function with area A below and 3A above it

  • Dustinsfl
  • · Replies 1 ·
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1

Partial Derivatives Problem Evaluating at (0,0)

  • Jamie2
  • · Replies 5 ·
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5

Limit of sqrt(x² + y² + 1) - 1 as (x,y) approaches (0,0)

  • Jamie2
  • · Replies 3 ·
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3

Graduate Area element, volume element and matrix

  • Jhenrique
  • · Replies 2 ·
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2

Kunal's question at Yahoo Answers regarding Lagrange multipliers

  • MarkFL
  • · Replies 1 ·
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1

Graduate Infinite series summation equal to i

  • mesa
  • · Replies 41 ·
2
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41

Maximum volume of a square beam cut from a truncated cone

  • leprofece
  • · Replies 4 ·
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4

Undergrad Green's theorem and area calculation

  • Jhenrique
  • · Replies 2 ·
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2

Graduate Finding the Gradient Vector for a Given Point on a Surface

  • reddawg
  • · Replies 3 ·
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3
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3

Why is F(x) = |x| - 1 in this fundamental theorem example?

  • evinda
  • · Replies 2 ·
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2

Find the corner cutout size for maximum box volume

  • Dustinsfl
  • · Replies 1 ·
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1

Surface Area of ball floating in water

  • Dustinsfl
  • · Replies 3 ·
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3

What geometric surface maximizes volume with minimum surface area?

  • Dustinsfl
  • · Replies 5 ·
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5

Graduate How Do Contour Integrals Apply to Green's Functions in Acoustic Wave Equations?

  • gysush
  • · Replies 1 ·
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1

Graduate The Integration-By-Parts Formula for Vector Products

  • Jhenrique
  • · Replies 2 ·
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2

Graduate Angular momentum operator squared in spherical coordinates

  • MisterX
  • · Replies 6 ·
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6

Graduate First order differential eqn dy/dx + Py = Qy^n

  • tony24810
  • · Replies 1 ·
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1
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1

Volume of a Pyramid: Find A(z) to Calculate V

  • Dustinsfl
  • · Replies 8 ·
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8

Trigonometric substitution in ∫x²/√(4-x²)dx

  • Pindrought
  • · Replies 3 ·
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3

Antiderivative involving Trig Identities.

  • shamieh
  • · Replies 5 ·
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5

Finding the Continuous Intervals for a function

  • cbarker1
  • · Replies 1 ·
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1
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6

Why is the chain rule fallacious?

  • ThePerfectHacker
  • · Replies 22 ·
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22

Is the Function f=tan(2x)/x Continuous at x=0?

  • cbarker1
  • · Replies 3 ·
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3

Graduate Fourier transform of the linear function

  • Irid
  • · Replies 3 ·
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3

Chain Rule in 2D Function Transformation

  • Julio1
  • · Replies 3 ·
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3

Why e is "natural", and why we use radians.

  • ThePerfectHacker
  • · Replies 15 ·
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15

Undergrad Difference between Force components using triangle rule and dotproduct

  • ehabmozart
  • · Replies 5 ·
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5

Graduate Curl of F = A*exp(-√(y²+z²)) x̂ doesn't rotate under YZ rotation

  • USeptim
  • · Replies 10 ·
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10

Area Under Curve: Finding the Missing Area

  • Yankel
  • · Replies 7 ·
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7

Graduate Can Infinite Sums Be Manipulated by Shifting Terms?

  • jackferry
  • · Replies 3 ·
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3

Synne's question at Yahoo Answers regarding the slope of an astroid

  • MarkFL
  • · Replies 20 ·
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20

Undergrad Why is there a differential in an indefinite integral?

  • Jow
  • · Replies 4 ·
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4
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4
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2

Confusing Implicit Differentiation Problem

  • tmt1
  • · Replies 3 ·
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3
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2

Minimize cost of half-spheres and cylinder with different material prices

  • leprofece
  • · Replies 7 ·
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7

Undergrad Proving e^x is equals its own derivative?

  • Cookies?
  • · Replies 15 ·
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15

MaleahP's question at Yahoo Answers regarding related rates

  • MarkFL
  • · Replies 1 ·
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1

Understanding Fraction Simplification

  • shamieh
  • · Replies 4 ·
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4

Derivative of 2^x - Is it 2^x ln(x) or ln(2)?

  • tmt1
  • · Replies 2 ·
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2

Integral of ln(x²-1)

  • Yankel
  • · Replies 7 ·
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7

Graduate What is a function, when you consider the partial/total derivative?

  • mXSCNT
  • · Replies 2 ·
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2

Integrable Function on $[0,1]$: Proving a Limit

  • Krizalid1
  • · Replies 4 ·
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4

Graduate Higher variations when δI and δ²I both equal zero

  • LagrangeEuler
  • · Replies 3 ·
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3

Graduate What does this special arrow symbol mean?

  • harveyab
  • · Replies 2 ·
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2