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

Integration Sign Error: TI-Nspire Solution

  • karush
  • · Replies 3 ·
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3

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