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

Graduate Can I compute this integral analytically?

  • pamparana
  • · Replies 9 ·
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9

Graduate Can Integration by Parts Reveal Series Properties in This Integral?

  • Husaaved
  • · Replies 3 ·
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3

Graduate Approximations for the WhittakerW functions

  • PrasadP
  • · Replies 2 ·
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2

Convergence of Improper Integral with Hyperbolic Functions?

  • DreamWeaver
  • · Replies 2 ·
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2

Sum of two inverse tangent functions

  • DreamWeaver
  • · Replies 2 ·
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2

High School How Do You Graph the Function f(x) = x - [[x]]?

  • brhum
  • · Replies 2 ·
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2

Undergrad Converting Series for Comparison Test

  • uzman1243
  • · Replies 1 ·
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1

Undergrad How to Derive Position Equations from Velocity in Calculus?

  • albertrichardf
  • · Replies 12 ·
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12

Undergrad What is the sum of infinite number of zeros?

  • athosanian
  • · Replies 13 ·
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13

Trig. Indefinite Integral

  • juantheron
  • · Replies 1 ·
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1

Undergrad Is 's' in Physics Notation Referring to Arc Length or Speed?

  • mill
  • · Replies 1 ·
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1

Graduate Integration by substitution: Can I treat this as constant

  • pamparana
  • · Replies 15 ·
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15

Is it possible to avoid using the complex logarithm?

  • aruwin
  • · Replies 3 ·
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3

High School What are the practical applications of symmetric equations?

  • mill
  • · Replies 5 ·
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5

Graduate Maximizing Summation of F_t*R: Partial Derivative w.r.t R

  • Patrick94
  • · Replies 1 ·
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1

Undergrad Area of a polygon- using numerical integration

  • atee
  • · Replies 2 ·
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2

Undergrad Need help finding the fourier transform of xe^-x

  • Megatron16
  • · Replies 5 ·
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5

Undergrad Scaling Vectors in Problems: What, When & Why?

  • mill
  • · Replies 10 ·
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10

Undergrad Is the Area Under a Curve Equal to its Arc Length?

  • Frank89RM
  • · Replies 8 ·
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8

Calculating Flux of Vector Field on a Spherical Surface

  • evinda
  • · Replies 12 ·
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12

Undergrad Understanding the Difference between Displacement and Distance in Kinematics

  • Vibhor
  • · Replies 1 ·
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1

How do I calculate and use the different formulas of Green's Theorem?

  • evinda
  • · Replies 6 ·
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6

Complex Integrals (for me at least)

  • filiphenrique
  • · Replies 5 ·
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5

Divergence Theorem: Applying to Sphere $\hat{i}x+\hat{j}y+\hat{k}z$

  • evinda
  • · Replies 4 ·
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4

How Does Air Pressure Change with Altitude?

  • stripedcat
  • · Replies 3 ·
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3

Apply the divergence theorem for the vector field F

  • mathmari
  • · Replies 3 ·
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3

Graduate Min/max of functions restricted to subsets of their domains

  • V0ODO0CH1LD
  • · Replies 1 ·
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1

Undergrad Horizontal Tangent in Parametric Equations: Finding & Understanding

  • mill
  • · Replies 3 ·
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3

Undergrad How Can I Integrate the Function ∫sin(x^3) dx?

  • Mathmanman
  • · Replies 9 ·
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9

Undergrad Intergration by parts for sin(x)cos(x)

  • uzman1243
  • · Replies 3 ·
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3

Undergrad Need integral help, i think its trig sub., thanks

  • klawlor419
  • · Replies 6 ·
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6

Comparing fractions with definite integrals

  • Saitama
  • · Replies 7 ·
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7

Proof that the integral is independent from the path from A to B

  • mathmari
  • · Replies 4 ·
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4

Find Distance of Object From Pole Given Angle/Ilumination on a Pole

  • leprofece
  • · Replies 1 ·
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1

Light Intensity: A & B, Distance D, Minimal Point?

  • leprofece
  • · Replies 1 ·
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1

Where is the Point of Minimal Combined Intensity Between Two Light Bulbs?

  • leprofece
  • · Replies 1 ·
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1

Undergrad Calculus problems for mathematics tournament

  • Mathmanman
  • · Replies 1 ·
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1

Graduate What Is the Fourier Transform of the Density Matrix of cos(x+y)*cos(x-y)?

  • kd6ac
  • · Replies 1 ·
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1

High School Using u substitution for integrating.

  • Mathmanman
  • · Replies 7 ·
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7

Show me how this equation is valid

  • oahz
  • · Replies 2 ·
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2

Graduate How Can You Integrate x/(a^2+x^2)^(3/2) Without Explicit Substitution?

  • abdo799
  • · Replies 9 ·
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9

Graduate Evaluating ∑ln(n)/n: Bounded Values & n\geq3

  • negation
  • · Replies 4 ·
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4

Graduate Area of a Square: Derivation & Integration

  • quantumlight
  • · Replies 2 ·
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2

Undergrad Maximum value of directional derivative (Duf)?

  • JC3187
  • · Replies 2 ·
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2
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12

Graduate Why Does a Complex Exponential Vanish at Infinity?

  • Waxterzz
  • · Replies 7 ·
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7

Graduate How to find minimum turning points

  • weetabixharry
  • · Replies 4 ·
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4

High School Confusion about a point and a line

  • anhnha
  • · Replies 3 ·
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3
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6

Graduate How Do You Solve This Complex Vector Integral?

  • hiyok
  • · Replies 5 ·
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5

Locating Points for Vector Field $F$: $F_x=0$, $F_y=0$, and $|F_x|=1$

  • paulmdrdo1
  • · Replies 1 ·
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1

Undergrad What is the symbol for the continuous product in mathematics?

  • Jhenrique
  • · Replies 1 ·
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1

Graduate Unraveling the Mystery of Directional Derivatives

  • cooev769
  • · Replies 1 ·
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1

Undergrad Differentiate formula for amount of charge on capacitor

  • Hassss
  • · Replies 3 ·
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3

Calculating Lever Length for Optimal Effort: 0.6 kg Bar & 200 kg Object

  • leprofece
  • · Replies 5 ·
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5

Solving a Logarithmic Curve: Tangent Lines & Approximations

  • fuzz95
  • · Replies 9 ·
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9

What Height Should a Lamp Be Above a Round Table for Maximum Edge Lighting?

  • leprofece
  • · Replies 1 ·
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1

Finding the Distance Between Buoys: A Cruise Ship Balcony Problem

  • mathdrama
  • · Replies 3 ·
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3

High School Don't understand rules of continuity/discontinuity with Limits

  • HadanIdea
  • · Replies 4 ·
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4

What is the meaning of instantaneous velocity and how is it defined?

  • Poirot1
  • · Replies 7 ·
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7

Graduate How Do You Apply the Multidimensional Chain Rule in Variable Transformations?

  • member 428835
  • · Replies 3 ·
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3

Finding Derivative of a Function

  • rcs1
  • · Replies 13 ·
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13

Undergrad How to integrate second order derivative

  • Vibhor
  • · Replies 4 ·
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4

Graduate Uncovering the Origins of Vector Analysis in Maxwell's Equations

  • cooev769
  • · Replies 6 ·
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6

Undergrad How do you integrate √(sinθ + 1)?

  • Kavorka
  • · Replies 3 ·
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3

Graduate Conditions for Laplace and its inverse transform to exist

  • anhnha
  • · Replies 8 ·
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8

Undergrad Find indefinite integral function, if definite integral value is know

  • jam_27
  • · Replies 3 ·
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3

Velocity & Horizontal Distance of Person on Water Slide

  • chunky
  • · Replies 3 ·
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3

Graduate Solution for Tricky Definite Integral: How to Find I in Terms of A"

  • jam_27
  • · Replies 9 ·
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9

Undergrad How do you know when to use substituion or integration by parts?

  • emlekarc
  • · Replies 5 ·
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5

Graduate Partial derivatives, change of variable

  • iAlexN
  • · Replies 6 ·
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6

Graduate Question about limit definition of partial derivative

  • PNutMargarine
  • · Replies 1 ·
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1

Integrating xarctg2x Using Integration by Parts

  • leprofece
  • · Replies 6 ·
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6

Maximizing Area of an Ellipse Passing Through a Fixed Point

  • leprofece
  • · Replies 3 ·
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3

How long is the tangent that intercepts between the coordinate axes?

  • leprofece
  • · Replies 8 ·
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8

Finding for X given half-angle formulas

  • bsmithysmith
  • · Replies 3 ·
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3

Graduate Question about the definition of df

  • saminator910
  • · Replies 3 ·
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3

Graduate Can a vector field be represented as a surface in a vector space?

  • JanEnClaesen
  • · Replies 2 ·
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2

Find the limit of a sequence II

  • lfdahl
  • · Replies 4 ·
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4

Graduate Space of matrices with non-zero determinant

  • brunob
  • · Replies 7 ·
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7

Graduate Function over matrices, continuous and differentiable?

  • brunob
  • · Replies 10 ·
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10

How to Evaluate the Integral of an Invertible Function with Given Symmetry?

  • juantheron
  • · Replies 1 ·
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1

Undergrad Why is the infinite series 1 - 1 + 1 - 1 + 1 - 1... considered divergent?

  • eprparadox
  • · Replies 5 ·
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5

Can You Prove the Inequality Challenge VI for Arctan Sequences?

  • anemone
  • · Replies 2 ·
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2

Undergrad Using trig substitution or partial fractions?

  • JessicaJ283782
  • · Replies 1 ·
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1

High School What are the best resources for AP-level calculus practice problems?

  • AlfredPyo
  • · Replies 2 ·
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2

Graduate Partial derivative with respect to a vector

  • TheOldHag
  • · Replies 1 ·
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1

Graduate What are the different forms of Fourier notation and how are they connected?

  • Jhenrique
  • · Replies 1 ·
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1

Undergrad Trying to understand concepts in calculus

  • switz5678
  • · Replies 3 ·
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3

Evaluate Definite Integral $(x-3)^2$ and $(x+4)^2$

  • juantheron
  • · Replies 3 ·
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3

Domain of f(x,y): Open or Closed?

  • Yankel
  • · Replies 1 ·
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1

Undergrad Trigonometric integrals; choosing which one to break up?

  • JessicaJ283782
  • · Replies 4 ·
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4

Solve Homogeneous Function f(x,y) w/ Euler's Rule

  • Yankel
  • · Replies 4 ·
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4

Graduate Double integral with a circle connecting the two

  • kevinnn
  • · Replies 9 ·
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9

Maximum area of triangle and quadrilateral - given perimeter

  • Saitama
  • · Replies 6 ·
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6

Evaluation of definite Integral

  • juantheron
  • · Replies 4 ·
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4

Rocketeer to the rescue: kinematics

  • leprofece
  • · Replies 4 ·
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4
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4

Est instantaneous acceleration of the car at t=20

  • karush
  • · Replies 12 ·
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12

Graduate How to simplify this summation to an incomplete gamma function

  • PureStorm
  • · Replies 2 ·
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2