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

Undergrad Can a Function in Polar Coordinates Fail in Cartesian Coordinates?

  • Undoubtedly0
  • · Replies 2 ·
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2

Graduate Source for calculating Incomplete Elliptical Integrals

  • bugatti79
  • · Replies 2 ·
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2

Undergrad Is there a way of approximating e^-x for large x

  • Chain
  • · Replies 7 ·
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7
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3

Undergrad Can volume of a rotated function be calculated using definite integrals?

  • Vodkacannon
  • · Replies 2 ·
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2

Undergrad Deeper understanding of the gradient and directional derivative

  • autodidude
  • · Replies 6 ·
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6

Graduate Surface and Volume Integrals - Limits of Integration

  • Bruce Dawk
  • · Replies 2 ·
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2

Graduate Why Can't We Calculate Sphere Surface Area with Infinitesimal Cylinders?

  • sahil_time
  • · Replies 8 ·
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8

Undergrad Segment of a circle calculation

  • bergie7isu
  • · Replies 7 ·
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7

Graduate If F(x,y)=<M(x,y),N(x,y)> is a vector field on the plane?

  • sarahkelly
  • · Replies 2 ·
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2

Are Corners Inflection Points on a Graph?

  • karush
  • · Replies 1 ·
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1

Is there a way to compute the given area exactly?

  • MarkFL
  • · Replies 1 ·
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1

Undergrad Doing algebra on infenetesimal amounts

  • Nikitin
  • · Replies 1 ·
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1

Graduate Jacobian determinant for reciprocal transformation in three variables

  • Boorglar
  • · Replies 3 ·
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3

Rayanjafar's parametric integral question for YAnswers

  • CaptainBlack
  • · Replies 1 ·
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1

Graduate Does the Lambert Function Apply to Solving This Economic Model?

  • Sammuueel
  • · Replies 3 ·
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3

Graduate Minimizing a functional definite integral

  • james4321
  • · Replies 1 ·
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1

How can I prove the continuity of $f$ at $x = 1$?

  • Dustinsfl
  • · Replies 3 ·
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3

Graduate Least squares adjustment/regression - two points known distance apart

  • gge
  • · Replies 4 ·
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4

Graduate Advanced Lagrange Maxima Minima Problems

  • LiveLowGrow
  • · Replies 7 ·
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7

Undergrad How f(x,y) = (a-bx)² - (c-dy)² changes with x-y

  • Essa1987
  • · Replies 2 ·
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2

High School Can You Solve These Unique Algebraic Equations?

  • naoufelabs
  • · Replies 7 ·
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7

Undergrad Is ∫-1/√(1-x^2) equal to acos(x) and -1*asin(x)?

  • Nikitin
  • · Replies 4 ·
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4

Using Lagrange's Theorem to Show 1.71<\sqrt{3}<1.75

  • Yankel
  • · Replies 3 ·
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3

Graduate Vector Calculus Problem - Griffith Textbook

  • Bruce Dawk
  • · Replies 3 ·
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3

Undergrad Are Integration and Differentiation True Opposites in Calculus?

  • Swetasuria
  • · Replies 8 ·
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8

Graduate Modeling Wave Dynamics in a Cylinder on a Fulcrum

  • JPBenowitz
  • · Replies 4 ·
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4

Graduate Do Bessel functions with complex index or argument have special names?

  • zetafunction
  • · Replies 1 ·
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1

Graduate Need explanation of theorems on Uniform continuity

  • VreemdeGozer
  • · Replies 2 ·
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2

Undergrad What is the argument function in complex numbers?

  • wahaj
  • · Replies 11 ·
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11

Solving x^{101}+x^{83}+x=1 with Rolle's Theorem

  • Yankel
  • · Replies 2 ·
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2

Why doesn't the series sum equal −π²/12?

  • Dustinsfl
  • · Replies 1 ·
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1

Undergrad Derivative and integral (confusing part)

  • daivinhtran
  • · Replies 6 ·
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6

Undergrad How do i find the principal form of this complex number

  • iampaul
  • · Replies 5 ·
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5

How would you show this summation is greater than 24 without induction?

  • MarkFL
  • · Replies 3 ·
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3

Undergrad Which Functions Have Multiple Local Minima?

  • Old Monk
  • · Replies 1 ·
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1

Why Does Substitution Change the Integral's Bounds?

  • karush
  • · Replies 6 ·
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6

Graduate Diagonalization of Integral Operators: Challenges and Considerations

  • the_kid
  • · Replies 3 ·
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3

How can we avoid making simple typos in math problems?

  • karush
  • · Replies 20 ·
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20

Area Under Curve: Calculate Integral from 0 to 1

  • karush
  • · Replies 5 ·
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5

Graduate Substituting an infinite sum into a PDE for heat equation in polar coordinates

  • Tenenbaum3r
  • · Replies 2 ·
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2

Graduate What is the significance of compactness?

  • pob1212
  • · Replies 5 ·
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5

Undergrad How Do You Find the Roots of b - tan(b) = 0 Using Iterative Methods?

  • rsaad
  • · Replies 3 ·
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3

Undergrad Understanding horizontal asymptotes of non-even rational functions

  • lordofpi
  • · Replies 6 ·
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6

Why does the factor 1/2 appear when integrating x·5^(-x²)?

  • karush
  • · Replies 4 ·
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4

Substituting back after trigonometric substitution with sin(2θ)

  • skate_nerd
  • · Replies 2 ·
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2

Graduate Confusion regarding differential forms and tangent space (Spivak,Calc. on Manifolds)

  • madshiver
  • · Replies 8 ·
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8

Graduate How to Solve This Irregular Integral?

  • mmzaj
  • · Replies 5 ·
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5

Graduate Can Gaussian integrals be done with half integrals?

  • cragar
  • · Replies 3 ·
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3

Undergrad What do square brackets mean in ∇φ[r(t)]?

  • Kushwoho44
  • · Replies 2 ·
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2

Equation of a line tangent to a circle

  • Armela
  • · Replies 3 ·
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3

Graduate Finding Numerically the solution line for an equation

  • LayMuon
  • · Replies 13 ·
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13

Graduate Domain Differentiation question

  • Bachelier
  • · Replies 2 ·
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2

Undergrad Understanding Divergence and Curl in Fluid Dynamics

  • mikeanndy
  • · Replies 3 ·
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3

Graduate A discrete subset of a metric space is open and closed

  • pob1212
  • · Replies 12 ·
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12

Graduate What Does Integrating a Complex Function Yield?

  • pierce15
  • · Replies 7 ·
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7

Graduate Kuhn-Tucker conditions for maximizing with inequality constraints

  • Rabolisk
  • · Replies 1 ·
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1

Undergrad Order of Indefinite Double Integrals

  • Kushwoho44
  • · Replies 3 ·
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3

Graduate Why do z and z² give the same flux through a sphere of radius a?

  • Conaissance99
  • · Replies 4 ·
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4

Graduate Approximating the prime counting function π(x)

  • tanus5
  • · Replies 3 ·
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3

Undergrad Given 2 Integrals, How to solve other Integrals?

  • jeckel7234
  • · Replies 2 ·
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2

Graduate Understanding Point Types in Real Analysis

  • STEMucator
  • · Replies 2 ·
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2

Undergrad Two-part problem; calculating possibilities of lock

  • davidbdix
  • · Replies 3 ·
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3

Graduate Biot-Savart - Differential Length Element?

  • nickypoo
  • · Replies 3 ·
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3

Undergrad What is the Parametric Differentiation Method for Repeated Quotient Rule?

  • Skyler0114
  • · Replies 3 ·
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3

Graduate Modifying taylor series of e^x

  • pierce15
  • · Replies 9 ·
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9

Graduate Similar problem to Gaussian integral

  • pierce15
  • · Replies 7 ·
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7

High School Evaluating the sum of a sigma notation problem with a lower limit k=10

  • Brianna V
  • · Replies 2 ·
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2

Graduate Series expansion around a singular point.

  • muppet
  • · Replies 5 ·
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5

Undergrad How to do integral for Cos(x^2)dx?

  • jkh4
  • · Replies 18 ·
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18

Undergrad Is it really circular to prove the sinx/x limit with L'Hopital?

  • FeDeX_LaTeX
  • · Replies 8 ·
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8

Undergrad How Do You Calculate Field Point Vectors in Different Coordinate Systems?

  • laura_kay
  • · Replies 2 ·
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2

Undergrad Finding Lim Without L'Hospital: A Math Challenge

  • medwatt
  • · Replies 1 ·
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1

Graduate How is the Mathematical Conversion between Δ and dX Expressed?

  • mraptor
  • · Replies 7 ·
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7

Undergrad Dx and delta(x) (in partial derivative)

  • destroyer130
  • · Replies 5 ·
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5

Graduate Integration of a trig function > 0

  • MechEMike
  • · Replies 1 ·
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1

Graduate How Does the Poisson Kernel Influence Mathematical Functions?

  • matematikuvol
  • · Replies 2 ·
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2

Find Value of \(\int_{-\infty}^{\infty} f(x) dx\) for \(y=f(x)\)

  • Nicole18
  • · Replies 5 ·
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5

Undergrad Line Integral: Computing for $\int _1 ^2 V(x)dx$

  • mathsciguy
  • · Replies 2 ·
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2

Graduate How to use Euler's angle theorem in rotation of a coordinate

  • hei
  • · Replies 6 ·
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6

Undergrad Integration by parts not working for a particualr integral

  • DocZaius
  • · Replies 6 ·
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6

Undergrad Is There a Proof for Tabular Integration?

  • MadViolinist
  • · Replies 1 ·
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1

Undergrad How to Evaluate ∫(z²+x²)^(-3/2)dx by Hand?

  • y33t
  • · Replies 8 ·
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8

Undergrad Calculate exponential growth when rate r is changing

  • Vodkacannon
  • · Replies 2 ·
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2

Graduate Integration with eulers formula.

  • cragar
  • · Replies 1 ·
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1

Graduate Why does this not diverge when x = inf?

  • denjay
  • · Replies 4 ·
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4

Graduate Derivative of an integral function

  • muzialis
  • · Replies 3 ·
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3

Undergrad Vector Calculus: Area and Mass of a Region

  • Kushwoho44
  • · Replies 2 ·
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2

Graduate Wronskian of Bessel Functions of non-integral order v, -v

  • mjordan2nd
  • · Replies 4 ·
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4

Undergrad How Do You Integrate cos²(π/2 cosθ) from 0 to π/2?

  • doey
  • · Replies 8 ·
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8

Undergrad Talor series expansion of roots of algebraic equation

  • marellasunny
  • · Replies 1 ·
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1

Graduate Confusing velocity distribution result

  • zn5252
  • · Replies 4 ·
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4

Graduate Don't understand critical part of derivation in textbook.

  • Gibby_Canes
  • · Replies 4 ·
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4
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2

Undergrad Area under a function befuddlement

  • DiracPool
  • · Replies 5 ·
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5

Undergrad What is the name for testing divergence in rational functions?

  • erich76
  • · Replies 4 ·
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4

Behavior of a function as y approaches extremes

  • john3
  • · Replies 2 ·
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2

Circle problem finding coordinates of points

  • Casio1
  • · Replies 5 ·
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5

Graduate Can Fredholm Integral Equations Be Solved Without Fourier Transforms?

  • matematikuvol
  • · Replies 1 ·
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1

Undergrad Alternating Series Test/Test for Divergence

  • Auskur
  • · Replies 4 ·
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4