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 Change of variable and Jacobians

  • dyn
  • · Replies 15 ·
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15

High School New to Nonlinear Diff. Equations? Ask Here!

  • knockout_artist
  • · Replies 11 ·
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11

9.4.5 Identify the equilibrium values

  • karush
  • · Replies 8 ·
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8

Undergrad Second derivative of a curve defined by parametric equations

  • Mr Davis 97
  • · Replies 3 ·
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3

Solve initial value problem with √(16-x²) dy/dx = 1

  • karush
  • · Replies 4 ·
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4

High School Integration by Substitution Using Infinite Sums

  • Conductivity
  • · Replies 3 ·
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3

High School Expressions of ##log(a+b), tan^{-1}(a+b),sin^{-1}(a+b)##,etc

  • Kumar8434
  • · Replies 12 ·
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12

Graduate Inverse Laplace transform of F(s)=exp(-as) as delta(t-a)

  • cg78ithaca
  • · Replies 7 ·
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7

Undergrad Limits to directly check second order differentiability

  • Kumar8434
  • · Replies 1 ·
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1

Undergrad Why does δq(t)p(t) constant imply p is conserved in Noether's theorem?

  • Silviu
  • · Replies 6 ·
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6

Compute Limit: \sqrt[n]{1+x^n}^n

  • MarkFL
  • · Replies 4 ·
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4

Graduate How to Solve the Fourier Integral in Eq. (27) Involving Position Vectors?

  • David932
  • · Replies 10 ·
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10

How to Solve Related Rates Problems in Calculus 1

  • harpazo
  • · Replies 8 ·
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8

High School Small big problem with integrals

  • MAGNIBORO
  • · Replies 3 ·
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3

Graduate Integral with an inverse function limit

  • Kvad
  • · Replies 2 ·
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2
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2

Undergrad Can Taylor series be used to get the roots of a polynomial?

  • Kumar8434
  • · Replies 16 ·
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16

Undergrad Why does integration sum infinitesimal elements in physics?

  • EddiePhys
  • · Replies 10 ·
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10

Graduate What Are the Different Types of Derivatives in Calculus?

  • observer1
  • · Replies 3 ·
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3

Undergrad Newton's approximation of inverse trig

  • Invutil
  • · Replies 7 ·
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7

High School Average angle made by a curve with the ##x-axis##

  • Kumar8434
  • · Replies 4 ·
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4

Undergrad Can I prove the finiteness of an expression involving hyperreals?

  • Buffu
  • · Replies 23 ·
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23

Sum of Infinite Series: Find 1/sqrt(2)

  • Umar
  • · Replies 2 ·
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2

Graduate Logarithmic divergence of an integral

  • spaghetti3451
  • · Replies 1 ·
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1

Undergrad Taylor series to evaluate fractional-ordered derivatives

  • Kumar8434
  • · Replies 3 ·
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3
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1

9.1.14 Use Euler's method to calculate

  • karush
  • · Replies 2 ·
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2

Undergrad Multi-dimensional Integral by Change of Variables

  • junt
  • · Replies 1 ·
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1

Undergrad Why does spring force stay constant when integrating work over dy?

  • EddiePhys
  • · Replies 5 ·
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5

Undergrad Integrating both sides of an equation question

  • TomServo
  • · Replies 6 ·
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6

Undergrad How Does Log(z) Expand at Infinity?

  • Belgium 12
  • · Replies 2 ·
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2
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3

Undergrad Can dp/dt Be Found When p(x) Is Inverse?

  • rabbed
  • · Replies 12 ·
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12

Undergrad Is there an equivalent form for arctan?

  • Aristotle
  • · Replies 11 ·
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11

Graduate Taylor/Maclaurin series for piecewise defined function

  • cg78ithaca
  • · Replies 6 ·
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6

Undergrad Integral of (x+y)/((y)(y²-1)ln(x+y)) from 2 to ∞

  • pkmpad
  • · Replies 7 ·
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7

Undergrad Do limit and differential operators commute?

  • 2sin54
  • · Replies 2 ·
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2

Undergrad How Does the Delta Function Impact Integral Calculations in Physics?

  • CAF123
  • · Replies 20 ·
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20

Undergrad Surface formed by moving area along curved axis

  • Kavorka
  • · Replies 2 ·
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2

Undergrad How Do I Symbolically Evaluate a Double Integral with an Offset Circle?

  • Mark_ca_101
  • · Replies 3 ·
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3

Undergrad Closed form solution for this integral

  • Oedipus
  • · Replies 4 ·
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4

How Does the Derivative of a Cubic Function Result in a Tangent Line?

  • tenman
  • · Replies 4 ·
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4

Integral of x³/(x²+18x+81) from 0 to 9

  • karush
  • · Replies 1 ·
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1

Undergrad Proving equivalence between statements about a sequence

  • issacnewton
  • · Replies 9 ·
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9

242t.8.5.9 expand the quotient by partial fractions

  • karush
  • · Replies 3 ·
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3

Undergrad Integrating a Complex Integral using Substitution and Simplification

  • Mr Davis 97
  • · Replies 2 ·
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2

Undergrad Take v(t) and h(t) to make v(h)

  • Adoniram
  • · Replies 9 ·
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9

How Can You Evaluate a Tricky Integral of Sin^5(3x) dx?

  • karush
  • · Replies 3 ·
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3
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9

What are the new formulas for x and y that will converge to $\sqrt{k}$?

  • ineedhelpnow
  • · Replies 1 ·
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1

Undergrad Continous signals as sums of weighted delta functions

  • LLT71
  • · Replies 8 ·
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8

Undergrad Coefficients in a quotient of sums

  • Sturk200
  • · Replies 2 ·
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2

242t.08.02.09 int of rational expression.

  • karush
  • · Replies 4 ·
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4

Undergrad Proof that lattice points can't form an equilateral triangle

  • Figaro
  • · Replies 5 ·
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5

Undergrad Understand Limits: Why Does ∞1=lim n→∞ (n+1/n-1)?

  • Jarvis88
  • · Replies 5 ·
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5

How to Calculate the Slope of a Line Through Two Points?

  • mathdad
  • · Replies 2 ·
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2

Undergrad How Does the Dirac Delta Function Simplify to f(0) in Integrals?

  • LLT71
  • · Replies 27 ·
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27

Undergrad Derivative with several terms in denominator

  • davidge
  • · Replies 7 ·
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7

242.7x.27 Find the slowest growing and the fastest growing functions

  • karush
  • · Replies 6 ·
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6

How Do I Find a Point on a Curve with a Specific Slope?

  • mathdad
  • · Replies 2 ·
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2

Undergrad A directional, partial derivative of a scalar product?

  • particlezoo
  • · Replies 2 ·
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2

242t.08.02.41 Find the area of the region bounded by

  • karush
  • · Replies 3 ·
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3

Undergrad Convergence Vectors Calculus: Definition

  • iDimension
  • · Replies 5 ·
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5

High School How to check if this limit is correct or not?

  • Kumar8434
  • · Replies 5 ·
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5

Undergrad Do curl and partial derivative commute?

  • bwest121
  • · Replies 1 ·
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1
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4

Derivative of y w.r.t x: 242.7x.25

  • karush
  • · Replies 2 ·
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2

How Do You Differentiate \( \arctan(\sqrt{3x}) \)?

  • karush
  • · Replies 2 ·
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2

Graduate How to solve an integral with the Inverse error function

  • matteo86bo
  • · Replies 5 ·
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5

Vector-valued function is smooth over an interval

  • A.Magnus
  • · Replies 1 ·
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1

Calculating Integrals with Antiderivatives

  • mathmari
  • · Replies 6 ·
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6

Integral: Solving the Difficult One

  • Natarajan
  • · Replies 1 ·
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1

Undergrad Why does the gamma function substitution work for complex values of a?

  • MAGNIBORO
  • · Replies 6 ·
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6

What is the age of the tree to the nearest year?

  • karush
  • · Replies 2 ·
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2

High School Chain rule for variable exponents

  • kolleamm
  • · Replies 7 ·
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7

Undergrad How do you prove Ramanujan's nested radical identity 3 = √(1+2√(1+3√...))?

  • jostpuur
  • · Replies 5 ·
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5

Derivative and Limit of an Exponential Function

  • Yankel
  • · Replies 3 ·
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3

Graphical Problem with 1st and 2nd Derivaties

  • Yankel
  • · Replies 3 ·
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3

What is the antiderivative of $\frac{1}{x^{1/2}+x^{1/3}}$ for $x>0$?

  • lfdahl
  • · Replies 4 ·
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4

Undergrad Surface parametrization and its differential

  • jonjacson
  • · Replies 6 ·
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6

Undergrad Generalizing the translation operator

  • BlackHole213
  • · Replies 1 ·
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1

Integrating $\sec^2(2x)$: A Puzzler

  • karush
  • · Replies 4 ·
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4

Undergrad Calculating Work Needed to Stretch a Spring: 100J to 0.75m

  • iPhotonHQ
  • · Replies 5 ·
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5

Demand for a certain Commodity

  • confusedbycalc
  • · Replies 1 ·
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1

Undergrad Epsilon-Delta or Infinitesimal: Which is More Rigorous?

  • observer1
  • · Replies 1 ·
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1

242.7x.01 d/dx of inverse equation

  • karush
  • · Replies 1 ·
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1

Undergrad Evaluating the integral of δ(k₁x - k₂y) over 2D space

  • junt
  • · Replies 6 ·
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6

231.13.3.33 calculate the proj_u, and scal_u

  • karush
  • · Replies 2 ·
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2

Undergrad ## \int ~ dx dy dz ~ f(x,y,z)~ \delta (x+y+z-1)##

  • Safinaz
  • · Replies 11 ·
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11
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3

High School Why does the expression equal the reciprocal of its logarithm?

  • terryds
  • · Replies 1 ·
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1

Solving for dy/dx: $\sqrt{y}\cos^2{\sqrt{y}}$

  • karush
  • · Replies 6 ·
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6

Calculate $\int sze^z dS$ on Unit Sphere

  • richatomar
  • · Replies 1 ·
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1

Surface Integral of $F$ Over Region V

  • richatomar
  • · Replies 1 ·
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1

Undergrad Can indeterminate limits always be evaluated?

  • Mr Davis 97
  • · Replies 10 ·
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10

Undergrad Product rule in Newton notation?

  • volican
  • · Replies 4 ·
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4

Undergrad Fixed Variables in Partial Derivatives

  • transmini
  • · Replies 1 ·
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1

Undergrad Proofs of Stokes Theorem without Differential Forms

  • Crek
  • · Replies 1 ·
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1

High School Simplifying an exponential with a square root

  • Mr Davis 97
  • · Replies 4 ·
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4

Graduate How to calculate twist rate for a cycloid on a cylinder

  • Rdyno
  • · Replies 2 ·
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2