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 Why Is 1^∞ an Indeterminate Form in Limits?

  • kbaumen
  • · Replies 4 ·
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4

Graduate Epsilon-Delta Proof for Limit of x^2sin(1/x) as x Approaches 0

  • rman144
  • · Replies 3 ·
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3

Undergrad Limit of y=((x-1)/x)^x as x approaches inf

  • Chris101
  • · Replies 2 ·
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2

Undergrad Integral Calculus - reduction formula/formulae

  • james.farrow
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2

Graduate Limits of pitch and time resolution in signal analysis (FFT/SFTF)

  • Twinbee
  • · Replies 3 ·
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Graduate Cylindrical vs. spherical coordinates

  • Marin
  • · Replies 2 ·
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2

Undergrad Volume of a Cube: Integrating s3 vs. s^3/3

  • DocZaius
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2

Graduate Infinite Series Comparison Test

  • Gear300
  • · Replies 4 ·
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4

Graduate Equivalence of Norms in Separable Hilbert Space

  • quasar987
  • · Replies 2 ·
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2

Graduate How can contour integration be used to prove complex analysis identities?

  • Marin
  • · Replies 7 ·
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7

Graduate Derivative of the Gamma Function

  • Unit
  • · Replies 5 ·
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Undergrad Differntiable at point problem

  • james.farrow
  • · Replies 5 ·
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5

Graduate Understanding of Higher-Order Derivatives

  • shaggymoods
  • · Replies 1 ·
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1

Graduate Understanding differentials and differentiation

  • donotremember
  • · Replies 6 ·
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6

Graduate Solution for Integral Probs: Exponential Form w/ Symmetric Matrix

  • Petar Mali
  • · Replies 1 ·
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1

Graduate Why algebraic operations on divergent series like 1 - 1 + 1 - 1 + ... fail

  • Gear300
  • · Replies 6 ·
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6

Undergrad Do cosine, tangent, and cotangent have similar limit identities to sine?

  • MathematicalPhysicist
  • · Replies 20 ·
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Graduate If, lim [(A)/2^y] as y->infinity = (1/2)*[(1/2)^x], what is A(x)?

  • redphoton
  • · Replies 2 ·
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2

Graduate A multivariable chain rule problem

  • 501622731
  • · Replies 3 ·
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3

Undergrad Does + C melt together ALL constants?

  • Unit
  • · Replies 6 ·
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6

Undergrad Differentiation of a function with respect to itself

  • bitrex
  • · Replies 2 ·
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2

Graduate How Can I Solve This Complex Integral?

  • mvillagra
  • · Replies 4 ·
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4

Graduate How to Solve for the Nth Derivative of a Trigonometric Function?

  • JanClaesen
  • · Replies 10 ·
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10

Graduate Sequences in nonstandard analysis(basic question)

  • Bourbaki1123
  • · Replies 6 ·
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6

Undergrad How to evaluate a Triple Integral

  • squenshl
  • · Replies 7 ·
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7

Graduate Does the Parameterization Affect the Pullback of a Constant 1-Form?

  • tronter
  • · Replies 1 ·
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Graduate Is the set of bounded signals considered in topology and C^1 functions compact?

  • symv
  • · Replies 3 ·
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3

Graduate Existence (and uniqueness) of parameterization

  • michael.wes
  • · Replies 4 ·
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4

Graduate Confusion with the Taylor's Inequality

  • yupenn
  • · Replies 1 ·
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1

Undergrad Is the identity I came up with for sin(x) ^ 2 correct?

  • pro.in.vbdnf
  • · Replies 10 ·
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10

Undergrad Prove a function is invertible using Calculus?

  • thinkgreen95
  • · Replies 6 ·
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6

Undergrad Epsilon delta to prove continuity

  • james.farrow
  • · Replies 5 ·
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5

Graduate Triple integral of x+y+z with change of variables u=x+y, v=y+z, w=x+z

  • squenshl
  • · Replies 5 ·
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5

High School How do you use the quotient rule to find the derivative of X?

  • Maxwellkid
  • · Replies 9 ·
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9

Undergrad Struggling with Spivak's Calculus problem sets before proof class

  • l'Hôpital
  • · Replies 18 ·
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18

Graduate Closed form for ∑(-1)^n e^(-1/nx)/n

  • rman144
  • · Replies 5 ·
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5

Graduate Mutlivariable Epsilon Delta Proofs

  • patata
  • · Replies 2 ·
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2

Undergrad Finding the error in simplifying β²/(x-1)(x-2) - β²/(x-1)²

  • confused88
  • · Replies 2 ·
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2

Graduate Evaluating Triple Integral: $\int\int\int_H(x^2+y^2) dV$

  • squenshl
  • · Replies 3 ·
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3

Undergrad Evaluating Triple Integral of G: xyz dV

  • squenshl
  • · Replies 2 ·
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2

Undergrad Can you find a secant slope from only the derivative without integrating?

  • soandos
  • · Replies 13 ·
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13

Undergrad Finding a and b in limits: why does splitting the limit give a different answer?

  • WiFO215
  • · Replies 4 ·
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4

Graduate Periodic, continuous and piecewise smooth function

  • fractional
  • · Replies 3 ·
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3

Graduate Uniform Convergence and integration

  • angryfaceofdr
  • · Replies 6 ·
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6

Undergrad What are differentials and integrals practically?

  • DeViLDuD3
  • · Replies 6 ·
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6

Graduate Proving Integral of x^x Does Not Exist

  • n1person
  • · Replies 6 ·
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Graduate Proving Summation: $\sum_{n=1}^{\infty}n^{-2}=\frac{\pi^2}{6}

  • Mentallic
  • · Replies 2 ·
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Undergrad Math 131 calculus for social science

  • gambit55
  • · Replies 5 ·
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5

Graduate How to Prove the Limit of an Integral Involving Sine and a Function?

  • jostpuur
  • · Replies 2 ·
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2

High School If y = x/z then how do you calculate dx/dy?

  • confused88
  • · Replies 3 ·
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3

Graduate Is My Proof of Laplace Transform Uniqueness Correct?

  • mag487
  • · Replies 5 ·
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5

Graduate Closed Form Solution for Series with Exponential and Power Terms?

  • rman144
  • · Replies 4 ·
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4

Undergrad Solving the Limiting Equation: x^3/e^(x^3) - 1 = 1

  • james.farrow
  • · Replies 7 ·
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7

Graduate Contour integral of f(z)/z times e^(1/z) around zero

  • StatusX
  • · Replies 2 ·
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2

Graduate Smooth everywhere but analytic nowhere function

  • lolgarithms
  • · Replies 10 ·
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10

Graduate Analytic solution to an exponential integral

  • appelberry
  • · Replies 8 ·
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8

Graduate Can a vertical asymptote be an inflection point?

  • caljuice
  • · Replies 3 ·
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3

Undergrad Find the arc length for the given interval (parametric curve)

  • wh00ps
  • · Replies 2 ·
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2

Graduate Question from a theorem in Baby Rudin (Re: Least-Upper-Bound Property)

  • PieceOfPi
  • · Replies 3 ·
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3

Undergrad Shifting the Summation Index in Zeta Function Convergence Proof?

  • Skynt
  • · Replies 3 ·
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3

Graduate Spherical coordinates surface integral

  • daudaudaudau
  • · Replies 1 ·
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1

Graduate Solve Integral with Modified Bessel Function

  • EngWiPy
  • · Replies 1 ·
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1

Graduate Integral Over a Sphere with dirac delta function

  • tim85ruhruniv
  • · Replies 1 ·
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1

Undergrad What is the Pattern for Differentiating sin^7(x) n Times?

  • shubhakeerti
  • · Replies 1 ·
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1

Undergrad Difference between Essentials Calculus and Early Transcendentals

  • srfriggen
  • · Replies 3 ·
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3

Graduate Is a bijective continuous function from [a,b] to [f(a),f(b)] differentiable?

  • lolgarithms
  • · Replies 7 ·
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7

Graduate Can We Separate Positive and Negative Terms in a Series to Prove Convergence?

  • JG89
  • · Replies 2 ·
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2

Undergrad How can both equations for polar coordinates be derived?

  • putongren
  • · Replies 6 ·
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6

Undergrad Length of curve in Polar coordinate system

  • ltd5241
  • · Replies 4 ·
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4

Undergrad How do I evaluate double integral as the limit of a sum

  • squenshl
  • · Replies 3 ·
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3

Undergrad How to Integrate d^2 x or d^3 x in Physics?

  • Steve Drake
  • · Replies 3 ·
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3

Graduate How could you use the implicit function theorem to prove something like this?

  • AxiomOfChoice
  • · Replies 2 ·
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2

Undergrad Hyperbolic and Inverse Functions

  • GRB 080319B
  • · Replies 4 ·
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4

Undergrad What does x = x_0 + O(y) mean?

  • AxiomOfChoice
  • · Replies 2 ·
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2

Graduate G(x1+x2)=\sum g(a_{i,j}x^ix^j)

  • John Creighto
  • · Replies 1 ·
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1

Undergrad What does a quadruple integral represent physically?

  • Excellence
  • · Replies 18 ·
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18

Graduate What is the Limit of the Integral in the Small x Regime for y approaching 1?

  • blue2script
  • · Replies 2 ·
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2

Undergrad Evaluating ∫f(x⁴) dx with u-substitution

  • squenshl
  • · Replies 12 ·
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12

Graduate Dx dy where R is the unit circle.

  • squenshl
  • · Replies 1 ·
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1

High School How to find sin(cos x) or cos(sin x)

  • optics.tech
  • · Replies 4 ·
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4

Graduate Infinite series by integration by parts

  • disregardthat
  • · Replies 3 ·
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3

Graduate Unit Circle Double Integral: Is 2π/3 the Answer?

  • squenshl
  • · Replies 1 ·
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1

Graduate Taking the gradient of 1/r (solid sherical harmonics?)

  • hanson
  • · Replies 12 ·
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12

Graduate Condition for differentiability of a function

  • peeyush_ali
  • · Replies 12 ·
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12

Graduate Proof of Integral: $\int_0^{\infty}\frac{dx x^2}{e^x - 1} = 2\zeta(3)$

  • nicksauce
  • · Replies 4 ·
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4

Undergrad How to integrate dx/sqrt(x^2+r^2) step by step

  • omer21
  • · Replies 6 ·
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6

Undergrad Partial Derivative fy(x,y): What Is It?

  • squenshl
  • · Replies 2 ·
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2

Undergrad Natural Logarithm and Integral Operator

  • EngWiPy
  • · Replies 2 ·
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2

Undergrad The Point of Series/Convergence?

  • Jammin_James
  • · Replies 3 ·
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3

Graduate Proving Continuity of $\frac{x}{x-k}$ for $x\neq k$

  • daudaudaudau
  • · Replies 1 ·
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1

Graduate Solving an equation with boundary conditions

  • Mad_MechE
  • · Replies 1 ·
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1

Graduate Calculating dr/dtheta at an arbitrary point and angle

  • haytil
  • · Replies 3 ·
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3

Graduate Volume of n-dimensional sphere equation

  • Petar Mali
  • · Replies 2 ·
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2

Graduate Proving 3D Delta Function with Laplacian

  • daudaudaudau
  • · Replies 5 ·
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5

Graduate Integral over an arbitrary surface

  • Starproj
  • · Replies 7 ·
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7

Graduate Definition problem of the integral of a nonnegative f in royden's book

  • alexzhu
  • · Replies 6 ·
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6

Graduate An identity involving a Dirac delta function.

  • jpreed
  • · Replies 12 ·
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12

Graduate Not possible to find a function g such that g

  • squenshl
  • · Replies 3 ·
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3

Graduate Unifourm Continuity of f(x)=1/x on (0,+∞)

  • ArixII
  • · Replies 2 ·
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2

Graduate Maxima-Minima for a 6 independent variable problem

  • e2m2a
  • · Replies 6 ·
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6