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 Multivariable class, we'll be starting curvature

  • FluxCapacitator
  • · Replies 2 ·
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2

Graduate Questions on the fundamental theorems

  • Reshma
  • · Replies 5 ·
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5

Undergrad What is the rate of change for a spherical raindrop's radius as it evaporates?

  • jordanfc
  • · Replies 4 ·
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4

Undergrad Differentiation problems involving trig functions

  • cscott
  • · Replies 10 ·
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10

High School Can someone verify my answer for the problem in my post below

  • kendal12
  • · Replies 4 ·
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4

Undergrad Precision in Calculations: The Importance of Using Averages Accurately

  • Maria Meister
  • · Replies 2 ·
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2

Undergrad Proving $\lim_{n \rightarrow \infty} \frac{n!}{n^n} = 0$ - Tutoring Maths Resits

  • Zurtex
  • · Replies 5 ·
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5

Undergrad Runner A & B Paths Cross: Displacement of B from Flagpole

  • AdnamaLeigh
  • · Replies 4 ·
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4

High School What does delta mean in calculus limits?

  • kendal12
  • · Replies 7 ·
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7

Graduate Does the Leibniz Integral Rule Apply to Time-Dependent Integrals?

  • mcah5
  • · Replies 5 ·
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5

Graduate Integration by Parts in Several Variables

  • amcavoy
  • · Replies 3 ·
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3

Graduate KONWhat is the solution to the functional equation f(x,y)=g(r(x)+h(y))?

  • eljose
  • · Replies 2 ·
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2

Undergrad Partial Fractions: (5x^4-6x^3+31x^2-46x-20)/(2x^5-3x^4+10x^3-14x^2+5)

  • deryk
  • · Replies 3 ·
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3

Undergrad Proving Induction Formula with Calculus - Maximilian

  • dustwave
  • · Replies 2 ·
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2

Undergrad Volume of spherical shell using spherical coordinates

  • mister_okay
  • · Replies 4 ·
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4

Undergrad Find the Ideal Width for a Rectangular Vegetable Garden

  • orangeSLICE
  • · Replies 10 ·
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10

Undergrad Integral Substitution: Can We Factor in Derivatives to Make Integration Easier?

  • dx/dy=?
  • · Replies 7 ·
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7

Undergrad Differentiating Trig Identities: Example

  • cscott
  • · Replies 4 ·
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4

Undergrad What is the Importance of Infinitely Differentiable Functions in Mathematics?

  • Ratzinger
  • · Replies 2 ·
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2

Graduate Deriving trig identities from complex exponentials

  • complexhuman
  • · Replies 4 ·
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4

Graduate Calculating Limit: \lambda^t/k with 0<\lambda<1

  • phonic
  • · Replies 2 ·
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2

Undergrad Integral problem question (energy and momentum)

  • Yura
  • · Replies 2 ·
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2

What is a Parity-Sign Function?

  • Orion1
  • · Replies 2 ·
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2

High School How do you calculate e^h if h=ln(absolute x)?

  • asdf1
  • · Replies 21 ·
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21

Undergrad What is the integral of 0 for infinite iterations of 3?

  • mathelord
  • · Replies 27 ·
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27

High School Creating a Function with Changing Variable Values for Precise Results

  • hynpf
  • · Replies 6 ·
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6

Undergrad Standard answer for integral of cos(2deta)cos(ndeta)

  • stan
  • · Replies 2 ·
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2

Why Did Euler Choose 'e' for His Famous Chain Theorem?

  • Orion1
  • · Replies 8 ·
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8

Graduate Is There a Point of Equilibrium in a Game with No Winners?

  • eljose
  • · Replies 2 ·
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2

Undergrad What does Leibniz notation really mean for derivatives?

  • Severian596
  • · Replies 14 ·
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14

Graduate Gaussian Integral Using Residues

  • ghotra
  • · Replies 3 ·
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3

High School Solving for x: sqrt(x^2-x-10) = 10 + sqrt(x^2-11x)

  • martinrandau
  • · Replies 2 ·
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2

Undergrad Problems while reading a mathematics books

  • VietDao29
  • · Replies 12 ·
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12

Undergrad Simple absolute value problem with inequalities

  • complexhuman
  • · Replies 6 ·
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6

Undergrad Trouble with the following limit

  • devious_
  • · Replies 5 ·
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5

Graduate Finding Optimal Angle for Max Range of Cannonball

  • bomba923
  • · Replies 4 ·
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4

Graduate Can Integral Equality Solve for Real Values in Complex Integrals?

  • eljose
  • · Replies 2 ·
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2

Graduate Is the Complex Inequality with Gamma Functions Valid for Any b?

  • eljose
  • · Replies 3 ·
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3

Graduate Expansion for Tan x about Pi/2

  • ghotra
  • · Replies 8 ·
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8

Undergrad L'Hopital's rule gives 0/0 repeatedly for limit of √x sin√x / (1 - e^-x)

  • broegger
  • · Replies 18 ·
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18

Graduate Solving the Elliptical Integral Using Stoke's Theorem

  • daftjaxx1
  • · Replies 2 ·
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2

Undergrad Why does sinx/x tend to 1 from the left and tanx/x from the right?

  • Wiz
  • · Replies 3 ·
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3

Graduate Can the Definition of Derivative be Extended to Functions from R^n to R^m?

  • PBRMEASAP
  • · Replies 23 ·
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23

Undergrad Parametric equations for projectile motion with south and west gravity

  • shoopa
  • · Replies 2 ·
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2

Graduate Is every point in a dense set an accumulation point?

  • relinquished™
  • · Replies 6 ·
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6

Graduate Infinite set with least upper bound that is not an accumulation point

  • irony of truth
  • · Replies 7 ·
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7

Undergrad How do I define max(sin x, cos x) and min(x, x²)?

  • irony of truth
  • · Replies 9 ·
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9

Graduate Does the Orion1 change of base theorem hold for variable bases and functions?

  • Orion1
  • · Replies 2 ·
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2

Undergrad Which Books Explain Calculus Intuitively?

  • εllipse
  • · Replies 20 ·
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20

Undergrad Solve Equation: (Integral) e^2x*e^x(3sin2x+2cos2x)dx

  • asdf1
  • · Replies 6 ·
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6

Graduate If x is an accumulation point of set S and e >0

  • irony of truth
  • · Replies 4 ·
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4

Graduate Numerical integration of sin(1/x)/(1+x³) with Simpson's rule

  • undefined83
  • · Replies 2 ·
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2

Graduate Solve Integral: \frac{(1-x)}{x^2}e^{x-1} dx

  • jeanf
  • · Replies 2 ·
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2

Undergrad Advanced multivariable calculus textbooks

  • Nusc
  • · Replies 14 ·
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14

Undergrad Finding the Height Function for y=\frac{-1}{X^2} + 4

  • bayan
  • · Replies 4 ·
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4

Undergrad Evaluate Integral: sinπ(k/2) with k = 1 to 6

  • dx/dy=?
  • · Replies 3 ·
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3

Graduate What is the Convergence of the Integral for this Sequence?

  • Theraven1982
  • · Replies 2 ·
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2

Graduate Why are problems in modern calculus textbooks easier than in older texts?

  • mruncleramos
  • · Replies 15 ·
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15

Graduate How can we use the chain rule to find the tangent to parametric curves?

  • Cyrus
  • · Replies 14 ·
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14

High School How to Evaluate Trig Integrals and Simplify with Trig Identities?

  • dx/dy=?
  • · Replies 6 ·
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6

Graduate Limits with respect to different norms

  • Manchot
  • · Replies 16 ·
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16

Undergrad How to Prove the Area Between Two Curves with Integration Algebra?

  • bayan
  • · Replies 9 ·
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9

Graduate Integral \int_{1}^{\infty} \frac{1}{n^2+x^2}dx

  • Theraven1982
  • · Replies 11 ·
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11

Graduate Functional Analysis problems need checking

  • Oxymoron
  • · Replies 13 ·
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13

Undergrad Integral of e^x/(25+e^(2x))^4

  • Eiano
  • · Replies 21 ·
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21

Undergrad Why do sine and cosine appear in non-integer powers with imaginary exponents?

  • GravitatisVis
  • · Replies 18 ·
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18

Undergrad How Should Partition Points Be Chosen for Different Integral Calculations?

  • siddharth
  • · Replies 3 ·
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3

Graduate How to Show that Coefficients of a Power Series for tan(x) are 0 for Even n

  • complexhuman
  • · Replies 2 ·
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2

Graduate A question implying Ganma function

  • eljose
  • · Replies 2 ·
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2

Graduate Zeta(2) = pi^2/6 and zeta(4) = pi^4/90 what is zeta(3)?

  • murshid_islam
  • · Replies 4 ·
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4

Graduate Convergence of improper integrals near asymptotes

  • saltydog
  • · Replies 13 ·
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13

Graduate What is the symbolic condensed version of Equation 2?

  • Orion1
  • · Replies 4 ·
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4

Undergrad How to Use Integration to Find the Volume of a Rotated Function in Mathematica

  • bayan
  • · Replies 3 ·
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3

Graduate Prove by Beta and Sigma limit definition

  • kidia
  • · Replies 3 ·
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3

High School Excellent *teachyourself* Calculus books?

  • r3dxP
  • · Replies 5 ·
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5

Undergrad Mean Value Theorem: Proving Inequalities with f'(x)

  • kidia
  • · Replies 4 ·
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4

Graduate Does Lagrange multipliers find inflection points as critical points?

  • Cyrus
  • · Replies 11 ·
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11

Graduate Solving a Tricky Integral Problem

  • melknin
  • · Replies 11 ·
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11

Graduate How can I prove the nested intervals theorem using a proof by contradiction?

  • irony of truth
  • · Replies 4 ·
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4

Undergrad Using the concept of finite difference

  • irony of truth
  • · Replies 7 ·
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7

Undergrad What Happens to z When Taking the Derivative of a Surface Equation?

  • Cyrus
  • · Replies 11 ·
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11

Graduate Proving Integrals and Series: A Generalization?

  • amcavoy
  • · Replies 2 ·
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2

Graduate Contour Integral with Branch Cut

  • cjellison
  • · Replies 7 ·
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7

Graduate Vanishing of a cyclic integral the property of a state function?

  • asdf1
  • · Replies 2 ·
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2

Undergrad Lim(x->inf) of ((x+a)/(x-a))^x = e

  • techtown
  • · Replies 4 ·
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4

Graduate Mean Value Theorem for Nonlinear Equations in R^n

  • steffka
  • · Replies 4 ·
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4

Undergrad Improper integral + Maclaurin series problem

  • mikeXXL
  • · Replies 2 ·
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2

Undergrad Is the Use of h Confusing in the Directional Derivative Proof?

  • Cyrus
  • · Replies 13 ·
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13

Undergrad How Does the Mathematical Function of Time Affect River Depth?

  • bagpiper
  • · Replies 3 ·
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3

Undergrad Deriving a function from an image

  • Wingman
  • · Replies 3 ·
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3

Undergrad Why Can't Integration Variables Be Interpreted Using This Method?

  • Orion1
  • · Replies 7 ·
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7

Graduate Integral dx/sqrt(x - a)integral dx/sqrt(1/ax)

  • rebeka
  • · Replies 5 ·
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5

Graduate How Does the Limit Sum Integer Method Solve Integral Calculations?

  • Orion1
  • · Replies 3 ·
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3

Graduate Volume outside sphere and paraboloid inside cone surface

  • RadiationX
  • · Replies 12 ·
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12

Graduate Are These Second Derivative Theorems Correct and Simplifiable?

  • Orion1
  • · Replies 4 ·
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4

Graduate Why the fundamental theorem needs a dummy variable in its notation

  • Cyrus
  • · Replies 16 ·
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16

Graduate Limit of (x e^x) / (x^x *x^1/2)

  • roger
  • · Replies 8 ·
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8

Undergrad What is the derivative of a modulus function?

  • Zurtex
  • · Replies 4 ·
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4

Undergrad Antiderivative of 1/sqrt(lnx - c)

  • rebeka
  • · Replies 14 ·
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14

Undergrad How much work is required to empty the tank?

  • unggio
  • · Replies 3 ·
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3