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

Calculating Integral with Simpson's Rule for Error < $0.5\cdot 10^{-3}$

  • mathmari
  • · Replies 6 ·
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6

Undergrad What is the approximation used here?

  • Unconscious
  • · Replies 3 ·
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3

Integrating a piecewise function?

  • Emma_011
  • · Replies 6 ·
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6

Is f(x)=ln(x)/x Increasing or Decreasing?

  • Emma_011
  • · Replies 1 ·
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1

What is the Minimum Length of AP + PB?

  • Monoxdifly
  • · Replies 6 ·
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6

What Is the Minimum Surface Area for a Cuboid Box with a Square Base?

  • Monoxdifly
  • · Replies 4 ·
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4

How do you choose nodes and weights for Gaussian quadrature?

  • mathmari
  • · Replies 12 ·
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12

Undergrad Finding global minima of nth degree polynomials

  • Mayhem
  • · Replies 2 ·
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2

Undergrad The surface area of an oblate ellipsoid

  • Adams2020
  • · Replies 8 ·
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8

High School Infinitely smaller changes in a related rates question

  • NoahsArk
  • · Replies 9 ·
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9

Undergrad No, I didn't notice. Can you show me?

  • john baez
  • · Replies 4 ·
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4

Proving Series Inequality: $\sqrt[3]{\frac{2}{1}}$ to $\frac{1}{8961}$

  • anemone
  • · Replies 1 ·
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1

Undergrad Determine the Transformation from Cylindrical to Rectangular coordinates

  • LagrangeEuler
  • · Replies 5 ·
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5

Derivative of (csc(x) + cot(x))^-1 using chain rule

  • darkknight1
  • · Replies 2 ·
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2
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1
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10

High School What Are Functions Called That Are Linearly Dependent With Their Derivatives?

  • Gaussian97
  • · Replies 4 ·
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4

Undergrad Multivariable limits - path problem

  • WonderKitten
  • · Replies 3 ·
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3

Help with iterated, double, and triple integrals

  • a0w
  • · Replies 1 ·
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1

High School Does 0.999999... equal 1 or approach it?

  • entropy1
  • · Replies 10 ·
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10

Undergrad Representations of a delta function

  • Frabjous
  • · Replies 7 ·
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7

Graduate What is the meaning of ##d\Omega## in solid angle integration?

  • PreposterousUniverse
  • · Replies 3 ·
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3

Calculating Area Under a Curve: Is My Approach Correct?

  • jaychay
  • · Replies 2 ·
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2

-gre.ge.04 intersection of parabola and line

  • karush
  • · Replies 5 ·
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5

Can You Prove This Using Fraction Division?

  • alexliu00
  • · Replies 1 ·
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1

High School Sum of repdigit series 1+11+111+1111+

  • Purpleshinyrock
  • · Replies 3 ·
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3

[ASK] Seemingly Simple Limit Question but I have no Idea

  • Monoxdifly
  • · Replies 2 ·
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2

[ASK] Limit of Trigonometry Function

  • Monoxdifly
  • · Replies 3 ·
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3

High School How did Cavalieri get his formula for the area underneath a parabola?

  • erocored
  • · Replies 2 ·
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2

Interval of the Riemann integral value

  • goody1
  • · Replies 3 ·
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3

Undergrad Double integrals - do areas cancel?

  • dyn
  • · Replies 24 ·
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24

High School Why multiply vector field by normal vector in surface integrals

  • Hamiltonian
  • · Replies 4 ·
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4

Undergrad How to Differentiate Using the Chain Rule?

  • tomwilliam
  • · Replies 5 ·
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5

Undergrad Derivatives of Standard Functions

  • madness
  • · Replies 17 ·
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17

Undergrad Divergence & Curl -- Is multiplication by a partial derivative operator allowed?

  • Fascheue
  • · Replies 6 ·
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6

High School Why does f = g in implicit equations?

  • etotheipi
  • · Replies 8 ·
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8

Undergrad Treating the Derivative like a Quotient

  • Trying2Learn
  • · Replies 15 ·
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15

Undergrad Approximating a double integral with a product of integrals

  • umby
  • · Replies 12 ·
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12

High School Why is there a dy term in the differential dT = (∂T/∂y)dy?

  • Hamiltonian
  • · Replies 9 ·
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9

Can Integration by Parts Solve This Tricky Question?

  • jaychay
  • · Replies 1 ·
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1

Find the volume by using shell and disk method

  • jaychay
  • · Replies 1 ·
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1

Find the area by using disk method

  • jaychay
  • · Replies 4 ·
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4

Revolving Volume of R on x=3 using Shell Method

  • jaychay
  • · Replies 2 ·
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2

Volume by shell and disk method homework check

  • jaychay
  • · Replies 1 ·
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1

Undergrad Limits of functions and sequences

  • trees and plants
  • · Replies 36 ·
2
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36

Find the volume using shell and disk method

  • jaychay
  • · Replies 3 ·
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3

Integrating sin(u) + u⁶

  • jaychay
  • · Replies 4 ·
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4

High School How to learn differentiation and integration in 14 days?

  • greg_rack
  • · Replies 3 ·
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3

Undergrad Square of a differentiable functional

  • LCSphysicist
  • · Replies 5 ·
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5

High School Volume of paraboloid in a cylinder

  • Hamiltonian
  • · Replies 2 ·
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2

Calculating $$\sum_{0 \le k \le n}(-1)^k k^n \binom{n}{k}$$

  • MountEvariste
  • · Replies 1 ·
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1

Undergrad Infinite series calculation of a potential

  • Vitani1
  • · Replies 2 ·
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2

First, second and third derivatives of a polynomial

  • anemone
  • · Replies 1 ·
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1

High School Confusion on Implicit Differentiation

  • NoahsArk
  • · Replies 16 ·
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16

Undergrad Simplifying limit with Stirling approximation

  • lholmes135
  • · Replies 9 ·
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9

Undergrad Calculus: What is the derivative of ##\phi## at a point?

  • ElieQuebec10
  • · Replies 1 ·
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1

Graduate Derivative of norm of function w.r.t real-part of function

  • SchroedingersLion
  • · Replies 5 ·
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5

Find maximum area of a triangle

  • anemone
  • · Replies 1 ·
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1

Finding stationary points using differentiation

  • Lhh
  • · Replies 3 ·
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3

Undergrad How many slant asymptotes can a rational function have?

  • fog37
  • · Replies 3 ·
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3

How do I find the second derivative?

  • Lhh
  • · Replies 1 ·
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1

Evaluate the integral from 0.2 to 10 of 0.2e^−0.2u du

  • Lhh
  • · Replies 1 ·
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1

Definite integral involving a lot of exponentials.

  • caffeinemachine
  • · Replies 2 ·
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2

How can I find the Cauchy principal value of this integral?

  • Another1
  • · Replies 2 ·
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2

3.3.2 AP Calculus Exam interval from f'(x)

  • karush
  • · Replies 4 ·
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4

How Do You Solve a Geometric Sum with Alternating Signs?

  • Kola Citron
  • · Replies 2 ·
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2

Apc.2.8.1 ap vertical circular cylinder related rates

  • karush
  • · Replies 2 ·
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2

Undergrad Reconciling two integral results with substitution x = a tan θ

  • {???}
  • · Replies 6 ·
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6

S8.7.2.1 AP calculus Exam (typo problem)

  • karush
  • · Replies 2 ·
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2

What Is the Value of the Integral $\int_0^1 xe^x \, dx$?

  • karush
  • · Replies 1 ·
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1

2.1.4 AP calc exam graph properties

  • karush
  • · Replies 2 ·
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2

Finding the Area of a Figure Given by an Equation

  • WMDhamnekar
  • · Replies 1 ·
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1

Undergrad Confirming my knowledge on surface integrals

  • Isaac0427
  • · Replies 2 ·
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2

Undergrad Looking for references on this form of a Taylor series

  • Hiero
  • · Replies 3 ·
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3

Graduate How Do You Solve This Alternating Series Involving Logarithms?

  • JHansen
  • · Replies 12 ·
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12

S8.4.2.48 find int given 2 areas

  • karush
  • · Replies 2 ·
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2

Graduate Dirac delta function confusion

  • Antarres
  • · Replies 2 ·
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2

Evaluate the integral of e^(2x)/(1+e^x)

  • karush
  • · Replies 5 ·
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5

How to Integrate $\int(e^{t^2}+16)te^{t^2} dt$ Using Substitution?

  • karush
  • · Replies 2 ·
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2

Graduate Contour integral regularization of e^(iax)/x^2 depends on pole shift

  • Antarres
  • · Replies 8 ·
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8

Undergrad Show that an expression approaches an integer

  • John Greger
  • · Replies 7 ·
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7

S8.5.1.64 values of m for region

  • karush
  • · Replies 5 ·
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5

High School Orientation of double integrals

  • etotheipi
  • · Replies 13 ·
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13

Evaluate S8.4.3.84 Integral from 1 to 3

  • karush
  • · Replies 3 ·
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3

High School A summation that "feeds back into itself"

  • tovisonnenberg
  • · Replies 1 ·
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1

Undergrad Convergence of sequences of functions with differing domains?

  • Stephen Tashi
  • · Replies 11 ·
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11

S8.2.6.3 differenciate by separation and power rule

  • karush
  • · Replies 2 ·
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2

Can Implicit Differentiation Be Done by Separation of Variables?

  • karush
  • · Replies 2 ·
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2

What is the limit of a complex fraction with L'Hopital's rule?

  • karush
  • · Replies 1 ·
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1

High School What did Archimedes mean by the area of a spherical segment matching a cylinder segment?

  • murshid_islam
  • · Replies 5 ·
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5

Determine the relative maximum and minimum on the graph

  • jaychay
  • · Replies 5 ·
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5

Calculus airplane related rates problem ( cosine rule)

  • jaychay
  • · Replies 2 ·
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2

High School Proving: 2 is the Limit for x>1

  • Chris Miller
  • · Replies 22 ·
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22

Undergrad Irrationality of pi proof: final inequality

  • murshid_islam
  • · Replies 7 ·
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7

Undergrad Minimizing glass stress in spring clip with diameter and width variables

  • Doc
  • · Replies 6 ·
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6

Related rates calculus problem about water tank

  • jaychay
  • · Replies 2 ·
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2

Graduate Integration of the Maxwell Speed Distribution

  • TeslaPow
  • · Replies 12 ·
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12

How can i integrate this function

  • Another1
  • · Replies 1 ·
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1

Undergrad Checking propositional logic proof of multiple integrals

  • oliverkahn
  • · Replies 8 ·
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8

Tips for Growing a Healthy Organic Garden

  • Gwapako
  • · Replies 2 ·
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2