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 Integration Limits Changing in Double Integral Order Change

  • transmini
  • · Replies 4 ·
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4

Finding Coordinates for sin(2x)=1/2

  • markosheehan
  • · Replies 5 ·
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5

Graduate Trying an alternate Proof of the Fundamental Theorem

  • Valour549
  • · Replies 11 ·
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11

Undergrad Simplifying integral of Gauss' hypergeometric function

  • EngWiPy
  • · Replies 6 ·
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6

Ratio test with an integer power of an in numerator

  • tmt1
  • · Replies 4 ·
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4

Undergrad Why this triple integral equals zero?

  • topito2
  • · Replies 3 ·
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3

Undergrad Series for Elliptic Integral of the First Kind

  • StudentOfScience
  • · Replies 2 ·
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2

Undergrad Malus' law in the limit of infinitely many polarizers

  • greypilgrim
  • · Replies 2 ·
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2

Undergrad Fourier transform of a sum of shifted Gaussians

  • Kavorka
  • · Replies 4 ·
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4

Evaluate Limit: $$\lim_{x\to\infty} (-1)^nn^3 + 2^{-n}$$

  • tmt1
  • · Replies 2 ·
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2

Undergrad Deriving expression as a function of another variable

  • kenef
  • · Replies 6 ·
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6

Integrating e^X - e^-x/e^-x+1 dx

  • markosheehan
  • · Replies 4 ·
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4

Determining whether an integral converges based on comparison

  • tmt1
  • · Replies 6 ·
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6

Undergrad Parametrisation of triangular prism

  • EthanC
  • · Replies 1 ·
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1
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1

Undergrad Legendre polynomials and Rodrigues' formula

  • TimeRip496
  • · Replies 1 ·
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1

How Do You Solve This Integral with \( e \) in the Denominator?

  • tmt1
  • · Replies 4 ·
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4

High School How do you find the limit of this?

  • cgug123
  • · Replies 1 ·
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1

Undergrad Magnetic vector potential of infinite straight wire

  • DavideGenoa
  • · Replies 2 ·
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2

Undergrad Is Cauchy Reimann condition sufficient for complex differentiability?

  • kidsasd987
  • · Replies 4 ·
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4

What is the Gradient of a Function at a Given Point?

  • JProgrammer
  • · Replies 2 ·
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2

242.8.2.8 int x sin (x/5) dx. IBP

  • karush
  • · Replies 4 ·
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4

Undergrad Defining Del in Index Notation: Which Approach is Appropriate?

  • member 428835
  • · Replies 2 ·
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2

Infinite Geometric Series and Convergence

  • karush
  • · Replies 3 ·
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3

Integrate $\int\frac{1}{x(x^2+1)}dx$ - Techniques & Help

  • NotaMathPerson
  • · Replies 6 ·
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6

Undergrad Describing a position vector with polar coordinates.

  • Mr Davis 97
  • · Replies 7 ·
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7

Undergrad Vector Calculus: Divergence of Dyadic AB

  • Mr. Cosmos
  • · Replies 2 ·
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2

What are the normals of a parabola passing through a given point?

  • Theia
  • · Replies 3 ·
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3

How Do I Correctly Apply the Alternating Series Test?

  • chrisgoodie
  • · Replies 1 ·
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1

High School Difference between these functions .

  • Nader AbdlGhani
  • · Replies 13 ·
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13

Calculating the Sum of f(x) from 0 to 2016

  • lfdahl
  • · Replies 3 ·
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3

Graduate Action of an anti-difference operator

  • flower321
  • · Replies 5 ·
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5

Calculate the sum for the infinite geometric series

  • karush
  • · Replies 4 ·
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4

Can You Solve This Definite Integral Challenge with Binomial Expansion?

  • lfdahl
  • · Replies 3 ·
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3

Undergrad Re-derive the surface area of a sphere

  • naomineu
  • · Replies 3 ·
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3

Solving B(ii) Problems: A Quick Guide

  • markosheehan
  • · Replies 4 ·
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4

Proof That Radius of Melting Snowball Decreases Constantly

  • markosheehan
  • · Replies 1 ·
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1

242.7.5.88 1/((X+2)sqrt(x^2+4x+3)) complete the square

  • karush
  • · Replies 2 ·
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2

How to Integrate 4e^x/(16e^2x+25)?

  • karush
  • · Replies 4 ·
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4

Derivative of inverse tangent function

  • karush
  • · Replies 10 ·
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10

How Do You Differentiate a Natural Logarithm Function Like This?

  • karush
  • · Replies 4 ·
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4

Find Limit of $\frac{n^3}{(n + 1)^2}$ as $n$ Approaches ∞

  • tmt1
  • · Replies 1 ·
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1

Undergrad How to Evaluate This Integral Using a Table of Integrals?

  • EngWiPy
  • · Replies 14 ·
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14

Polar Equation to Cartesian Coordinates

  • JProgrammer
  • · Replies 4 ·
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4

Why does the integral of √(a² +x²) need Integration by parts?

  • cbarker1
  • · Replies 2 ·
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2

How have I dropped a factor 2 on the square root of 19?

  • mathlearn
  • · Replies 1 ·
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1

Integration Problem - Can Someone Help?

  • mahmoud shaaban
  • · Replies 2 ·
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2

How Can I Maximize the Area of a Window Using These Equations?

  • markosheehan
  • · Replies 1 ·
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1

Maximizing the area of a triangle

  • markosheehan
  • · Replies 3 ·
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3

Undergrad Intuitively understand the curl formula?

  • yosimba2000
  • · Replies 10 ·
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10

Undergrad If y is a function of x, then x is also function of y?

  • yosimba2000
  • · Replies 3 ·
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3

High School Calculus Project - Requesting Advice

  • Alessandro Angeletti
  • · Replies 2 ·
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2

Finding a limit of multivariable function

  • tmt1
  • · Replies 2 ·
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2

Slope of Tangent line to Polar curve

  • JProgrammer
  • · Replies 2 ·
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2

Undergrad Is this a Definite or Indefinite Integral?

  • Valour549
  • · Replies 10 ·
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10

Integral of sqrt(1+x^2)/x: Help Solving w/ Trig Substitution

  • MarkFL
  • · Replies 5 ·
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5

What Is the Correct U-Substitution for This Integral?

  • karush
  • · Replies 4 ·
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4

Power Series Problem: Solve f(3x) = 1/(1 - 3x)

  • JProgrammer
  • · Replies 2 ·
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2

Undergrad Lagrange multipliers and critical points

  • mr.tea
  • · Replies 7 ·
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7

Undergrad The two equivalent parallel velocity vectors

  • Dinheiro
  • · Replies 3 ·
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3

Determine the location and nature of turning point

  • markosheehan
  • · Replies 3 ·
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3

High School Why mathematicians defined slope?

  • parshyaa
  • · Replies 21 ·
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21

Calculate Upper Bound for $\displaystyle a_{n}$ in Binomial Limit Evaluation

  • juantheron
  • · Replies 1 ·
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1

Undergrad How do you solve the definite integral ∫|x^3-x|dx with limits from -1 to 2?

  • Prasun-rick
  • · Replies 9 ·
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9

Graduate Anyone can have the idea how to solve the log of a power ser

  • flower321
  • · Replies 1 ·
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1

How to Maximize the Volume of a Cylinder with a Given Perimeter?

  • Noah1
  • · Replies 3 ·
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3

Undergrad Need help with derivative notation

  • orion
  • · Replies 4 ·
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4

High School Limit Existence: Finding a Function's Behavior

  • Gurasees
  • · Replies 1 ·
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1

Graduate Derivative of log of normal distribution

  • perplexabot
  • · Replies 9 ·
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9

Why is this Maclaurin series incorrect?

  • tmt1
  • · Replies 1 ·
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1
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2

Undergrad What is the y-limit of the inverse tangent function?

  • LtIvan
  • · Replies 7 ·
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7

High School How does the delta ε definition prove derivatives?

  • INTP_ty
  • · Replies 9 ·
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9

Undergrad A limits problem (fractal initiator & generator)....

  • Look
  • · Replies 86 ·
3
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86

Is the Integral of ${x}^{2}/({x}^{5}+2)$ Convergent or Divergent?

  • karush
  • · Replies 5 ·
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5
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4

Undergrad Linearizing vectors using Taylor Series

  • SPFF
  • · Replies 3 ·
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3

Undergrad Volume of sphere using integration?

  • Prasun-rick
  • · Replies 20 ·
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20

UHWO s6.7.r.35 - Integral with substitutions

  • karush
  • · Replies 3 ·
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3

Undergrad What is the Lagrange Multiplier

  • Samia qureshi
  • · Replies 5 ·
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5

Undergrad Determine the indefinite integral

  • Koen crawford
  • · Replies 2 ·
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2

High School Does a tangent to a curve touch at 2 identical points?

  • grzz
  • · Replies 8 ·
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8

Undergrad A question about the log of a rational function

  • mmzaj
  • · Replies 9 ·
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9

Undergrad Open interval (set) end points and differentiability.

  • kidsasd987
  • · Replies 11 ·
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11

Integrating Trigonometric Functions with Powers and Substitution

  • karush
  • · Replies 3 ·
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3

Undergrad Does this go to 0 for large enough x?

  • ChrisVer
  • · Replies 8 ·
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8

Undergrad Is a function better approximated by a line in some regions?

  • Soren4
  • · Replies 4 ·
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4

Undergrad Differentiation is Exact or Approximation

  • Devil Moo
  • · Replies 2 ·
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2
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6

What is the Integral Expansion for UHWO 242?

  • karush
  • · Replies 5 ·
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5

Undergrad Is there a mistake in the second equation of (5.139)?

  • Happiness
  • · Replies 1 ·
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1

Polynomial approximation of e to the x

  • tmt1
  • · Replies 1 ·
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1

High School Can you perform algebra on derivatives?

  • INTP_ty
  • · Replies 5 ·
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5

Undergrad Inconsistencies in the concept of limits

  • Valour549
  • · Replies 17 ·
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17

Are Maclaurin Series an Expansion of a Function About 0?

  • physiclawsrule
  • · Replies 2 ·
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2

High School Integral test and its conclusion

  • The Subject
  • · Replies 5 ·
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5

How do I find the MacLaurin series for $\frac{1}{1 - 2x}$?

  • tmt1
  • · Replies 4 ·
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4

What is the Integral of Sin(x)/(x^2+1) from -1 to 1?

  • karush
  • · Replies 5 ·
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5

Finding the value at which the series converges

  • tmt1
  • · Replies 1 ·
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1

Finding the function of a maclaurin series

  • tmt1
  • · Replies 1 ·
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1