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 Integral of polynomial to some power

  • Wiemster
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Undergrad Understanding Rolle's Theorem: Continuity & Differentiability

  • omri3012
  • · Replies 4 ·
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4

Undergrad Too bad we can't represent vectors with dots?

  • rockyshephear
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2

Graduate Which rules/theorems should you be able to prove?

  • Dafe
  • · Replies 6 ·
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6

Undergrad Parametric Equations - Finding Tangent Lines

  • r34racer01
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1

Graduate Can a Dense Subspace Be of the 1st Category?

  • redrzewski
  • · Replies 2 ·
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Undergrad Proving that 1/(x+1) is continuous at x=0 using epsilon-delta def.

  • blackcat
  • · Replies 10 ·
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10

Undergrad Can You Find a Root of f(x) with Only f(x_1)==y and f ' (x)?

  • soandos
  • · Replies 16 ·
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16

Graduate Understanding the Cross Product and Its Role in Magnetism

  • rockyshephear
  • · Replies 16 ·
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16

Graduate Laurent expansions with only one factor in the denominator of the function

  • caramello
  • · Replies 1 ·
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1

Graduate What is the difference between Hilbert Spaces and other metric spaces?

  • Newtime
  • · Replies 7 ·
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7

Graduate Vector calculus identities proof

  • daudaudaudau
  • · Replies 7 ·
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7

Graduate How Do You Evaluate an Integral Using a Jacobian and Change of Variables?

  • quantumkiko
  • · Replies 1 ·
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1

Undergrad Integration using series expansion

  • prasoonsaurav
  • · Replies 1 ·
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1

Graduate What does the triple integral of a function represent graphically in 4D?

  • GRB 080319B
  • · Replies 2 ·
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Undergrad Can You Integrate f(x)=40*e^(-0.5x) Using the u-Substitution Method?

  • chevy900ss
  • · Replies 3 ·
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3

Graduate Even function has a Laurent decomposition of even functions and even powers of z

  • caramello
  • · Replies 3 ·
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3

Undergrad How to Derive Formulas for a Frustum Based on Triangle Similarities?

  • bannakapil
  • · Replies 1 ·
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1

Graduate How Do You Expand Power Series for Complex Functions?

  • caramello
  • · Replies 5 ·
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5

Graduate Series Representation for sin(x)/(cos(x)+cosh(x)) Valid for 0<x?

  • rman144
  • · Replies 3 ·
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3
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13

Graduate Can Factoring Out a Negative One Affect the Convergence of a Taylor Series?

  • ronaldor9
  • · Replies 7 ·
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7

Graduate Integral equation with unknown kernel?

  • benjaminmar8
  • · Replies 4 ·
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4

Graduate Zeta function for complex argument

  • zetafunction
  • · Replies 1 ·
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1

Graduate Optimizing the ratio of two integrals

  • aetherane
  • · Replies 3 ·
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3

Undergrad Expressing limits mathematically

  • Mentallic
  • · Replies 18 ·
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18

Graduate Calculating this difficult integral (equation of a circle)

  • Mad_MechE
  • · Replies 3 ·
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3

Graduate Is the Derivative of a Multivariable Function Lipschitz?

  • WastedGunner
  • · Replies 2 ·
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2

Graduate Find the function for this Taylor series

  • rman144
  • · Replies 5 ·
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5

High School Next number in sequence, or pattern of sequence.

  • rokstar84
  • · Replies 2 ·
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2

Graduate How to compute logarithm of orthogonal matrix?

  • jostpuur
  • · Replies 8 ·
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8

Undergrad Looking for a good webpage with different coordinate systesms

  • foges
  • · Replies 1 ·
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1

Graduate Use of state space equations to model a dynamic system

  • Cyclops
  • · Replies 8 ·
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8

Graduate Solving a limit problem using the definition of convergence

  • Math451
  • · Replies 12 ·
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12

Undergrad What is the correct centroid for a semicircle?

  • lizzyb
  • · Replies 1 ·
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1

Undergrad Derivative of a sum of functions, also cubic graph roots

  • James...
  • · Replies 2 ·
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2

Undergrad Are Higher Dimensions Necessary or Just Imaginary Concepts?

  • Mentallic
  • · Replies 9 ·
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Undergrad Problem differentiating exponential function in Maxima

  • bitrex
  • · Replies 2 ·
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2

Graduate Teylor expantion of ln(1-e^-x)^-1

  • zendani
  • · Replies 5 ·
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Undergrad Proving an+1 < an: A Derivative or Logical Approach?

  • ronaldor9
  • · Replies 9 ·
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9

Undergrad 1-2+3-4 divergent series confusion

  • icosane
  • · Replies 12 ·
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12

Undergrad Intermediate Value Theorem : Is this version correct?

  • Legendre
  • · Replies 2 ·
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2

High School How do you find the derivative of a function involving square roots?

  • the1024b
  • · Replies 11 ·
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11

Undergrad Find Overall Gradient from dz/dx & dz/dy

  • Faken
  • · Replies 3 ·
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3

Graduate Understanding the total derivative in terms of analysis

  • Tac-Tics
  • · Replies 8 ·
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8

Undergrad Re-create missing negative frequencies?

  • fleem
  • · Replies 3 ·
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3

Graduate Can the outer measure be non-countably additive?

  • symbol0
  • · Replies 4 ·
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4

Undergrad Showing skew lines lie in parallel planes

  • mikemichiel
  • · Replies 2 ·
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2

Undergrad What are the first principles of integration?

  • Mentallic
  • · Replies 3 ·
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3

Undergrad Why do you calculate the area UNDER a curve with integration?

  • user111_23
  • · Replies 3 ·
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3

Graduate Nonconservative gradients (not an oxymoron)

  • okkvlt
  • · Replies 3 ·
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3

Undergrad How do I find f'(1) using implicit differentiation?

  • SSUP21
  • · Replies 4 ·
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4

Undergrad How is the area under a curve determined using the Fundamental Theorem?

  • DecayProduct
  • · Replies 5 ·
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5

Graduate Real Sequences : Can some terms be undefined?

  • Legendre
  • · Replies 4 ·
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4

Graduate Divergent Series: Rearranging for Convergence?

  • JG89
  • · Replies 1 ·
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1

Undergrad What is the Difference Between a Vector Space and a Coordinate Space?

  • angryfaceofdr
  • · Replies 6 ·
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6

Graduate What are the mathematical origins of i^i=e^(pi/2)?

  • thharrimw
  • · Replies 5 ·
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5

Graduate What is the definition of exponentiation?

  • Mentallic
  • · Replies 12 ·
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12

Undergrad Negative Derivative: Learn Meaning & Examples

  • EngWiPy
  • · Replies 2 ·
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2

Graduate Why Can't η'(x) Be Arbitrary in the Euler-Lagrange Equation?

  • daudaudaudau
  • · Replies 2 ·
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2

Graduate Power rule valid for any complex exponents?

  • lolgarithms
  • · Replies 1 ·
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1

Graduate Conditional expectation and Least Squares Regression

  • piolo
  • · Replies 1 ·
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1

Graduate Change of Variables in Multiple Dimensions

  • romistrub
  • · Replies 3 ·
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3

Undergrad Definite Integral and Summation Equivalence

  • DJ24
  • · Replies 3 ·
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3

Graduate What is the derivative of a quaternion with a changing unit vector?

  • nburo
  • · Replies 21 ·
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21

Graduate Is R^w a first category topological vector space?

  • redrzewski
  • · Replies 4 ·
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4

Undergrad Partial derivatives of f(x)*(f(y)+f(z))?

  • SirTristan
  • · Replies 4 ·
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4

High School Continuity of a discrete function

  • peeyush_ali
  • · Replies 7 ·
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7

Graduate When Is the Reversal of Limits Valid?

  • 22/7
  • · Replies 1 ·
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1

Undergrad Where Can I Learn About the Construction of Number Systems?

  • BustedBreaks
  • · Replies 2 ·
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2

Graduate What is the concept of area and definite integration in advanced mathematics?

  • DJ24
  • · Replies 4 ·
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4

Undergrad Algebraic Operations on Differentials in Liebniz Notation: An Abuse?

  • IniquiTrance
  • · Replies 115 ·
4
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115

High School Differentiation With 'x' Both in Base and in Exponent

  • modulus
  • · Replies 4 ·
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4

Graduate Double integral bounded by closed parametric curve

  • okkvlt
  • · Replies 3 ·
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3

Graduate Why Are There No Interior Points in the Set of Real Numbers?

  • omri3012
  • · Replies 7 ·
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7

Undergrad Why can't the trig identity be used to simplify this integral?

  • djeitnstine
  • · Replies 2 ·
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2

Graduate How can I find the tangential derivative of a function at a given point?

  • Crot
  • · Replies 5 ·
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5

Graduate What is the intuitive definition of a subsequence?

  • Newtime
  • · Replies 5 ·
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5

Graduate Hypercomplex numbers (a+bi with a,b hyperreal)

  • lolgarithms
  • · Replies 1 ·
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1

Undergrad Solving Limits: $\lim_{x\rightarrowy}\frac{sin{x}-sin{y}}{x-y}

  • Laven
  • · Replies 4 ·
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4

Undergrad Can L'Hôpital's Rule Be Used for Non-Indeterminate Forms?

  • Laven
  • · Replies 1 ·
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1

Undergrad Proving that a certain f(x) can't be zero by differentiating

  • karkas
  • · Replies 6 ·
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6

Graduate Boundary of open set always zero measure?

  • jostpuur
  • · Replies 6 ·
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6

Graduate Cross product of a vector and its derivative

  • nburo
  • · Replies 2 ·
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2

Undergrad Understanding How Closed Curves Work in Maths

  • GrizzlyBat
  • · Replies 12 ·
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12

Undergrad Lim sq.rt x[sqrt x - sqrt (x-a)] x->infinity

  • Laven
  • · Replies 9 ·
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9

Undergrad Rate of Convergence: Definition, Calculus & Examples

  • petermer
  • · Replies 7 ·
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7

Graduate Quotient criteria and the harmonic series

  • foges
  • · Replies 5 ·
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5

Undergrad Does derivative have to be piecewise continous

  • causalset
  • · Replies 2 ·
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2

Undergrad How to Combine SUVAT and Calculus for Falling Objects with Air Resistance?

  • fereak
  • · Replies 16 ·
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16

Graduate Appealing to Mathematical Intuition

  • romistrub
  • · Replies 2 ·
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2

Graduate Showing that a function is C infinity?

  • Skynt
  • · Replies 10 ·
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10

Graduate Rate of lim exp(x) ~? rate of lim exp(-x)

  • BCox
  • · Replies 5 ·
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5

Graduate Complex Conjugates: f*(z) = f(z*)

  • BackEMF
  • · Replies 5 ·
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5

Graduate Taylor series radius of convergence and center

  • azay
  • · Replies 1 ·
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1

Graduate How can gradient be zero if its a normal vector?

  • aaryan0077
  • · Replies 1 ·
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1

Undergrad How can arctan(x) be expressed using logs?

  • cragar
  • · Replies 6 ·
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6

Graduate Velocity with respect to acceleration

  • Zman
  • · Replies 5 ·
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5

Graduate Double integral variable separation

  • rman144
  • · Replies 1 ·
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1

Undergrad Partial Fraction Integration: Proving the Linear Factor Rule

  • The Anomaly
  • · Replies 2 ·
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2