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

Convergence and Divergence - Calculus 2

  • balloonhf
  • · Replies 5 ·
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5
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1

Graduate Confirming a Summation Identity

  • eddybob123
  • · Replies 2 ·
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2

Undergrad Is the Combination of Sin Functions an Even Function?

  • yungman
  • · Replies 3 ·
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3

Calculate Taylor Series of f^{(18)}(0)

  • Petrus
  • · Replies 12 ·
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12

Tackling Taylor Series with f(x)=sin(x^3)

  • Petrus
  • · Replies 18 ·
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18

Undergrad Does the series k a^k have a name?

  • zeroseven
  • · Replies 2 ·
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2

Undergrad Two-Variable Optimisation Confusion

  • JoshMaths
  • · Replies 2 ·
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2

Solution to Double Integral Problem

  • TheArun
  • · Replies 9 ·
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9

Solid of revolution vs. area below 1/x

  • SweatingBear
  • · Replies 3 ·
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3

Undergrad Ordinary vs. partial derivatives

  • DiracPool
  • · Replies 1 ·
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1

Convergence of integral for $0 \le a <1$

  • polygamma
  • · Replies 1 ·
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1

Is the Integral of (x-2)^3 from 0 to 4 Undefined?

  • Petrus
  • · Replies 11 ·
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11

Undergrad Newton and Leibniz approach to differentiation

  • DeeAytch
  • · Replies 4 ·
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4

Undergrad Testing Algorithm for Global Minima of Test Functions

  • Old Monk
  • · Replies 1 ·
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1

Tangent equation for two points.

  • Petrus
  • · Replies 8 ·
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8

Graduate Extremly long Definite triple integral

  • NamDogg
  • · Replies 4 ·
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4

Undergrad Solving Improper Integral: \int_0^{\infty}\frac{1}{x(1+x^2)}

  • Denisse
  • · Replies 4 ·
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4

Undergrad Why L' Hospital's rule cannot apply directly for sequence

  • Kenji Liew
  • · Replies 3 ·
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3

Undergrad Simplifying ln(e^(-8.336/10c))

  • rlm42
  • · Replies 3 ·
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3

Finding the Length of TN on a Tangent of the Curve y = x^2

  • Niall1
  • · Replies 1 ·
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1

Graduate Analytically Solving Complex Expressions with Wolfram Alpha

  • Office_Shredder
  • · Replies 6 ·
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6

Area finite region bounded by the curves

  • Petrus
  • · Replies 2 ·
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2

Lagrange Multipliers: Find Extrema of f(x,y)=x^2y

  • GWR309
  • · Replies 6 ·
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6

Find Tangent Line w/ Definite Integral - Amy's Question

  • MarkFL
  • · Replies 1 ·
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1

GWR309's question at Yahoo Answers regarding Lagrange multipliers

  • MarkFL
  • · Replies 5 ·
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5

How to differentiate absolute value of multivariable function?

  • Petrus
  • · Replies 11 ·
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11

How Can Rocket Fuel Expulsion Maximize a Car's Kinetic Energy?

  • Carla1985
  • · Replies 12 ·
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12

Why is my derivative answer wrong?

  • veronica1999
  • · Replies 10 ·
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10

Undergrad Proving/deriving first fundamental theorem of calc

  • 1MileCrash
  • · Replies 6 ·
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6

Interpolating polynomials and numerical integration errors

  • f00lishroy
  • · Replies 1 ·
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1

Integrate Sine and Square root Composite Function

  • Petrus
  • · Replies 4 ·
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4

Calculus parody song in the style of Bohemian Rhapsody

  • masters1
  • · Replies 3 ·
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3

Undergrad When we take a differential area dxdy do we assume that dy=dx?

  • gikiian
  • · Replies 7 ·
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7

Graduate Calculus of variations for known derivative on both extremes

  • Gux
  • · Replies 5 ·
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5

SW1986's question at Yahoo Answers regarding a solid of revolution

  • MarkFL
  • · Replies 1 ·
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1

Proving a Cesàro limit

  • Opalg
  • · Replies 1 ·
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1

Finding the domain of k for arcsin(x) + arcsin(k) = π/2

  • SweatingBear
  • · Replies 5 ·
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5

Johnathan's question at Yahoo Answers (Power series representation)

  • Fernando Revilla
  • · Replies 1 ·
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1
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1

Graduate Asymptotic behavior of a power series near its branch point

  • Mute
  • · Replies 3 ·
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3

Graduate Limit of the Euler totient function

  • henpen
  • · Replies 4 ·
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4

Limit of (5^x - 25)/(x - 2) as x approaches 2

  • Chipset3600
  • · Replies 6 ·
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6

Graduate Changing the order of different kinds of sums

  • Mandelbroth
  • · Replies 2 ·
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2

Joanne 's question at Yahoo Answers (Interval of convergence)

  • Fernando Revilla
  • · Replies 1 ·
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1

Graduate Proving complex exponentials are orthogonal.

  • eas123
  • · Replies 2 ·
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2

Graduate Why are the two curvature formulas different?

  • Nikitin
  • · Replies 3 ·
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3

Graduate Why can you rearrange curly d partial derivatives like regular differentials?

  • Gauss M.D.
  • · Replies 1 ·
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1

How Can I Prove that the Real Root of a Given Polynomial Equals 3?

  • anemone
  • · Replies 17 ·
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17

Undergrad Using Curl to determine existence of Potential Function

  • Ineedahero
  • · Replies 3 ·
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3

Implicit surface area, sphere cut by two plane

  • skate_nerd
  • · Replies 2 ·
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2

Can Different Parameterizations Yield the Same Line Integral Value?

  • dgiroux48
  • · Replies 2 ·
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2

Josh's question at Yahoo Answers regarding implicit differentiation

  • MarkFL
  • · Replies 1 ·
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1

Undergrad Sphere surface area and radius

  • Paintjunkie
  • · Replies 10 ·
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10

Triple integral with √(x²+y²)z⁴e^(z⁴) over cone region

  • laura1231
  • · Replies 3 ·
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3

Nick's question at Yahoo Answers (Maclaurin series)

  • Fernando Revilla
  • · Replies 1 ·
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1

Optimization problem with constraint

  • MarkFL
  • · Replies 4 ·
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4

Graduate Can you use imaginary numbers in trig substitution for √(x²-1)?

  • cragar
  • · Replies 6 ·
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6

Undergrad Relating to period of a function.

  • M. next
  • · Replies 6 ·
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6

How Can I Solve This Limit Without L'Hospital's Rule?

  • Chipset3600
  • · Replies 3 ·
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3

Graduate Integrating directly from a pair of diff.eqs. without solving them

  • zeroseven
  • · Replies 2 ·
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2

Undergrad How to determine all points of intersection in a polar coordinate

  • ehabmozart
  • · Replies 2 ·
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2

Graduate How can I calculate the integral for 1/r grad 1/r?

  • Jano L.
  • · Replies 2 ·
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2

Definite integral involving the natural log function

  • bmanmcfly
  • · Replies 5 ·
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5

What is the area between two curves given by y=2x^2+10 and y=4x+16?

  • akbarali
  • · Replies 2 ·
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2

Approximate Integral Using Midpoint Rule

  • akbarali
  • · Replies 1 ·
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1

Calculus Spotlight Angle Question

  • akbarali
  • · Replies 21 ·
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21

Graduate Functions having the same integral are equal

  • Bipolarity
  • · Replies 2 ·
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2

Graduate Is there a way to determine if an integral exists for a non-elementary function?

  • zeroseven
  • · Replies 7 ·
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7

Undergrad Limit Calculation for Radical Functions

  • SherlockOhms
  • · Replies 9 ·
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9

Fundamental Theorem of Calculus Questions

  • akbarali
  • · Replies 6 ·
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6

What is the Relationship Between Pressure and Volume in the Ideal Gas Law?

  • akbarali
  • · Replies 2 ·
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2

Don's question at Yahoo Answers (Taylor series)

  • Fernando Revilla
  • · Replies 1 ·
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1

Rate of change of equivalent resistance in parallel resistors

  • MarkFL
  • · Replies 2 ·
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2

Coordinate transformation derivatives

  • topsquark
  • · Replies 11 ·
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11

Undergrad Taylor's formula for two variables

  • Nikitin
  • · Replies 4 ·
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4

Undergrad Total derivative to partial derivative by division? (Calc./Thermo.)

  • zircons
  • · Replies 4 ·
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4

Undergrad Divergent Series: Finding the Largest Value of n

  • eddybob123
  • · Replies 1 ·
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1

Michael h's question at Yahoo Answers (Sum of a series)

  • Fernando Revilla
  • · Replies 1 ·
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1

Graduate Proof of limit derivation of Natural Logrithm

  • cmcraes
  • · Replies 3 ·
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3

Undergrad Why does the lim Δx →0 change the ≈ to =?

  • aclark609
  • · Replies 7 ·
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7

Undergrad Fourier Series: Can even functions be changed to odd?

  • thelema418
  • · Replies 3 ·
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3

Graduate How Can These Two Integral Identities Be Proven?

  • jarvisyang
  • · Replies 4 ·
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4

Joey e's questions at Yahoo Answers regarding solids of revolution

  • MarkFL
  • · Replies 1 ·
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1

Graduate What is the Error in Calculating the Integral of Dot Product?

  • gespex
  • · Replies 3 ·
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3

Undergrad Volume of a sphere by circle-areas

  • Nikitin
  • · Replies 1 ·
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1

Graduate Calculating flux through a surface area

  • dan38
  • · Replies 2 ·
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2

Graduate Why is the directional derivative zero along a level curve tangent vector?

  • Ryuzaki
  • · Replies 3 ·
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3

Graduate Octagonal Cross Section with Parabolically Increasing Span

  • cmmcnamara
  • · Replies 6 ·
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6

Finding the area between two curves

  • MarkFL
  • · Replies 1 ·
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1

Calculating the Value of (1+i)^56

  • Petrus
  • · Replies 18 ·
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18

Undergrad Volume beneath a two-dimensional polynomial

  • Billy70
  • · Replies 4 ·
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4

Graduate Is Stokes' Theorem Intuitively Satisfying and Accurate?

  • Nikitin
  • · Replies 3 ·
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3

Integral of 4ln(e^x)e^(-2x²) from 0 to 1

  • bmanmcfly
  • · Replies 7 ·
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7

Graduate Question on limits and little-o notation

  • mnb96
  • · Replies 5 ·
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5

Undergrad Integrals with Common Fractions and Area Under Graph

  • Brokenhope`
  • · Replies 10 ·
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10

Graduate Integral of a function gives me acrtan(2cot(x)). How to evaluate this?

  • anj16
  • · Replies 4 ·
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4

Undergrad Proving e = lim(1+1/n)^n using binomial expansion and factorials

  • Paul_G
  • · Replies 5 ·
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5

Is there any easy trick for solving this integral?

  • skate_nerd
  • · Replies 12 ·
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12

High School Implicit differentiation of y/(x-y) = x² + 1

  • playdohh
  • · Replies 3 ·
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3