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 How to Rotate a Surface Area about the Y-Axis?

  • Tarpie
  • · Replies 1 ·
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Graduate Proving properties of the Dirac delta function

  • "Don't panic!"
  • · Replies 2 ·
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2

Volume of Liquid: Proving $\overrightarrow{v}\cdot\overrightarrow{n}$

  • mathmari
  • · Replies 2 ·
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2

Remainder Estimate for Integral Test

  • Pull and Twist
  • · Replies 5 ·
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5

What is the general solution for the power series in Calculus 2?

  • joku1234
  • · Replies 6 ·
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6

Undergrad What is the integral of sqrt(ln(x))

  • Emmanuel_Euler
  • · Replies 5 ·
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5

Undergrad Integral of cos(1/x) dx: Solution

  • Emmanuel_Euler
  • · Replies 3 ·
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3

Graduate Definite Integral of Definite Integral

  • andyrk
  • · Replies 11 ·
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11

Graduate What is the most difficult integral to solve?

  • Emmanuel_Euler
  • · Replies 1 ·
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1

How do we prove the rule for differentiable curves in 3D?

  • mathmari
  • · Replies 8 ·
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8

How do you calculate limits in two variables?

  • mathmari
  • · Replies 5 ·
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5
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3

Graduate What is integral of ln(abs(sin(x)))dx

  • Emmanuel_Euler
  • · Replies 1 ·
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1

Graduate Mathematica code for multinomial expansion

  • nikozm
  • · Replies 4 ·
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4

Graduate Infinitesimals as interval limits in integration

  • cubic
  • · Replies 10 ·
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10

Undergrad Graphical interpretation of a double integral?

  • beer
  • · Replies 7 ·
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7

Indefinite integral using trig substitutions

  • karush
  • · Replies 12 ·
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12

Find maximum integral value of k

  • anemone
  • · Replies 2 ·
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2

Delta-epsilon proof for limit of (y³ + 5x²y)/(y² + 3x²y²)

  • Steve1231
  • · Replies 1 ·
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1

Volume about x axis using cylindrical shells

  • karush
  • · Replies 3 ·
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3

Graduate Generalizing the relation between H(x), F(x) and G(x)

  • andyrk
  • · Replies 4 ·
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4

Undergrad How can you maximize the volume of a box made from a rectangular sheet?

  • Trrizzy
  • · Replies 1 ·
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1
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Undergrad Implicit Differentiation: Differentiating in Terms of X

  • Drakkith
  • · Replies 7 ·
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7

Graduate Why Are Assumptions Critical in the Limit of Composite Functions?

  • sonofagun
  • · Replies 4 ·
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4

Undergrad Can different weights help determine the difference between two functions?

  • member 428835
  • · Replies 3 ·
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3

Graduate Discretizing Integrals for Scientists

  • VictorVictor5
  • · Replies 6 ·
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6

Graduate Why Does the Projection of a Jinc Result in a Sinc?

  • Wxfsa
  • · Replies 1 ·
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1

Undergrad Limit of tan(x)/x as x approaching zero

  • terryds
  • · Replies 7 ·
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7

Is this a typo in an integral of a fraction problem?

  • anthonyk2013
  • · Replies 25 ·
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25

Undergrad Integration using Euler Substitution

  • bamajon1974
  • · Replies 10 ·
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10

Graduate Finding intersection points of y=x² and x=2sin²(y)

  • FuturEngineer
  • · Replies 1 ·
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Undergrad Method of exhaustion for parabolic segment in Apostol

  • Srichan
  • · Replies 8 ·
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8

Having trouble with the Laplace Transform

  • shamieh
  • · Replies 2 ·
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2

Undergrad Where Do I Start? Deriving Equations of Motion

  • jeff0928
  • · Replies 3 ·
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3

Undergrad What Does the Double Integral ∫ ∫ f(x,y) dx dy Represent?

  • uzman1243
  • · Replies 5 ·
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5

Calculating Volume of a Hollow Sphere w/ Differentials

  • Dethrone
  • · Replies 2 ·
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2

High School Real life application of calculus

  • Eltahawy
  • · Replies 4 ·
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4

Three vectors are on the same plane

  • mathmari
  • · Replies 2 ·
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Undergrad Is the Length of an Arc Equal to its Straight Line Distance?

  • Vinay080
  • · Replies 9 ·
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9

Minimum of the Sum of Logarithms

  • anemone
  • · Replies 2 ·
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2

Solving a Difficult Integral: Evaluating \int_{C}^{} \,d \frac{x^3}{y} ds

  • AngryStyro
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2

Undergrad Plus-Minus Symbol In This Trig. Equation

  • ecoo
  • · Replies 5 ·
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5

Graduate How to show the following summation is true?

  • Bishop556
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Find Maximum $(xyz)^2$ Given $x+y+z=0, x^2+y^2+z^2=2015$

  • anemone
  • · Replies 2 ·
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2

Graduate Lagrange multipliers for constrained variational problems in n dimensions

  • MisterX
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1

Undergrad How Do You Calculate the Centroid of an Integrated Area?

  • jennyp
  • · Replies 1 ·
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1

Graduate Sum of exponentials: non-iterative approximate solution?

  • lavoisier
  • · Replies 4 ·
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4

Integral completing the square, next steps?

  • karush
  • · Replies 10 ·
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10

High School Struggling with the chain rule in Calc 1

  • Drakkith
  • · Replies 20 ·
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20

Graduate Summation of exponential terms

  • A_s_a_d
  • · Replies 3 ·
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Graduate Integration : Mapping Smoothly (-inf, 2] to [0.1,0.9]

  • Hepth
  • · Replies 1 ·
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1

Does the Limit Exist? Check to Find Out!

  • mathmari
  • · Replies 2 ·
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2

Undergrad Problem with finding volume using shells

  • asadpasat
  • · Replies 1 ·
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1

Undergrad Advanced Calculus Extra Credit Suggestions

  • KevinMWHM
  • · Replies 1 ·
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1

Graduate Solving Riemann Sum for "Deformation of Water by Magnetic Field

  • subzero0137
  • · Replies 1 ·
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Undergrad Limits involving absolute values

  • PFuser1232
  • · Replies 2 ·
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2

Graduate Constrained Extrema and Lagrange Multipliers

  • throneoo
  • · Replies 1 ·
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1

Undergrad Finding the first derivative of periodic tube profile points

  • nazmulislam
  • · Replies 5 ·
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5

Undergrad Proof that a continuous function from [0,1] to [0,1] has a fixed point

  • Ananya0107
  • · Replies 3 ·
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3

Undergrad Integrating e^-x sin(nπx) using parts

  • JI567
  • · Replies 2 ·
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2

Solving Limits Using De L'Hospital's Rule

  • bahadeen
  • · Replies 1 ·
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1

Undergrad Derive the nth term of a sequence

  • Aceix
  • · Replies 5 ·
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5

Convergence of tan(x), tan(2x), tan(3x), ... for x in (-90°, 90°)

  • Alexeia
  • · Replies 2 ·
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2

Show δn = (sin nx) / (pi x) is a delta distribution

  • ognik
  • · Replies 8 ·
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8

Graduate Can an alternating series with decreasing terms converge to zero?

  • member 428835
  • · Replies 6 ·
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6

Graduate Why does substituting u'=1/u in integral limits give the wrong answer?

  • Wminus
  • · Replies 3 ·
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3

Undergrad How Do You Integrate 1/(x^2+80x+1600)?

  • Daniel Tyler
  • · Replies 3 ·
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3

Undergrad Vortex shedding integral from ASME STS-1-2006

  • danielruffle
  • · Replies 7 ·
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7

Undergrad Differentiability of the absolute value of a function

  • PFuser1232
  • · Replies 12 ·
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12

Graduate The limit of xye^-(x+y)^2 when x^2+y^2 approach infinity

  • Mahathepp
  • · Replies 3 ·
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3

Undergrad Partial Fractions: Decomposing a Rational Function

  • PFuser1232
  • · Replies 3 ·
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3

Undergrad Proof of integration power rule

  • acegikmoqsuwy
  • · Replies 3 ·
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3

Graduate Definite integral of greatest integer function

  • andyrk
  • · Replies 20 ·
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20

Graduate How Does f(0) = a_0 When x^0 = 1 Only for Nonzero x?

  • PFuser1232
  • · Replies 4 ·
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4

Integrating $\sin^3\left({x}\right)\cos\left({x}\right)dx$: Solution

  • karush
  • · Replies 5 ·
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5

Undergrad Tricky Intregral for numerical quadrature

  • ognik
  • · Replies 21 ·
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21

How to Parametrize an Ellipse in Cartesian Coordinates?

  • mathmari
  • · Replies 8 ·
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8

Is the Curve a Line or a Point with Zero Acceleration?

  • mathmari
  • · Replies 2 ·
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2

Show that the point satisfies the conditions

  • mathmari
  • · Replies 4 ·
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4

Archimedes' pi estimation formula for doubled polygon sides

  • nacho-man
  • · Replies 4 ·
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4

Graduate Proving the reciprocal relation between partial derivatives

  • "Don't panic!"
  • · Replies 1 ·
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1

Evaluating Integrals for 5th and 4th order polynomials

  • labrat1
  • · Replies 2 ·
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2

Undergrad Write this integral in terms of gamma function

  • eprparadox
  • · Replies 1 ·
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1

Undergrad Double Integrals in Polar Coordinates

  • geezer73
  • · Replies 12 ·
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12

Undergrad Properties of Integrals and differentials

  • andyrk
  • · Replies 11 ·
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11

Graduate Symmetry in second order partial derivatives and chain rule

  • powerof
  • · Replies 1 ·
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1

Graduate Reducing the function of a function to the ind. variable

  • END
  • · Replies 10 ·
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10

Undergrad At what point do you need Calculus?

  • BeautifulLight
  • · Replies 5 ·
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5

Undergrad Finding Arc Length of a Curve: Using ##dx## and ##dy##

  • PFuser1232
  • · Replies 3 ·
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3

Why does the equation of the level surface not have ln?

  • bbelson01
  • · Replies 3 ·
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3

Graduate Vector Properties: Does Length Affect Components?

  • nuuskur
  • · Replies 4 ·
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4

Undergrad Why Is the Cross Product Perpendicular to Its Constituent Vectors?

  • global
  • · Replies 26 ·
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26

Level surfaces of f(x,y,z) = x² + y²

  • mathmari
  • · Replies 3 ·
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3

Graduate Calculation of particles by integral

  • nazmulislam
  • · Replies 5 ·
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5

Graduate Integral with log(1+ix) and complex parameter s

  • mmzaj
  • · Replies 1 ·
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1

Cylindrical coordinates - Orthonormal system

  • mathmari
  • · Replies 5 ·
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5

Graduate How can I evaluate a tricky Euler-Maclaurin sum involving hyperbolic functions?

  • FranzDiCoccio
  • · Replies 2 ·
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2

How can we evaluate this indefinite integral of a definite integral?

  • juantheron
  • · Replies 2 ·
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2

Undergrad Calculating Minimum Values for Artificial Gravity in Centripetal Force Wheels

  • julianwitkowski
  • · Replies 7 ·
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7