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

Calculus II: Work Required to Pump Water from Hemispherical Tank

  • MarkFL
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1

Find the integral for pumping water out of a cone-shaped tank.

  • shamieh
  • · Replies 2 ·
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2

Graduate Deriving the surface area equation

  • iScience
  • · Replies 1 ·
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1

Graduate Can the Divergence of a Bessel Integral Be Prevented?

  • tx213
  • · Replies 3 ·
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3

Graduate How Can I Optimize Gas Network Operations in My Master Thesis?

  • Fjolvar
  • · Replies 10 ·
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10

Missing something within integration

  • shamieh
  • · Replies 1 ·
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What is the solution to the definite integral $\int^1_0 x^2 e^x \, dx$?

  • shamieh
  • · Replies 5 ·
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5

Why is \sin\theta = \frac{1}{\sqrt{2}} when \theta = 2?

  • shamieh
  • · Replies 7 ·
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7

How Do You Use Reduction Formulae for tan^n x?

  • shamieh
  • · Replies 2 ·
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2

How to Integrate (x^2 + 2x + 1)sqrt(4x^2 + 8x + 5)?

  • annie122
  • · Replies 4 ·
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4

Practice Problems for Surface Area and Volume of Rotation Integration

  • annie122
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3

Rotation around a curve. Find the Volume.

  • cbarker1
  • · Replies 1 ·
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1

Undergrad Proving the Existence of One-Sided Limits at Maximum Points in Calculus

  • CRichard
  • · Replies 4 ·
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4

What is the classification of this degenerate quadratic surface?

  • Jamie2
  • · Replies 10 ·
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10

Undergrad Primitive, antiderivative and integral

  • Jhenrique
  • · Replies 4 ·
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4

Radius of Sphere Tangent to Two Lines

  • hitachiin69
  • · Replies 2 ·
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2

Undergrad What is the meaning of line integrals?

  • JasonHathaway
  • · Replies 7 ·
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7

How Do You Integrate Trigonometric Functions with Substitution?

  • annie122
  • · Replies 2 ·
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2

Calculating Work to Empty a Trapezoidal Trough: Jessica's Question

  • MarkFL
  • · Replies 1 ·
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1

Graduate Solving the Integral for an Unknown Even Function

  • muzialis
  • · Replies 2 ·
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2

Graduate How do Galilean transforms affect wave equations?

  • mrmojorizing
  • · Replies 2 ·
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2
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1
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1

Undergrad Expressing sum of sines and cosines as a complex exponential

  • MuIotaTau
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1

Undergrad Question about the E-field along center axis of charged ring

  • Loopas
  • · Replies 1 ·
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1

Evaluate the following Integral (II)

  • shamieh
  • · Replies 6 ·
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6

Finding the volume of regions rotated about the x - axis

  • shamieh
  • · Replies 27 ·
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27

Graduate Dot product of vector and del.

  • pyroknife
  • · Replies 2 ·
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2

Graduate Gradient of sphere level fxn with 2 parameters inside the parametric e

  • clairaut
  • · Replies 16 ·
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16

Graduate How to Approach the Fourier Transform of an Annulus?

  • tx213
  • · Replies 2 ·
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2
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1

What is the Integral of Square Root of T over T+1 with Substitution?

  • karush
  • · Replies 4 ·
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4

Is My Integral Evaluation Correct?

  • shamieh
  • · Replies 1 ·
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1

Maximizing the volume of a cone formed by revolving a right triangle

  • leprofece
  • · Replies 6 ·
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6

Undergrad Can you determine this function?

  • Fjolvar
  • · Replies 5 ·
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5

Solving problems using the Average Value function

  • shamieh
  • · Replies 5 ·
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5

Graduate Trouble with Laplace transform of a function

  • imtitanium
  • · Replies 6 ·
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6

Undergrad What is the Derivative of x^sin(x)?

  • noelo2014
  • · Replies 9 ·
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9

Solve Real Roots of $(x-3)^4+(x-7)^4=24832$

  • anemone
  • · Replies 3 ·
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3

Maximizing the volume of a cone formed by cutting a sector from a circle

  • leprofece
  • · Replies 2 ·
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2

Graduate Question about the symmetry of integrals

  • LateToTheParty
  • · Replies 1 ·
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1

Undergrad A deeper understanding of the imaginary number

  • TackyJan
  • · Replies 1 ·
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1

How to Maximize the Volume of a Buoy Made from Two Equal Circular Bases?

  • leprofece
  • · Replies 4 ·
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4

Solving Integral in Picture: Step-by-Step Guide

  • FilipVz
  • · Replies 7 ·
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7

Maximum error for the Lagrange interpolating polynomials

  • mathmari
  • · Replies 8 ·
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8

Finding the area bounded by the curves

  • shamieh
  • · Replies 11 ·
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11

Undergrad Understanding the Computation of Double Integrals: Can You Help?

  • inviziblesoul
  • · Replies 3 ·
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3

Undergrad Level curves (or contour curves) of a certain 3 dimensional function.

  • Almost935
  • · Replies 1 ·
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1
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11

How Do You Calculate When and Where a Car Catches Up to a Truck?

  • leprofece
  • · Replies 11 ·
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11

Integration question (obtained from arc length question)

  • annie122
  • · Replies 1 ·
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1

Using the epsilon and delta definition to prove limit

  • cbarker1
  • · Replies 2 ·
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2

Graduate Power series, formal power series and asymptotic series

  • Avichal
  • · Replies 2 ·
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2

How can we solve these two volume-related questions?

  • annie122
  • · Replies 3 ·
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3

What are the methods for finding the volume of a solid of revolution?

  • annie122
  • · Replies 3 ·
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3

Graduate What is the physical meaning of the dyadic product \vec{a} \vec{b}?

  • member 428835
  • · Replies 3 ·
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3

OliverG's Calculus Q: Estimating Pool Volume w/ Trap Rule

  • MarkFL
  • · Replies 1 ·
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1

Is Integrating 4cos(3x) the Same as 12cos(x)?

  • tmt1
  • · Replies 1 ·
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1

Graduate Can the Difficult Double Integral Be Simplified with Approximate Functions?

  • Jeff.Nevington
  • · Replies 2 ·
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2

S3TAR3H's question at Yahoo Answers regarding marginal revenue

  • MarkFL
  • · Replies 1 ·
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1

How to Solve the Integral of Cos^2(x) Tan^3(x)?

  • shamieh
  • · Replies 10 ·
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10

Deriving Y-Component of Uniform Electric Rod | E=-▽V

  • Quintessential
  • · Replies 1 ·
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1

Integration of tan(x^2), is it possible?

  • Saitama
  • · Replies 2 ·
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2

Integrate sqrt(1 + x^2) / x: Trig Substitution

  • annie122
  • · Replies 4 ·
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4

How do I calculate the Jacobian for a convolution?

  • mathmari
  • · Replies 4 ·
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4

How Can I Integrate x*sqrt(1-x^4) Using Trig Substitution?

  • annie122
  • · Replies 4 ·
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4

Graduate Solving special exponential integral

  • simone8888
  • · Replies 1 ·
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1

Integral Proofs: $|a| \le \frac{\pi}{2}$ and $|a| \le \pi$

  • polygamma
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1
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1

Improper Integrals - Comparison Test

  • ISITIEIW
  • · Replies 5 ·
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5

Integrate f(x)=tan^5(x)/cos^2(x): Get Answer Here

  • Yankel
  • · Replies 5 ·
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5

Graduate Is a Simply Connected, Curl-Free Vector Field Always Conservative?

  • member 428835
  • · Replies 10 ·
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10

Can I Simplify Trigonometric Integrals by Taking out Constants?

  • shamieh
  • · Replies 4 ·
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4

High School Why is natural log abbreviated as ln and not nl ?

  • sheldonrocks97
  • · Replies 8 ·
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8

Integrate by Parts: Solving (xe^(2x))/((1+2x)^2)

  • annie122
  • · Replies 5 ·
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5

Is it possible to evaluate the summation of arctangents in this problem?

  • Saitama
  • · Replies 3 ·
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3

Calculate Volume of Solid of Revolution for y=sinx to y=cosx around y=2

  • MarkFL
  • · Replies 1 ·
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1

Undergrad Can we write Rolle's Theorem this way?

  • nil1996
  • · Replies 4 ·
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4

Undergrad Proof If x^n=y^n , n= odd Then x=y

  • Antonio94
  • · Replies 1 ·
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1

What is the height of a cone's lateral surface minimum confined to a sphere?

  • leprofece
  • · Replies 9 ·
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9

Graduate Limit of x(a,b) as a,b->k: Isolated Variable Method?

  • 1MileCrash
  • · Replies 10 ·
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10

Area of a Cardioid - Littlehime's Question @ Yahoo Answers

  • MarkFL
  • · Replies 1 ·
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1

Level curves: true / false question

  • Yankel
  • · Replies 3 ·
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3

Undergrad Quick question on power series of secant

  • AmagicalFishy
  • · Replies 1 ·
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1

Application to Improper Integrals

  • ISITIEIW
  • · Replies 1 ·
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1

What is the Height of a Cone Confined to a Hemisphere with Given Radius?

  • leprofece
  • · Replies 3 ·
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3

Graduate Solving Gaussian Integral: Stuck on Step

  • smallgirl
  • · Replies 1 ·
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1

Solving u Substitution Problem: Tim's Question

  • tmt1
  • · Replies 2 ·
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2

Evaluating an Integral with Exponential Factors

  • polygamma
  • · Replies 3 ·
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3

How do I simplify this calculus problem?

  • tmt1
  • · Replies 1 ·
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1

Compute Pool Volume: Angeezzzz's Question at Yahoo Answers

  • MarkFL
  • · Replies 1 ·
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1

Graduate How can a summation be accurately transformed into an integral?

  • DrClaude
  • · Replies 5 ·
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5

Undergrad Where Can I Find Recommended Calculus Problems for Exam Preparation?

  • UnD3R0aTh
  • · Replies 6 ·
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6

Undergrad What is the geometric interpretation of the fundamental theorem of calculus?

  • member 428835
  • · Replies 4 ·
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4

Graduate Optimization to find parameters?

  • johnpjust
  • · Replies 5 ·
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5

Sos help with maximum and minimum

  • leprofece
  • · Replies 2 ·
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2

Integral solve by using trig. substitution

  • karush
  • · Replies 11 ·
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11

Undergrad Basic question about numerical hessian

  • pamparana
  • · Replies 1 ·
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1

Show that a linear function is convex

  • mathmari
  • · Replies 8 ·
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8