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

Monica's question at Yahoo Answers regarding Linear Approximation

  • MarkFL
  • · Replies 1 ·
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1

Trig Calculus: Solving y = sin^2(x) / cos^2 (x)

  • tmt1
  • · Replies 2 ·
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2

Why Can't I Integrate \( e^{\sqrt{x}} \) Like \( (3x+5)^{5} \)?

  • Yankel
  • · Replies 3 ·
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3

How to Evaluate the Given Definite Integral?

  • Saitama
  • · Replies 2 ·
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2

Local Extrema of f(x,y)=3sin x sin y

  • MarkFL
  • · Replies 1 ·
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1

Graduate Taylor series in terms of discrete derivative

  • Jhenrique
  • · Replies 2 ·
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2

Undergrad Why Is \cos y Positive When Differentiating \arcsin x?

  • perishingtardi
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1
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4

Graduate Is it Possible to Win Big with Publisher's Clearing House?

  • ClamShell
  • · Replies 9 ·
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9

Max Volume: Finding Constraints, Dimensions

  • rsyed5
  • · Replies 2 ·
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2

How to Minimize the Material for a Boiler with Given Volume?

  • leprofece
  • · Replies 11 ·
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11

Sphere diameter to maximize water displaced when inserted in a cone

  • leprofece
  • · Replies 12 ·
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12

Estimating Oil Production with Simpson's Rule

  • shamieh
  • · Replies 9 ·
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9

Verifying Int. of f(x) Using Trapezoid Rule

  • shamieh
  • · Replies 3 ·
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3

Applying Simpson's Rule with 7 Pieces: Solving the Int.

  • shamieh
  • · Replies 4 ·
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4

Reduction formula instead of using identities for trigonometric integration?

  • aleksbooker1
  • · Replies 1 ·
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1

Graduate Do we have a general solution infinite series for the gamma function?

  • mesa
  • · Replies 6 ·
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6

Graduate Is Convolution and Integration: A True Equality in Mathematics?

  • Jhenrique
  • · Replies 4 ·
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4

Finding inflection points of f(x)=e^(2x)-2e^x

  • linapril
  • · Replies 5 ·
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5

The Strange Behaviour of Numbers Close to Unity

  • Perplexed
  • · Replies 4 ·
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4

Graduate Expanding delta variation in Euler-Lagrange field equations

  • chuchi
  • · Replies 2 ·
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2

Find arc length given chord, radius

  • Ragnarok7
  • · Replies 7 ·
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7

Undergrad Rate of change of area of circle in respect to radius

  • grace77
  • · Replies 5 ·
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5

Definite Integral challenge #2

  • Saitama
  • · Replies 2 ·
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2

Did I make a mistake in evaluating this integral?

  • shamieh
  • · Replies 3 ·
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3

Polynomial Long Division w Integrals

  • shamieh
  • · Replies 4 ·
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4

Can We Use Tan^2 Theta to Solve Trig Substitutions?

  • karush
  • · Replies 3 ·
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3

Mathematical Techniques for Solving the Definite Integral Challenge

  • Saitama
  • · Replies 6 ·
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6

Line through the origin dividing area under parabola in half

  • Tennisgoalie
  • · Replies 1 ·
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1

Cut 16" Pizza into 3 Equal Pieces Using Calculus

  • MarkFL
  • · Replies 4 ·
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4
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2

Finding the area of the loop in a^4 y^2 = x^4(a^2 - x^2)

  • Suvadip
  • · Replies 2 ·
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2

Evaluating a Limit Problem: Computing Integral

  • Saitama
  • · Replies 2 ·
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2

Graduate Is Fubini's Theorem Always Valid?

  • Jhenrique
  • · Replies 1 ·
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1

Graduate Determining a formula for a (sub)sequence

  • smize
  • · Replies 2 ·
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2

Undergrad Does Arctanh Go to Infinity When Its Argument Approaches Infinity?

  • rmiller70015
  • · Replies 1 ·
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1

Volume by slicing problem from Yahoo Answers

  • MarkFL
  • · Replies 1 ·
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1

Proofing the Relation of u, v, x, y, a

  • Yankel
  • · Replies 4 ·
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4

Undergrad Parametric equations for roots

  • Big-Daddy
  • · Replies 1 ·
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1

Evaluating Summation: Find $\sum_{i=1}^{\infty} (-1)^{i+1}f(i)$

  • Saitama
  • · Replies 7 ·
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7

High School Should you use the chain rule for differentiating 6√(x⁵)?

  • JessicaJ283782
  • · Replies 2 ·
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2

Second derivative with chain rule

  • Yankel
  • · Replies 2 ·
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2

Graduate Series Expansion of 1/Polynomial

  • Hepth
  • · Replies 5 ·
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5

Normalization of a gaussian wavefunction

  • skate_nerd
  • · Replies 4 ·
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4

Can the derivative of the given integral be simplified to -A?

  • Suvadip
  • · Replies 8 ·
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8

Cat's question at Yahoo Answers regarding approximate integration

  • MarkFL
  • · Replies 1 ·
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1

What is the identity used to rewrite fractions in calculus?

  • shamieh
  • · Replies 8 ·
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8

Undergrad Does a limit exist at a point of discontinuity?

  • grace77
  • · Replies 6 ·
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6

Undergrad Why doesn't my method for integrating sinxcosx work?

  • wahaj
  • · Replies 5 ·
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5

Undergrad Why Don't Odd Integrals Necessarily Converge Over Infinite Symmetric Domains?

  • member 428835
  • · Replies 3 ·
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3

Path independence of line integrals and conservative vector fields

  • evinda
  • · Replies 5 ·
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5

Graduate Why does 1+2+3+4+... equal −1/12 if the series diverges?

  • fargoth
  • · Replies 4 ·
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4

High School Why Does the Integral of 5 from 0 to 1 Equal 5?

  • oneamp
  • · Replies 2 ·
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2

What is the purpose of substitution in integration?

  • shamieh
  • · Replies 15 ·
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15

Volume by cylindrical shells of a rotated region

  • MarkFL
  • · Replies 1 ·
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1

Undergrad Why complex discrete Fourier transform?

  • Jamal26
  • · Replies 1 ·
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1

Rewriting a limit as a derivative

  • NavalMonte
  • · Replies 8 ·
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8

Surface area of revolution for x=(e^y+e^-y)/2 from y=0 to ln(2)

  • aleksbooker1
  • · Replies 7 ·
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7

Estimate the integral of g over the cube

  • mathmari
  • · Replies 8 ·
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8

Classify the following quadric surface

  • scolon94
  • · Replies 4 ·
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4

Holly's questions at Yahoo Answers regarding Lagrange multipliers

  • MarkFL
  • · Replies 1 ·
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1

High School My precalculus professor derives formulas instead of asking us to memorize them

  • Mhorton91
  • · Replies 21 ·
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21

Jamie's question at Yahoo Answers regarding an indefinite integral

  • MarkFL
  • · Replies 2 ·
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2

Show m+m²/2+m³/3+⋯=n-n²/2+n³/3-⋯ for 1/m-1/n=1

  • anemone
  • · Replies 2 ·
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2

Finding the exact value of a limit

  • NavalMonte
  • · Replies 5 ·
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5

Calculating Second Order Derivative of w at t=1

  • Yankel
  • · Replies 8 ·
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8

Undergrad Confusing max(min(f(x,y)) notation?

  • Jyan
  • · Replies 4 ·
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4

Finding the derivative of a function defined by an integral

  • pleasehelpme2
  • · Replies 19 ·
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19

Graduate Why is ε→0⁺ used in both terms of the Cauchy principal value formula?

  • Jhenrique
  • · Replies 5 ·
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5

Graduate This integral solveable [itex]\int^{3.5}_{0.5}(sin(x*π)+1)^adx[/itex]?

  • no_alone
  • · Replies 6 ·
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6

Partial differentiation of an integral

  • lfdahl
  • · Replies 3 ·
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3

Partial fractions and Maclaurin series problem

  • MarkFL
  • · Replies 1 ·
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1

Graduate Trig substitution into integrals

  • tadf2
  • · Replies 3 ·
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3

Undergrad Solving for the range of a multivariable function.

  • Ascendant78
  • · Replies 2 ·
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2

Material Implication: True Premise, False Result

  • Evgeny.Makarov
  • · Replies 1 ·
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1

Area under curves and Limit of a sequence,

  • namerequired
  • · Replies 3 ·
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3

Graduate How can we choose y and k to express f(g(x+h)) in the desired form?

  • Bashyboy
  • · Replies 4 ·
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4
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5

Undergrad Does continuity of an integral function imply continuity of the integrand?

  • bobby2k
  • · Replies 2 ·
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2

Graduate Differences between Taylor, Laurent and asymptotic series

  • Avichal
  • · Replies 3 ·
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3

Volume of Solid of Revolution about Oblique Axis - Kyle's Question

  • MarkFL
  • · Replies 1 ·
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1

Partial Fraction Decomposition

  • shamieh
  • · Replies 4 ·
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4

Minimizing the surface of a sphere and cylinder

  • leprofece
  • · Replies 11 ·
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11

Minimizing the amount of material to make a cup

  • leprofece
  • · Replies 10 ·
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10

Undergrad What's the Issue with the Second Approach to Solving the Limit of Sinx /x?

  • ChrisVer
  • · Replies 1 ·
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1

Graduate How to Solve for Jacobians and Pedal Form Equations in Scientific Notation

  • ADITYABR
  • · Replies 4 ·
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4

Integrating with composite variables like (x/y) and (xy)³

  • paulmdrdo1
  • · Replies 4 ·
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4

Brandon's questions at Yahoo Answers regarding tangent lines

  • MarkFL
  • · Replies 1 ·
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1

Undergrad Double integral limits from an equation?

  • JasonHathaway
  • · Replies 5 ·
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5

What is wrong with my formula?

  • cpwang
  • · Replies 1 ·
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1

Undergrad Point of Discontinuity for y=|x|/x: Is it x=0?

  • grace77
  • · Replies 3 ·
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3

Maximum weight of a cylinder inscribed in a sphere

  • leprofece
  • · Replies 16 ·
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16

What's the difference between integration limits and the constant of integration?

  • pleasehelpme2
  • · Replies 6 ·
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6

Is my definite integral answer correct?

  • pleasehelpme2
  • · Replies 2 ·
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2

Finding the error in integral of (3+lnx)²(2-lnx)/4x

  • tmt1
  • · Replies 3 ·
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3

Taylor's theorem problems with remainder

  • zkee
  • · Replies 1 ·
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1

Find a and b from the function

  • rsyed5
  • · Replies 2 ·
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2

Undergrad Simplifying a derivative for unit normal vector calculations

  • Ascendant78
  • · Replies 3 ·
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3

Integral of Exponential Fractions with Positive Parameters

  • polygamma
  • · Replies 4 ·
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4

Integrating Fifth Power of Secant Using Partial Fractions?

  • annie122
  • · Replies 7 ·
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7