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 Should I memorize all these trigonometric integrals?

  • Byeonggon Lee
  • · Replies 12 ·
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12

Can You Verify the Integral of Secant Squared Over (1+Tangent)^3?

  • karush
  • · Replies 3 ·
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3

Graduate Integrating Gaussian in polar coordinates problem

  • MathewsMD
  • · Replies 1 ·
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1

Graduate Partial differentiation of integral

  • blue_leaf77
  • · Replies 4 ·
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4

Undergrad Understanding a Step in Finding a Limit: Lim(x->0) x.sqrt(x+2) / sin(x)

  • Cal124
  • · Replies 6 ·
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6

How to Expand Rational Expressions for Integration

  • karush
  • · Replies 5 ·
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5

Undergrad L'Hospital's rule and indeterminate forms

  • PFuser1232
  • · Replies 4 ·
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4

Graduate Relation between inequalities for first and second derivatives

  • nikozm
  • · Replies 3 ·
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3

Graduate How to Solve a Variation of the Concentrating Salt Tank Problem?

  • Smed
  • · Replies 4 ·
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4

Finding all stationary points of 3x²y + y³ - 3x² - 3y² + 2

  • Yankel
  • · Replies 1 ·
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1

Finding min and max of f(x,y)=4x²-y²-xy-2x+6y with constraints

  • Yankel
  • · Replies 3 ·
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3

Graduate Proving reflexive, symmetric, transitive properties

  • issacnewton
  • · Replies 2 ·
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2

Solve Lagrange Multipliers Problem with x-4y=1 Constraint

  • Yankel
  • · Replies 1 ·
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1

Graduate Epsilon delta limits if/then language

  • KyleTS
  • · Replies 7 ·
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7

Graduate Insight into determinants and certain line integrals

  • kostoglotov
  • · Replies 2 ·
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2

How Can I Visualize the Intersection of a Cone and a Sphere?

  • Dethrone
  • · Replies 1 ·
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1

Integral: I am considering a trigonometric substitution

  • karush
  • · Replies 17 ·
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17

Find the area beween the curves y=x^2 and x+y=2 and the x axis

  • karush
  • · Replies 11 ·
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11

Undergrad What substitution/manipulation was done here?

  • MathewsMD
  • · Replies 4 ·
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4

Graduate When do real part conditions on parameters in Gradshteyn & Ryzhik integrals matter?

  • Asteroid
  • · Replies 4 ·
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4

Undergrad Why tangent line minimizes y(x2)/(x2-x1) in optimization

  • nigels
  • · Replies 4 ·
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4

Graduate Derivative of best approximation

  • ekkilop
  • · Replies 1 ·
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1

Undergrad Arguments of exponential and trig functions

  • dyn
  • · Replies 1 ·
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1

Find Minimum of y: $y=2a+\sqrt{4a^2-8a+3}$

  • anemone
  • · Replies 2 ·
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2

How Does the Envelope Theorem Apply to Nonlinear Functions Like f(x,r)?

  • Peterw222
  • · Replies 1 ·
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1

Graduate How can it's solve using Leibniz Rule or other rule

  • Md. Abde Mannaf
  • · Replies 6 ·
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6

Graduate Manipulating differentials in thermodynamics

  • shawnstrausser
  • · Replies 8 ·
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8

Undergrad Substitution method for finding an integral's interval changes

  • thegreengineer
  • · Replies 2 ·
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2

Graduate Why must region orientation in Green's Theorem keep the region on the left?

  • kostoglotov
  • · Replies 1 ·
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1

Graduate Proof Taylor series of (1-x)^(-1/2) converges to function

  • JD96
  • · Replies 9 ·
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9

Graduate Convergence of improper integrals

  • lwebb
  • · Replies 3 ·
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3

Integration by Parts: $\int u\cos(u)\,\mathrm{d}u$

  • brunette15
  • · Replies 3 ·
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3

Why does the following have no maximums or minimums

  • brunette15
  • · Replies 3 ·
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3

Undergrad Equations of Planes from Symmetric Equation of a Line

  • Ocata
  • · Replies 2 ·
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2

Graduate Finding optimal parameter b for f(z)=g(z)+b*u(z) to match reference locations

  • Symeon
  • · Replies 3 ·
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3

Graduate Eliminating Parameter for <-rsinθ,rcosθ> ≠ assumed function

  • Ocata
  • · Replies 4 ·
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4

Graduate Cumulant Expansion: How Does It Work?

  • aaaa202
  • · Replies 2 ·
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2

Undergrad Visualizing the plane, 1x+1y+1z = 0

  • Ocata
  • · Replies 4 ·
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4

Undergrad How to [itex]\int{\frac{-2x+20}{2\sqrt{-x^2+20x}}}dx[/itex]

  • Ocata
  • · Replies 6 ·
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6

Undergrad 'Wheel-like' Mathematics (Modulating Trig Functions?)

  • Chrono G. Xay
  • · Replies 34 ·
2
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34

Finding the maxima and minima of a function

  • brunette15
  • · Replies 2 ·
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2

How Do You Prove a Vector is Unit Along a Parametric Curve?

  • brunette15
  • · Replies 1 ·
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1

Can the limit of (x,y) at (1,0) be found using l'hopital's rule?

  • brunette15
  • · Replies 1 ·
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1
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6

Undergrad What is an integrating factor exactly?

  • vktsn0303
  • · Replies 2 ·
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2

Undergrad Limit of Series: $\frac{1}{n}$

  • Vitor Pimenta
  • · Replies 5 ·
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5

Undergrad Is continuity of the second derivative necessary for the second derivative test?

  • PFuser1232
  • · Replies 4 ·
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4

Find the greatest possible value of tan B.

  • anemone
  • · Replies 3 ·
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3

Graduate How can the difficulty of a complex integral be solved?

  • ShayanJ
  • · Replies 9 ·
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9

Graduate Is x=1 the Solution to nx ~ n ln(n) as n Approaches Infinity?

  • japplepie
  • · Replies 2 ·
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2

Graduate Special Integrals Hermite(2n+1,x)*Cos (bx) and e^(-x^2/2)

  • dongsh2
  • · Replies 6 ·
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6

Graduate Bounding Argument for Comparison Test

  • Sai-
  • · Replies 3 ·
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3

How could we calculate the limit?

  • evinda
  • · Replies 10 ·
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10

How can trigonometric substitution simplify integration?

  • karush
  • · Replies 20 ·
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20

Undergrad What category does 0·cos(1/0) fall under in indeterminate forms?

  • PFuser1232
  • · Replies 5 ·
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5

High School Finding where sin((x-10)^2) = 0

  • 2thumbsGuy
  • · Replies 11 ·
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11

High School Understanding Limits: Find Out Why it Matters

  • marciokoko
  • · Replies 5 ·
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5

Undergrad What does f|S mean and how do Lagrange multipliers apply?

  • RaulTheUCSCSlug
  • · Replies 7 ·
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7

Problem evaluating the limit to find the radius of convergence

  • brunette15
  • · Replies 2 ·
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2

Can I ignore the x and k variables when finding radius of convergence?

  • brunette15
  • · Replies 3 ·
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3

How do I evaluate the integral for 1/(n+1)^x in the integral test?

  • brunette15
  • · Replies 2 ·
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2

Volume w/ Double Integrals: What Am I Doing Wrong?

  • Pull and Twist
  • · Replies 1 ·
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1
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1

Undergrad The Derivation of Several Triginometric Identities

  • Drafter
  • · Replies 7 ·
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7

Graduate Does f'(X) = 0 follow from f(X+a) = f(X-a) with infinitesimal a?

  • Ahmad Kishki
  • · Replies 33 ·
2
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33

Summing a Series of Cubic Roots

  • anemone
  • · Replies 5 ·
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5

Graduate Why Is the Derivative Uniqueness Proof Important?

  • NanoMath
  • · Replies 7 ·
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7

Solving Integral \int_{a}^{b}\frac{e^{x}x^{4}}{e^{x}-1}dx

  • phymat
  • · Replies 1 ·
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1

Partial Derivatives: Find $\frac{\partial^2{w}}{\partial{u}\partial{v}}$

  • mathmari
  • · Replies 1 ·
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1

Limit as x approaches negative infinity.

  • tmt1
  • · Replies 3 ·
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3

Graduate Recurrence relations define solutions to Bessel equation

  • Dominic Chang
  • · Replies 1 ·
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1

Graduate Integration of 1 / [sqrt(f(x))+g(x)] ?

  • lavoisier
  • · Replies 2 ·
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2

Can you prove the definite value of $f(x)$?

  • Albert1
  • · Replies 5 ·
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5

Undergrad Physical meaning of equations of equilibrium

  • Aravind Raj
  • · Replies 7 ·
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7

Graduate Analytic continuation of Airy function

  • jostpuur
  • · Replies 4 ·
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4

Finding the centroid of y = 2x² + 6 between x = 0 and x = 2

  • Cornshe
  • · Replies 1 ·
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1

Undergrad How to solve the integral ∫ x² / (1+x²) dx

  • physfed
  • · Replies 4 ·
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4

High School What is a limit in calculus?

  • Niaboc67
  • · Replies 8 ·
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8

Graduate Why must a region be simply connected and open for conservative fields?

  • kelvin490
  • · Replies 2 ·
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2

Graduate Epsilon-delta limit definition intuition

  • WhyNerfZed
  • · Replies 6 ·
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6

Undergrad Are hyperbolic functions used in Calculus 3?

  • Kyuutoryuu
  • · Replies 3 ·
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3

High School Integral of absolute value function

  • PsychonautQQ
  • · Replies 10 ·
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10

Graduate Math GRE subject test question

  • PsychonautQQ
  • · Replies 2 ·
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2

Graduate Evaluating limits after converting to polar coordinates in a double integral

  • Xyius
  • · Replies 4 ·
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4

Undergrad Why do constant second differences indicate a quadratic sequence?

  • terryds
  • · Replies 2 ·
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2

Undergrad Why y, y' (derivative of y), x are independent?

  • SSDdefragger
  • · Replies 3 ·
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3

Undergrad Understanding notation for hydrostatic equation

  • Pastean
  • · Replies 9 ·
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9

Solve Multiline Function w/2 Variables - Explanation Here

  • tobiajj1
  • · Replies 3 ·
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3

Undergrad What Is the Amplitude of a Harmonic Load in the Frequency Domain?

  • Mazzletov
  • · Replies 2 ·
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2

Undergrad Calculus / general math related question

  • PsychonautQQ
  • · Replies 1 ·
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1

Undergrad Is it necessary to change the bounds when substituting in a definite integral?

  • helixkirby
  • · Replies 7 ·
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7

Graduate What does it mean to move a differential?

  • helixkirby
  • · Replies 6 ·
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6

Undergrad Therefore, the maximum area of the triangle is 1/2.

  • PsychonautQQ
  • · Replies 6 ·
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6

Graduate Volume Inside a Sphere and Cone?

  • timnswede
  • · Replies 2 ·
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2

Undergrad Integrating dx and dy: What Does It Mean?

  • Blue and green
  • · Replies 3 ·
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3

Graduate Indefinite integral of arcsec(x)

  • PWiz
  • · Replies 2 ·
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2

Graduate Converting a 2D Gaussian in Cylindrical Coordinates

  • MathewsMD
  • · Replies 11 ·
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11

Graduate Finding poles of complex functions

  • Kitten
  • · Replies 5 ·
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5

Undergrad Why Does the Epsilon-Delta Definition Not Require |f(x) - L| to Be Nonzero?

  • PFuser1232
  • · Replies 10 ·
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10
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5