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 Find a vector that bisects the angle between a = i + 5j − 2k and b = −3i + j + 6k

  • particleaccelerater
  • · Replies 3 ·
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Undergrad Triple integral and center of mass

  • physicsss
  • · Replies 2 ·
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Undergrad Proving f(x) = x + cos x has an inverse without graphing

  • mmlm01
  • · Replies 2 ·
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High School What conditions must an equation satisfy to be integrable?

  • One-D
  • · Replies 16 ·
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16

Undergrad Does this look right? Cannonball question

  • mathatesme
  • · Replies 4 ·
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4

Undergrad Is My Calculus Answer Correct?

  • joejo
  • · Replies 3 ·
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3

Undergrad How Do You Integrate Using Trigonometric Substitution?

  • amcavoy
  • · Replies 5 ·
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5

Graduate When Will the Population Be a Minimum and the Rate of Change Be a Maximum?

  • huan.conchito
  • · Replies 9 ·
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9

Undergrad Calculating the Derivative of the Inverse Function Using the Chain Rule

  • huan.conchito
  • · Replies 5 ·
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5

Graduate Integrate x^2/Sqrt[1 - x^2] - Solve 0=0

  • huan.conchito
  • · Replies 6 ·
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Graduate What is the arg() function in complex analysis?

  • Peter VDD
  • · Replies 8 ·
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8

Undergrad Can You Use Logarithmic Differentiation to Solve for a Base 2 Function?

  • huan.conchito
  • · Replies 8 ·
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8

Undergrad Limit as x approaches 2 from the right

  • huan.conchito
  • · Replies 19 ·
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Graduate Solve Convergence of Series Problem: Find Bounds for x_0

  • quasar987
  • · Replies 7 ·
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7

Undergrad Newton's Solution to Zeno's Paradox of the Arrow

  • danne89
  • · Replies 15 ·
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Graduate Definitions of Measurable Functions

  • chingkui
  • · Replies 9 ·
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9

Undergrad Integration by parts (i think)

  • PhysicsMajor
  • · Replies 2 ·
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2

Undergrad Calculating Error in Algebraic Approximation: \Delta f(x,y)

  • whozum
  • · Replies 3 ·
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Graduate Does R-omega satisfy the first countability axiom?

  • Euclid
  • · Replies 2 ·
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2

Graduate How Does the Strong Triangle Inequality Justify Equal p-adic Balls?

  • Ed Quanta
  • · Replies 4 ·
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Graduate Lagrange multipliers and triangles

  • physicsss
  • · Replies 2 ·
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2

Undergrad Can I integrate this using only one integration by parts?

  • bomba923
  • · Replies 1 ·
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Graduate Double integral with variable limits and denominator with nested roots

  • sid_galt
  • · Replies 7 ·
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7

Graduate Uniqueness of cubic interpolating polynomial

  • meteorologist1
  • · Replies 4 ·
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4

Undergrad What the heck does a line integral mean?

  • karen03grae
  • · Replies 5 ·
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Graduate Calculating Volume of Cylinder with Double Integrals

  • Kamataat
  • · Replies 2 ·
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2

Undergrad Faster way to integrate x³ sin 2x

  • bomba923
  • · Replies 4 ·
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4

Undergrad Finding Max/Min Points of f(x,y) in R^2

  • ArnfinnS
  • · Replies 2 ·
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Undergrad How does the gradient of 1/|x-x'| equal |x-x'|/|x-x'|³?

  • Pseudo Statistic
  • · Replies 2 ·
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2

Undergrad Strongest rectangular beam cut from a circular log of diameter 3 ft

  • karen03grae
  • · Replies 10 ·
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10

Undergrad Finding indefinite integrals of sin(x)cos²(x) and e^√(x+1)

  • huan.conchito
  • · Replies 5 ·
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Graduate Is the Extremal Value Theorem Applicable to a Given Function on a Specific Area?

  • ArnfinnS
  • · Replies 7 ·
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Graduate How to Derive the Cosine Power Series Using Euler's Identity?

  • bomba923
  • · Replies 6 ·
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Graduate Solve : 9 cosh9y dy = 4 sinh 4x dx

  • Naeem
  • · Replies 3 ·
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3

Graduate Proving two regression coefficient expressions equivalent

  • ArnfinnS
  • · Replies 5 ·
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Undergrad What is the Integral of the Square Root of x^3 - 1?

  • One-D
  • · Replies 16 ·
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16

Graduate Simplifying a partial fractions integral solution

  • Naeem
  • · Replies 4 ·
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4

Undergrad How can I integrate cos(3x)cos(2x) without using tables?

  • Naeem
  • · Replies 7 ·
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7

Graduate Minimize Heating and Cooling Costs w/ Partial Derivatives

  • GoKings
  • · Replies 7 ·
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7

Undergrad What is the Derivative of 1/(x√(x^2-1))?

  • Naeem
  • · Replies 9 ·
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9

Graduate Finding Fourier Series for u(x): Challenges with Integration

  • sigmund
  • · Replies 2 ·
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2

Undergrad Understanding Vector Division in Algebraic Structures

  • TheDestroyer
  • · Replies 12 ·
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12

Undergrad Does the nested radical √(1+√(2+√(3+...))) converge?

  • philosophking
  • · Replies 17 ·
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Undergrad Can you rephrase the question? What is e ?

  • pattiecake
  • · Replies 3 ·
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3

High School Is displacement the sum of speed times time?

  • PrudensOptimus
  • · Replies 14 ·
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14

Graduate Is the Cauchy-Hadamard Theorem Misrepresented on Mathworld?

  • quasar987
  • · Replies 2 ·
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2

Graduate Are there any other ways of parametizing S?

  • Sneaksuit
  • · Replies 7 ·
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7

Undergrad Sketching regions in the complex plane and finding derivatives

  • alexialight
  • · Replies 2 ·
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2

Graduate Integral equation with kernel K(st)

  • eljose
  • · Replies 2 ·
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2

Graduate Why Are the Singular Points z=1/n Isolated in the Function f(z)=1/(sin(pi/z))?

  • PowerClean
  • · Replies 2 ·
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Graduate How can you tell if a specific topological space is compact?

  • PBRMEASAP
  • · Replies 5 ·
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Graduate A function on a compact set is compact

  • eddo
  • · Replies 8 ·
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8

Graduate What is the asymptotic behavior of S(n) with the Li(x) function?

  • kleinwolf
  • · Replies 3 ·
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Undergrad Evaluating lim x→3 of (2x²-x-15)/(3x²-13x+12) after factoring

  • bayan
  • · Replies 9 ·
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9

Undergrad Proving the Limit of (3n)^{\frac{1}{2n}} as n Goes to Infinity

  • semidevil
  • · Replies 7 ·
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7

Graduate Infinitie Series: Converge/Diverge question

  • trap
  • · Replies 4 ·
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4

Graduate Proving the Relationship Between Integrals and Root Pi Using Multiple Integrals

  • eddo
  • · Replies 9 ·
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9

Undergrad Root of a complex number in cartesian

  • TheDestroyer
  • · Replies 15 ·
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15

Undergrad How do you find and classify critical points of f(x,y)?

  • Pengwuino
  • · Replies 4 ·
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4

Graduate Integrating $\frac{1}{\sqrt{2\beta x-\alpha x^2}}$

  • dcppc
  • · Replies 11 ·
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11

Undergrad Log n < O(n^ε) for Large n - Simple Function Growth

  • ti89fr33k
  • · Replies 9 ·
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9

Undergrad How to Use LaGrange Multipliers to Find Highest and Lowest Points on an Ellipse?

  • jemck
  • · Replies 2 ·
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2

Graduate Numerical integration of 1/((1+x)√x) from 0 to infinity

  • Dominguez Scaramanga
  • · Replies 10 ·
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10

Undergrad Determining the Solution for d^2r/dt^2 = G*M/r^2 with Constant G and M

  • dcppc
  • · Replies 18 ·
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18

Graduate Does x->infiity (ln |cosx|)/x^2 exist?

  • flying2000
  • · Replies 32 ·
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Undergrad The integral of (sin 3t)^5 cos t dt

  • PhysicsMajor
  • · Replies 12 ·
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12

Graduate Where does the formula for dtheta in polar coordinates come from?

  • Moose352
  • · Replies 3 ·
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3

Graduate What is the solution to integrating \int\cos^{3/2}x \ dx?

  • X-43D
  • · Replies 4 ·
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4

Graduate Does weak convergence of Xm and (Xm)² imply Y = X²?

  • Sardin
  • · Replies 2 ·
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2

Undergrad Finding calculus courses mechanical and repetitive, worried about math major

  • trancefishy
  • · Replies 40 ·
2
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Undergrad Solving Telescoping Series with n Terms

  • 7C0A0A5
  • · Replies 2 ·
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2

Undergrad Why does 0.999... equal 1?

  • chickenguy
  • · Replies 2 ·
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2

High School How Do You Verify This Trigonometric Identity?

  • InFiNiTeX
  • · Replies 13 ·
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13

Graduate Finding mass of ball with density proportional to distance from z-axis

  • physicsss
  • · Replies 5 ·
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5
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2

Graduate Is There a Numerical Method to Calculate the Minimum of a Functional?

  • eljose
  • · Replies 2 ·
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2

Undergrad How do you deal with absolute values in your Integrals?

  • Shinjo
  • · Replies 2 ·
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2

Undergrad Finding limits of integration during a change of variables

  • Shinjo
  • · Replies 2 ·
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2

Graduate Is the Integral of (f(x)-q(g(x)))^2 Greater Than Zero?

  • mruncleramos
  • · Replies 3 ·
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3

Undergrad Area of Sphere Calc: Archimedes Method

  • mprm86
  • · Replies 2 ·
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2

Undergrad Is the Derivative of a Differentiable Function Always Continuous?

  • brum
  • · Replies 2 ·
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2

Graduate Proving Cauchy Sequence Subsequences

  • clueles
  • · Replies 12 ·
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12

Graduate Find Min of f(x,y,z)=x^8+y^8+z^8 on x^4+y^4+z^4=4

  • jenc305
  • · Replies 2 ·
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2

Undergrad What is the Geometric Meaning of Grad f for Functions of Several Variables?

  • wayneckm
  • · Replies 5 ·
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5

Undergrad How Do You Calculate the Average Value of a Function Between Two Points?

  • ribod
  • · Replies 6 ·
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6

Graduate How Does the Riemann Sum Approximate the Limit of an Infinite Sum to Pi/4?

  • mprm86
  • · Replies 2 ·
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2

Undergrad Finding Concavity and Inflection Points of f(t) = 3cos^2(5t) on [-pi/5, pi/5]

  • smith5029
  • · Replies 2 ·
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2

Undergrad What's the Origin of This Integral Inequality?

  • philosophking
  • · Replies 3 ·
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3

Graduate How to Prove Log 2 Using Riemann Sums?

  • tonix
  • · Replies 10 ·
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10

Undergrad Find the area bounded by y^2=x and y=x=2

  • hytuoc
  • · Replies 2 ·
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2

Undergrad What Are the Real-Life Applications of Series and Sequences?

  • Mitchell
  • · Replies 2 ·
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2

Graduate What are the solutions of w=tan z if w doesn't equal +i or -i?

  • Mark C
  • · Replies 7 ·
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7

Undergrad How to Calculate the Partial Derivative of a Function at the Origin?

  • MaximumTaco
  • · Replies 2 ·
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2

Graduate Is the Definition for Fractional Derivative Correct?

  • eljose
  • · Replies 2 ·
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2

Graduate Nonuniqueness of power series expansion

  • Timbuqtu
  • · Replies 2 ·
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2

Undergrad Does the Equation x^2 = xsinx + cosx Have Exactly Two Real Roots?

  • heman
  • · Replies 14 ·
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14

Graduate Finding the Maximum Spread of Rumors Using Differential Equations

  • Jameson
  • · Replies 9 ·
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9

Undergrad Graphes: Increasing/Decreasing, Concave Up/Down, Inflection Points?

  • sjaguar13
  • · Replies 7 ·
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7

Graduate Why is the del operator treated as a vector?

  • misogynisticfeminist
  • · Replies 24 ·
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24

Graduate How to Find Surface Area of Intersecting Cylinders with Different Radii?

  • dhtjanda
  • · Replies 2 ·
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2