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

Limit of e to the tangent of x

  • thereidisanceman
  • · Replies 11 ·
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Maximizing Renewable Energy: Solving for 80% Consumption by 2050

  • Phatasmagorick
  • · Replies 5 ·
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5

Evaluating $\displaystyle \lim_{{x}\to{2}} f(x$): Does it Exist?

  • Joel Jacon
  • · Replies 5 ·
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5

Left hand and right hand limit at infinity

  • Joel Jacon
  • · Replies 5 ·
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5

Undergrad Can the Simpsons 3/8 Rule be Extended to Calculate Double Integrals?

  • DivergentSpectrum
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Graduate How to Normalize the Quantum Harmonic Oscillator Wave Function?

  • 21joanna12
  • · Replies 3 ·
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Undergrad What are the Best Online Resources for Practicing Calculus?

  • phion
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Graduate Differentiate x to a complex power?

  • dyn
  • · Replies 10 ·
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10

Change of Variable: Physics Math in GR Problem

  • topsquark
  • · Replies 2 ·
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Undergrad Trying to self-learn calculus but stuck on this idea

  • iwantcalculus
  • · Replies 10 ·
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10

High School The Difference Between Log and Ln

  • basty
  • · Replies 7 ·
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7

Finding Formula without using any trig functions

  • khuangg
  • · Replies 4 ·
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4

Series expansion to 4th degree before applying l'Hôpital's rule

  • stuart4512
  • · Replies 1 ·
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What is the limit of the sine function as x approaches 1?

  • Yankel
  • · Replies 3 ·
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3

Trigonometric absolute value integral

  • jacobi1
  • · Replies 3 ·
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3

Graduate Why is this way of computing imaginary arctangents wrong?

  • David Carroll
  • · Replies 2 ·
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2

Undergrad Sum of 1/(n² + (r-1)²) + 1/(n² + r²) + ... + 1/(n² + (n-1)²)

  • andyrk
  • · Replies 39 ·
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Graduate Physical interpretation of divergence

  • nayanm
  • · Replies 6 ·
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6

Graduate Separation of variables technique

  • PhyAmateur
  • · Replies 6 ·
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6

Limit in Infinity: Check Results Now

  • Alexstrasuz1
  • · Replies 2 ·
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2

Undergrad Use of substitution for integration

  • Supernova123
  • · Replies 4 ·
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4

Finding the limit as x approaches infinity

  • Alexstrasuz1
  • · Replies 9 ·
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9

High School Who Coined the Term "Improper" Integral?

  • sbcdave
  • · Replies 3 ·
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3

Graduate Solving 1st Order PDE: Finding L with Ax^2 Form

  • PhyAmateur
  • · Replies 4 ·
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4
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5

High School Integration Constant in Physics: When to Use It?

  • gracy
  • · Replies 6 ·
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6

Derivative of function containing absolute value

  • find_the_fun
  • · Replies 7 ·
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7

Undergrad Is the Alternative Method for Integration by Parts Simpler?

  • DivergentSpectrum
  • · Replies 3 ·
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3

Undergrad A strange derivative-integral discrepancy

  • ELB27
  • · Replies 3 ·
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3

Graduate Second Order Derivative Notation (mingled with)

  • BHL 20
  • · Replies 19 ·
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19

Volume of Solid Rotated Around y=-4 for y=x^7, y=1, and y-axis

  • WDGSPN
  • · Replies 12 ·
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Graduate What is the error analysis for a function of Newton's cooling law?

  • dziech
  • · Replies 6 ·
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6

Difference quotient for quadratic function

  • zolton5971
  • · Replies 6 ·
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6

High School Why Is N Considered a Constant in Summation Notation?

  • CookieSalesman
  • · Replies 1 ·
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1

How to Calculate Arc Length for a 124° Angle in a Circle?

  • zolton5971
  • · Replies 3 ·
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3

High School How to Prove the Trigonometric Identities for Sin and Cos of A+B?

  • basty
  • · Replies 1 ·
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1

Having Trouble with Boundaries for Triple Iterated Integrals?

  • ctb94
  • · Replies 6 ·
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6

Finding area between 2 functions

  • tmt1
  • · Replies 1 ·
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1

High School Why Does \(\sin^2(nx) + \cos^2(nx) = 1\) Hold True?

  • basty
  • · Replies 5 ·
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5

Undergrad Maximum/minimum through logarithm

  • Bipolarity
  • · Replies 4 ·
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4

Graduate Solve Integral Analytically: Int[(1+x^2)^-n e^-x^2]dx

  • matt_crouch
  • · Replies 1 ·
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1

Finding Area between 3 functions

  • tmt1
  • · Replies 2 ·
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2

Area between y = x² and y = 2/(x² + 1)

  • tmt1
  • · Replies 1 ·
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1

Undergrad Confusion with Relative Extrema and Intervals

  • Jazz
  • · Replies 7 ·
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7
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2
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7

Integrating e^(-bx²) times its second derivative

  • clumps tim
  • · Replies 1 ·
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1

So, the area between the two functions is 72 units squared.

  • tmt1
  • · Replies 1 ·
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1

Vector Calculus - Cylindrical Co-ordinates

  • RigB
  • · Replies 1 ·
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1

Undergrad Subtracting functions on specified domains

  • 2thumbsGuy
  • · Replies 5 ·
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5

Undergrad Splitting up an interval of integration

  • "Don't panic!"
  • · Replies 4 ·
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4

Graduate Evaluating this particular integral

  • thelibertine1
  • · Replies 3 ·
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3

Graduate How to limit processing demand simulating electromagnetic trajectory

  • DivergentSpectrum
  • · Replies 7 ·
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7

Undergrad Can u be written as a function of v in integration by parts?

  • kelvin490
  • · Replies 11 ·
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11

Graduate Continuity and differentiability in two variables

  • wavingerwin
  • · Replies 1 ·
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1

Can You Evaluate This Definite Integral with Trig Functions?

  • anemone
  • · Replies 4 ·
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4

Matrix Rotation Query: Inertia Tensor D (+90y, -90z)

  • bugatti79
  • · Replies 1 ·
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1
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5

Elementary Calculus Problem involving Derivatives

  • kierlain
  • · Replies 2 ·
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2

Graduate Inverse Laplace transform. Bromwitch integral

  • LagrangeEuler
  • · Replies 2 ·
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2

Undergrad How to evaluate the line integral of work with vectors F(t) and r(t)

  • Ludwig
  • · Replies 3 ·
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3

Graduate Functional relation and implicit functions

  • trap101
  • · Replies 2 ·
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2

Undergrad Directional derivative and gradient definition confusion

  • thegreengineer
  • · Replies 6 ·
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6

Undergrad Can someone explain this summation definition to me?

  • CookieSalesman
  • · Replies 4 ·
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4

High School Integration in Calculus: Understand What It Is

  • ubergewehr273
  • · Replies 5 ·
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5

Graduate Squaring an Integral of a function

  • occh
  • · Replies 6 ·
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6

Why does te^(-st) go to 0 as t approaches infinity?

  • find_the_fun
  • · Replies 2 ·
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2

Graduate Surface integrals/Surface areas of arbitrary domain regions

  • PhysicsKid0123
  • · Replies 3 ·
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3

How can we prove the derivative inequality for f(x)=sin(x)/x?

  • Fallen Angel
  • · Replies 3 ·
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3

Limits of Rational Functions: Dividing by Highest Power?

  • Yankel
  • · Replies 1 ·
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1

Evaluating Limit: $$\sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x}}}}-\sqrt{x}$$

  • Maged Saeed
  • · Replies 9 ·
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9

Graduate What Is the Solution to Associated Legendre Polynomials for m=1 and l=1?

  • bvol
  • · Replies 4 ·
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4

Graduate If g is diff'able at x_0, g(x) <= mx + b, show g'(x_0) = m

  • rayge
  • · Replies 1 ·
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1

Where does the difference 1−n/(n+1)=1/(n+1) come from?

  • find_the_fun
  • · Replies 1 ·
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1

Undergrad Dv/dt must be a RATIO and here is why

  • christian0710
  • · Replies 13 ·
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13

Graduate Contour integral with a pole on contour - justification?

  • MayCaesar
  • · Replies 2 ·
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2

When Can We Determine if a Limit Exists or Not in Calculus?

  • find_the_fun
  • · Replies 3 ·
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3

Graduate Integral of sine integral times exponential: ∫₀^∞ Si(ax)e^(-x)dx = arctan(a)

  • hmiamid
  • · Replies 1 ·
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1

Graduate Does the Generalised Laplacian satisfy a certain relation?

  • spaghetti3451
  • · Replies 1 ·
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1

Undergrad Is the function x/sin(x) continuous?

  • DrunkenPhD
  • · Replies 6 ·
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6

Undergrad Why do -pi/2 and pi/2 Equal 1 and 5 in This Integral Problem?

  • basty
  • · Replies 7 ·
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7

Undergrad Approximating this integral with midpoints

  • CookieSalesman
  • · Replies 1 ·
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1

Undergrad Sum of ordinates mean value of functions

  • Appleton
  • · Replies 2 ·
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2

Graduate Poisson equation with three boundary conditions

  • azzaz
  • · Replies 3 ·
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3

Undergrad Solving for Sin(π/12): How Do I Get (π/3-π/4)?

  • Markg1997
  • · Replies 3 ·
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3

How Do You Integrate y^3 Over a Triangle with Given Vertices?

  • ineedhelpnow
  • · Replies 10 ·
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10

Does the order of integration matter for double and triple integrals?

  • ineedhelpnow
  • · Replies 2 ·
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2

Finding distance between vectors

  • Drain Brain
  • · Replies 3 ·
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3

Undergrad An example need to be turned into an integral

  • vemvare
  • · Replies 3 ·
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3

Tangents at the pole (polar)

  • Amad27
  • · Replies 8 ·
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8

Expressing sin(2θ) and cos(2θ) in terms of x

  • TrigEatsMe
  • · Replies 1 ·
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1

Index Notation Proof: Proving $\nabla\cdot\left(\phi\textbf{u}\right)$

  • SamJohannes
  • · Replies 3 ·
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3

Graduate How do I account for a Jacobian when changing coordinates for two particles?

  • UVCatastrophe
  • · Replies 1 ·
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1

Undergrad Finding this volume without cylindrical shells

  • member 508213
  • · Replies 1 ·
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1

Graduate Limit epsilon-delta definition vs. continuity

  • TadeusPrastowo
  • · Replies 5 ·
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5

Graduate Is There an Error in Kolmogorov and Fomin's Trigonometric Inequality Proof?

  • DavideGenoa
  • · Replies 2 ·
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2

Graduate Integral of sine integral times exponential: Si(ax)e^-x

  • hmiamid
  • · Replies 1 ·
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1

Graduate Expanding a multivariable function in powers of one of the variables?

  • Summetros
  • · Replies 1 ·
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1

Determine the Average Rate of Change

  • eleventhxhour
  • · Replies 3 ·
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3

Evaluating Definite Integrals with Floor Function

  • juantheron
  • · Replies 1 ·
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1