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.

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1

This limit does not exist as it approaches 1 from both sides.

  • tmt1
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What is the Integration Formula for x and p in Maxima?

  • karush
  • · Replies 6 ·
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6
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2

Integral with sinx in the denominator

  • tmt1
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2

Prove $1<sin\,\theta + cos\,\theta \leq \sqrt 2$ for $0<\theta <90^o$

  • Albert1
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1
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4

Undergrad Problem with directional derivative

  • TonyEsposito
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4

How Does Integration to Infinity Work in Calculus?

  • karush
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2

Leeward 206 {8.13} Integral at infinity

  • karush
  • · Replies 4 ·
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4

Solving an integral with trigonometric substitution

  • tmt1
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2

Undergrad Definite integral of 2.12068539072×10⁻¹¹/x² from 6,378,100 to 1,500,000,000

  • Calton
  • · Replies 9 ·
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9

How Can I Simplify This Integral Using Long Division?

  • tmt1
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2

What are the steps to simplify this integral?

  • tmt1
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1

Possible title: Troubleshooting File Attachments on Online Forums

  • jameszy7
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3

LCC 206 {r3} integral rational expression

  • karush
  • · Replies 3 ·
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3

Undergrad How to Find the Derivative with Respect to ##r##?

  • ecastro
  • · Replies 3 ·
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3

How to Solve an Integral with Fractions and Long Division?

  • tmt1
  • · Replies 5 ·
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5

LCC 206 {review 7r5} Integral substitution}

  • karush
  • · Replies 3 ·
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3

LCC 8.8.11 Infinite Intervals of Integration

  • karush
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1

Why Do We Use The with Calculus?

  • nikkor180
  • · Replies 4 ·
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4

Graduate What is the Freshman Dream Quotient Rule?

  • JasMath33
  • · Replies 3 ·
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3

LCC 206 {review 7r13} Integral substitution

  • karush
  • · Replies 5 ·
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5

An Integral with a Fraction and e

  • tmt1
  • · Replies 2 ·
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2

Steward e6 {7r11} Integral substitution

  • karush
  • · Replies 6 ·
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6

What is the integral of $\frac{x}{2\sqrt{x+2}}$?

  • karush
  • · Replies 2 ·
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2

Undergrad General term for series with numerators alternating between 8 and 1

  • maxhersch
  • · Replies 2 ·
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2

High School What is the integral of 1/2sin(2pi/n)(r^2-z^2) dz

  • Guest432
  • · Replies 2 ·
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2

Undergrad How does one derived the error bound for approximations?

  • Terrell
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1

Integrating 1/√(s² - 0.01)

  • NotaMathPerson
  • · Replies 2 ·
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2

How is the Domain of a Trigonometric Expression Determined?

  • tmt1
  • · Replies 1 ·
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1

Graduate Evaluating nested covariant derivatives of a vector field

  • redtree
  • · Replies 12 ·
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12

Undergrad Why does (∂μφ)² equal (∂μφ)(∂μφ) in Lagrangian field theory?

  • Markus Hanke
  • · Replies 4 ·
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4

Steward e6 7r33 rational integral

  • karush
  • · Replies 5 ·
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5

Undergrad Jacobian matrix generalization in coordinate transformation

  • mertcan
  • · Replies 5 ·
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5

What is the integral of $xe^{2x}$ divided by the square of $1+2x$?

  • karush
  • · Replies 6 ·
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6

Are sin²x and -½cos(2x) equal?

  • tmt1
  • · Replies 1 ·
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1

Undergrad Deriving maximum velocity in a rotated frame

  • jumbo1985
  • · Replies 4 ·
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4

Undergrad Cauchy's Integral Test for Convergence

  • samgrace
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3

How Can We Integrate This Complex Logarithmic Function?

  • karush
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2

Undergrad Does derivative formula work for all parametric equations

  • Happiness
  • · Replies 4 ·
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4

What is the integral of sin^3(t)cos^4(t) using u-substitution?

  • karush
  • · Replies 5 ·
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5

Undergrad Derive the formula for gradient using chain rule

  • Happiness
  • · Replies 3 ·
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3

Transforming Trigonometric Integrals with Substitution

  • karush
  • · Replies 12 ·
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12

Undergrad Laplace transform using differential equations

  • Belgium 12
  • · Replies 2 ·
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2

What is the Chain Rule for Integration?

  • karush
  • · Replies 2 ·
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2

High School Surface created by 1 plane equation

  • riemannsigma
  • · Replies 2 ·
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2

How to integrate cos⁴(t) with multiple terms

  • karush
  • · Replies 8 ·
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8

Undergrad Is it necessary to use a different function name in the chain rule?

  • Happiness
  • · Replies 12 ·
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12

Undergrad Proofing Contractive Functions: Difficulties Solved

  • KF33
  • · Replies 2 ·
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2

Undergrad Continuous Functions with Piecewise Functions

  • KF33
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3

Undergrad What is the relationship between contractive and Lipschitz functions?

  • KF33
  • · Replies 1 ·
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1

Undergrad Some weird circular relationship

  • Runei
  • · Replies 7 ·
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7

What is the integral of 1 over t times the quantity t squared minus 4?

  • karush
  • · Replies 6 ·
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6

Graduate Saddle point Integrals with logarithm and cosine

  • Leo_rr
  • · Replies 1 ·
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1

High School How to choose epsilon when the limit definition won't factor

  • ChloeYip
  • · Replies 17 ·
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17

Integrating by Parts: Solving a Sin x Problem

  • karush
  • · Replies 5 ·
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5

Undergrad Partial derivative of sum with squared term to minimize function

  • ecastro
  • · Replies 6 ·
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6

Undergrad Fourier Series: I don't understand where I am wrong --

  • thegreengineer
  • · Replies 1 ·
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1

Graduate Proof of equality of mixed partial derivatives

  • Happiness
  • · Replies 7 ·
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7

Derivatives and relative max's and min's

  • kendalgenevieve
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1

Undergrad Continuity of a function implies its existence in the neighbourhood?

  • Happiness
  • · Replies 8 ·
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8

Undergrad Length of bases in Polar coordinates

  • smodak
  • · Replies 3 ·
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3

Integrating sec²(t)/(1+tan(t))² using substitution

  • karush
  • · Replies 2 ·
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2

Finding the decay constant k for a depreciation differential equation

  • hobomath
  • · Replies 6 ·
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6

High School How Do You Prove This Vector Calculus Identity from Turbulence?

  • FluidStu
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Limit of = (sin nx) / (sin x) as n goes to infinity.

  • uNmiN
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2

What is the proof for f(1.1)>-0.1?

  • Yankel
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1

Undergrad Orthogonality of spherical Bessel functions

  • sunrah
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3

What is the Integration by Parts method used for?

  • karush
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2

Undergrad What are the values of ##x## for which the series (ln n)^x converges?

  • Happiness
  • · Replies 9 ·
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9

Undergrad Is there a proof for the precision of convergence or divergence at x=+,-(1/L)?

  • mertcan
  • · Replies 10 ·
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10

LCC 205 8.4.12 sine substitution

  • karush
  • · Replies 2 ·
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2

Undergrad Properties of conditionally convergent series

  • Happiness
  • · Replies 14 ·
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14

High School Total area enclosed between ln(x) and sin^2(2x)-cos(3x)+1

  • Saracen Rue
  • · Replies 4 ·
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4

High School Boundary Curve and Stokes Theorem in a Partially Missing Cube

  • riemannsigma
  • · Replies 2 ·
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2

Can Trig Substitution be used to Solve Trigonometric Integrals?

  • karush
  • · Replies 2 ·
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2

LCC 205 8.4.7 sine substitution (definite integral)

  • karush
  • · Replies 8 ·
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8

High School The total area between 3sin(5x) and the x-axis

  • Saracen Rue
  • · Replies 4 ·
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4

Integral of e^x: e^x - ln(e^x + 1) + C

  • Bushy
  • · Replies 3 ·
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3

Difference Quotient of f(x)=1/(x-3)

  • kendalgenevieve
  • · Replies 1 ·
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1

Determine if a function is continuous

  • kendalgenevieve
  • · Replies 3 ·
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3

Undergrad Convergence of an alternating series

  • Happiness
  • · Replies 1 ·
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1

Lim x approaches -3 of (x^2+6x+9)/(x-3)

  • kendalgenevieve
  • · Replies 3 ·
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3

Undergrad How was this expression differentiated?

  • Auntmatilde
  • · Replies 1 ·
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1

High School Using infinitesimals to find the volume of a sphere/surface

  • EddiePhys
  • · Replies 8 ·
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8

Undergrad Inverse hyperbolic function expressed as inverse trigonometry function

  • Happiness
  • · Replies 5 ·
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5

Which Catering Service Maximizes Charity Profit for a Business Banquet?

  • Anj Estrada
  • · Replies 2 ·
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2

Whitman 8.4.7 integrate by parts

  • karush
  • · Replies 4 ·
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4

Undergrad Markov property: compatible with momentum?

  • lolcopters
  • · Replies 2 ·
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2

Integrate x³/√(4x² - 1) using substitution

  • karush
  • · Replies 7 ·
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7

Undergrad Analytical solution to b=a*x^-theta - x?

  • sargondjani1
  • · Replies 4 ·
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4

How Do You Integrate 1/(x^2 * (1 + x^2))?

  • karush
  • · Replies 3 ·
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3

Trig Substitution for Whitman 8.4.8: Complete the Square

  • karush
  • · Replies 8 ·
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8

Calculate Change in Q(K,L) w/ Partial Derivatives Given

  • Orion2
  • · Replies 1 ·
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1

Undergrad Taking the integral of vectors?

  • Vishera
  • · Replies 9 ·
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9

High School Finding velocity in terms of displacement

  • Saracen Rue
  • · Replies 3 ·
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3

Graduate Certain convex minimization problem

  • nikozm
  • · Replies 2 ·
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2

Undergrad Prove a(b-c)=ab-ac: Is It Enough?

  • Velcroe
  • · Replies 4 ·
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4

Solving Integral of 1/sqrt(1+x^2)

  • karush
  • · Replies 2 ·
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2