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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8

Undergrad Epsilon-delta proof for x² limit at x=2: questions on technique

  • bamajon1974
  • · Replies 4 ·
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4

Graduate Solving an Integral involving a probability density function

  • Ad VanderVen
  • · Replies 16 ·
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16

High School How to Find the Intersection of a Logarithmic Curve and a Tangent Line?

  • AngleWyrm
  • · Replies 14 ·
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14

Graph of $y=\sin{x}-2$ on the domain $[0,2\pi]$

  • karush
  • · Replies 2 ·
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2

7.1.17 int e^{-\dfrac{x^2}{2}} dx from 0 to infty

  • karush
  • · Replies 3 ·
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3

How to solve the integral of 1+tanx using partial fraction decomposition?

  • Lorena_Santoro
  • · Replies 2 ·
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2

Undergrad Error bounds for Newton's Method

  • mcastillo356
  • · Replies 13 ·
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13

Undergrad What does "the sequence of functions has limit in R" mean?

  • cbarker1
  • · Replies 1 ·
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1

How to Evaluate the Integral of an Even Trig Function in a Radical?

  • karush
  • · Replies 9 ·
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9

Why is the derivative of |x| not defined at x=0?

  • Purplepixie
  • · Replies 6 ·
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6

Is It an $\arctan$, $\arccot$, or Something Else in This Integral Solution?

  • Lorena_Santoro
  • · Replies 4 ·
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4

Graduate How does v disappear in equation (1.8) with imaginary change of variables?

  • TroyElliott
  • · Replies 6 ·
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6

What's the best strategy to solving this Integral in 3 minutes?

  • Lorena_Santoro
  • · Replies 4 ·
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4

Undergrad Limits confusion -- What is meant by "instantaneous rate of change"?

  • DumpmeAdrenaline
  • · Replies 18 ·
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18

Undergrad Rigorous proof that 1/x approaches infinity at x=0

  • 0kelvin
  • · Replies 7 ·
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7

-7.8.1 Amp, Period, PS, VS of 3cos(\pi x-2)+5

  • karush
  • · Replies 5 ·
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5

Undergrad Why is the absolute value of sinx used in the integral of cotx?

  • Vividly
  • · Replies 1 ·
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1

Graduate Finding a vector from the curl of a vector

  • user1139
  • · Replies 11 ·
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11

You have only 3 minutes for a better solution to this integral

  • Lorena_Santoro
  • · Replies 2 ·
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2

6.2.25 Evaluate Limit of x to infty

  • karush
  • · Replies 3 ·
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3

Undergrad What is the ambiguity in forming new functions?

  • DumpmeAdrenaline
  • · Replies 28 ·
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28

Undergrad Moving the graph to the right -- What do you think?

  • 0kelvin
  • · Replies 3 ·
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3

Graduate The ``kinematic equation'' of fluid flows

  • hunt_mat
  • · Replies 13 ·
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13

Finding a limit quickly

  • Lorena_Santoro
  • · Replies 2 ·
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2

Can this project revolutionize surfing?

  • karush
  • · Replies 8 ·
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8

Undergrad Inverse Functions: x=f(y) and X=f^-1(y)

  • DumpmeAdrenaline
  • · Replies 4 ·
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4

Undergrad Why must f(x) and g(x) share the same domain when adding them?

  • DumpmeAdrenaline
  • · Replies 7 ·
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7

-6.r.10 evaluate int with u v subst

  • karush
  • · Replies 2 ·
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2

Undergrad Why does the integral of sine of x^2 from - infinity to + infinity diverge?

  • jaumzaum
  • · Replies 4 ·
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4

-w8.7.28 integral rational expression

  • karush
  • · Replies 7 ·
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7

-w8.3.11 int sqrt{x} dx sqrt{1-x}

  • karush
  • · Replies 3 ·
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3

8.2.5.evaluate int 64x sec^2(4x) dx

  • karush
  • · Replies 5 ·
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5

High School What's the difference between d, d/dx and dx?

  • Jason Ko
  • · Replies 3 ·
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3

Undergrad Definition of order of a partial differential equation

  • Kashmir
  • · Replies 3 ·
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3
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5

Calculating Total Area Under a Trapezoidal Curve for Water Tank Fill Time

  • sophbell
  • · Replies 3 ·
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3

Undergrad Is dy/dx Truly Not a Ratio Even When Defined via Limits?

  • Buffu
  • · Replies 28 ·
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28

High School How to Visualize 3D Surfaces for a PVT Diagram

  • benorin
  • · Replies 3 ·
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3

High School Checking a proof of the Bolzano-Weierstrass theorem

  • Eclair_de_XII
  • · Replies 8 ·
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8

High School Another proof of the existence of extreme values on open intervals

  • mcastillo356
  • · Replies 9 ·
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9

High School Proving half of the Heine-Borel theorem

  • Eclair_de_XII
  • · Replies 3 ·
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3

Finding roots of this particular polynomial

  • JackDaniel87
  • · Replies 4 ·
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4

Is This Variant of the Navier-Stokes Equation Solvable?

  • mrlukey
  • · Replies 2 ·
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2

Solve Calculus Problem: Answers to d, e, f in Math Paper

  • sfvdsc
  • · Replies 3 ·
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3

Undergrad How to Bound a Fraction Involving Sine Functions?

  • Peter_Newman
  • · Replies 24 ·
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24

Undergrad Limit of limits of linear combinations of indicator functions

  • Unconscious
  • · Replies 3 ·
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3

Undergrad Volume of Solid of Revolution (About the line y = x)

  • PeroK
  • · Replies 6 ·
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6

What are the requirements for the exercise on multiplicity and set of zeros?

  • forever119
  • · Replies 1 ·
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1

Graduate How to solve this definite integral?

  • Ad VanderVen
  • · Replies 7 ·
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7

Integrating Trigonometric Functions with Substitution

  • karush
  • · Replies 6 ·
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6

High School Wondering if a limit exists or not

  • mcastillo356
  • · Replies 3 ·
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3

Undergrad Understanding a proof of inexistence of max nor min

  • mcastillo356
  • · Replies 4 ·
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4

Undergrad How to Find the Derivative of F = f(x)/f(x+dx)?

  • sha1000
  • · Replies 15 ·
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15

How Does Trig Substitution Simplify the Integral of 1/(25-t^2)^(3/2)?

  • karush
  • · Replies 3 ·
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3

Why Does the Summation Use n-1 and i² in This Limit Calculation?

  • karush
  • · Replies 4 ·
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4

Graduate To understand the Darboux theorem

  • feynman1
  • · Replies 26 ·
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26

What is the Slant Asymptote of $\dfrac{4x^3-10x^2-11x-1}{x^2-3x}$?

  • karush
  • · Replies 3 ·
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3

-x4.6 Find extrema f(x, y, z) = x + yz

  • karush
  • · Replies 4 ·
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4

How can I develop ln(x) into a series for x >= 1 in fluid dynamics?

  • fluid_mechanics
  • · Replies 1 ·
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1

Undergrad Finding the maximum of a function

  • ratio
  • · Replies 2 ·
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2

Graduate Integrating cross product of position and force

  • Johan_S
  • · Replies 1 ·
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1
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3

Undergrad Extreme value nonexistence proof

  • mcastillo356
  • · Replies 11 ·
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11

-7.3.89 Integral with trig subst

  • karush
  • · Replies 4 ·
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4

-z.60 Find the vector perpendicular to the plane PQR

  • karush
  • · Replies 4 ·
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4

Undergrad A function with no max or min at an endpoint

  • mcastillo356
  • · Replies 7 ·
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7

Limit x to o: $\lim_{h\to 0}=-\frac{1}{5}$

  • karush
  • · Replies 2 ·
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2

Finding k for x is undefined at $x=2$

  • karush
  • · Replies 3 ·
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3

Undergrad Stokes' theorem and surface integrals

  • dRic2
  • · Replies 5 ·
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5

Undergrad Second derivative of chained function

  • lriuui0x0
  • · Replies 14 ·
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14

High School Riemann integrability of functions with countably infinitely many dis-

  • Eclair_de_XII
  • · Replies 3 ·
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3

Undergrad How do I use induction more rigorously when making Taylor expansions?

  • Mayhem
  • · Replies 7 ·
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7

Graduate Proving the Equivalence of Local and Global Maxima for Concave Functions

  • pitaly
  • · Replies 1 ·
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1

Undergrad Curvature of 3D Graph on Point w/ Directional Vector

  • kairama15
  • · Replies 3 ·
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3

Question on velocity and acceleration

  • WMDhamnekar
  • · Replies 5 ·
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5

How Do You Solve Integrals Using Partial Fractions?

  • karush
  • · Replies 3 ·
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3

Graduate Calculate curl of e_φ: Non-Zero Vector

  • LagrangeEuler
  • · Replies 1 ·
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1

Getting wrong answer with partial differentiation

  • jaychay
  • · Replies 3 ·
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3

Why use differentials dy and dx instead of just derivatives

  • agapito
  • · Replies 9 ·
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9

Checking my solution to a calculus problem

  • Albert Einstein1
  • · Replies 2 ·
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2

Undergrad Solving x²-y²=c² with y=(2x⁵-1)² and squaring both sides

  • Vividly
  • · Replies 2 ·
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2

Undergrad Neglecting higher powers of small quantities in calculations

  • dyn
  • · Replies 21 ·
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21

Undergrad Equation 16: Missing dt Term Without f(t)?

  • theycallmevirgo
  • · Replies 8 ·
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8

High School Why does rearranging 1-1+1-1+1... suggest it equals 1/2?

  • cmb
  • · Replies 20 ·
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20

Graduate A better notation for a differential?

  • MichPod
  • · Replies 4 ·
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4

Undergrad How do a bunch of integrals make an n-simplex or an n-cube?

  • George Keeling
  • · Replies 2 ·
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2

Graduate Analytical solution for an integral in polar coordinates?

  • derya
  • · Replies 2 ·
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2

High School Are there mathematicians that dislike integral calculus?

  • docnet
  • · Replies 15 ·
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15

Undergrad Transform from polar to cartesian

  • mathman
  • · Replies 2 ·
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2

Monotonically convergence to the root

  • mathmari
  • · Replies 21 ·
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21

Undergrad Significance of (1+1/x)^x as x->-inf

  • feynman1
  • · Replies 6 ·
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6

Undergrad Vector and Plane Relationship in 3D

  • Travis Enigma
  • · Replies 4 ·
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4

Undergrad Partial differentiation and explicit functions

  • dyn
  • · Replies 5 ·
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5

Undergrad Infinitesimals' rates of approaching 0

  • feynman1
  • · Replies 6 ·
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6

Graduate What is the unique special function in this integral problem?

  • Fred Wright
  • · Replies 4 ·
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4

Undergrad Visualizing the Fourier transform using the center of mass concept

  • person_random_normal
  • · Replies 2 ·
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2

Undergrad Proof of 1/(x^2) Not Having Limit at 0

  • vibha_ganji
  • · Replies 5 ·
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5

Indefinite integral in division form

  • Elina_Gilbert
  • · Replies 1 ·
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1

Undergrad Magnitude of the gradient of a constant scalar field

  • Gamdschiee
  • · Replies 16 ·
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16