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 Determine if a sequence {an} is monotonic, bounded, convergent

  • sara_87
  • · Replies 3 ·
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High School Integration of (t+1)²/t² without substitution

  • maxpayne_lhp
  • · Replies 1 ·
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Undergrad Volume of Frustum (Truncated Cone)

  • silvashadow
  • · Replies 5 ·
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5

Graduate Early Examples of Exhaustion Methods in Mathematics

  • titaniumx3
  • · Replies 5 ·
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5

Undergrad Finding the limit of sum(1^p+2^p+...+n^p)/n^(p+1)

  • sadhu
  • · Replies 33 ·
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Undergrad Integral of e^2x/(1+e^x) after substitution

  • Sparky_
  • · Replies 13 ·
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Undergrad Open source alternatives to Maple and physics modeling software

  • henxan
  • · Replies 1 ·
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1

Undergrad How to evaluate an indefinite integral

  • y_lindsay
  • · Replies 14 ·
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14

Undergrad Why Does Sin(x) = 1 Have Different Solutions Compared to Sin(2x) = 1?

  • danglade
  • · Replies 2 ·
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2

Graduate Series Approximation for y with Derivative of Floor Function

  • lewis198
  • · Replies 13 ·
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13

High School Graphical Relationship between Sine and Cosine Functions

  • danglade
  • · Replies 2 ·
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2

Graduate What is a Dyadic Form and What Does it Mean?

  • daudaudaudau
  • · Replies 2 ·
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2

High School Solve Quadratic Question Urgently: Find Value of p

  • thomas49th
  • · Replies 4 ·
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4

Undergrad What is N in the epsilon-N definition of convergence?

  • Mattofix
  • · Replies 7 ·
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7

Undergrad Taylor polynomial for sin(x−x²) with o(x) remainder

  • y_lindsay
  • · Replies 1 ·
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1

Seeking Calculus: Early Transcendental 8th edition by Anton, Bivens, Davis

  • plutoisacomet
  • · Replies 2 ·
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2

High School I'm practicing how to differentiate equations.

  • silvashadow
  • · Replies 5 ·
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5

High School What are the best calculus books for beginners?

  • Liger20
  • · Replies 16 ·
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16

Undergrad Why is the Coordinate of Point P (3/2, 0) in this Differentiation Problem?

  • david18
  • · Replies 2 ·
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2

Undergrad Maximize Volume of Right Circular Cone with Constant Slant Edge

  • disfused_3289
  • · Replies 1 ·
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1

Graduate Cauchy Condensation Proof

  • linuxux
  • · Replies 6 ·
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6

High School Is f(x) = x² + 4 the same as y = x² + 4?

  • thomas49th
  • · Replies 2 ·
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2

Graduate How Can I Evaluate This Integral of a Rational Function?

  • y_lindsay
  • · Replies 6 ·
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6

Undergrad How Do You Find the X-Coordinate of Point Q on Curve C?

  • thomas49th
  • · Replies 3 ·
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3

Undergrad Proving the reduction formula for ∫(a²−x²)ⁿ dx

  • uman
  • · Replies 2 ·
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2

Graduate How does the gradient show the direction of maximum increase?

  • daudaudaudau
  • · Replies 4 ·
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4

Undergrad How Do You Prove the Summation Formula S_{n} = \frac{n}{2}(2a + L)?

  • thomas49th
  • · Replies 1 ·
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1

High School Finding this set of values for x

  • thomas49th
  • · Replies 1 ·
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1

Undergrad How does the minimum function work in Spivak's epsilon-delta limit proofs?

  • uak01
  • · Replies 2 ·
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2

High School Finding One-Sided Limits: The Simplest Way

  • mooneh
  • · Replies 4 ·
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4

High School Will college calculus start with integration or review differentiation first?

  • The_Z_Factor
  • · Replies 22 ·
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22

Undergrad Book Wrong? Solving g'(x) = [p(2r sin rx + n)^(p-1)] * (2r^2cos rx)

  • Brin
  • · Replies 3 ·
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3

Graduate Does y = ax^3 + bx^2 + cx + d Have Two Distinct Turning Points if b^2 > 3ac?

  • disfused_3289
  • · Replies 5 ·
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5

Undergrad Partial Fractions: Solve Integral of 1/y^2-1 dx

  • The_ArtofScience
  • · Replies 5 ·
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5

Undergrad Solving differential equations with definite integrals?

  • awvvu
  • · Replies 2 ·
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2

Graduate Can Complex Analytic Functions Have Uncountable Singular Points?

  • jostpuur
  • · Replies 3 ·
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3

Undergrad Is the Integral Syntax Correct for dx = v dt and x = \int v dt?

  • konik
  • · Replies 5 ·
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5

Undergrad Why does f(x,y)=0 give straight lines when f is quadratic?

  • dodo
  • · Replies 3 ·
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3

Undergrad Finding n so that (1+1/n)^n approximates e to 9 decimal places

  • Projector
  • · Replies 8 ·
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8

Undergrad Integrating (x^2+1)^{-3/2} using Substitution

  • uman
  • · Replies 14 ·
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14

Undergrad Partial Fractions: Solving Examples with a Novel Method

  • WORLD-HEN
  • · Replies 5 ·
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5

Graduate Differentiation operators similar to exponents?

  • Gib Z
  • · Replies 17 ·
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17

Graduate Difference between d²y/d²x and d²y/dx²

  • rohanprabhu
  • · Replies 9 ·
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9

Graduate Inverse Fourier Transform: Impact on Integration Limits

  • hula
  • · Replies 1 ·
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1

Graduate The contiunity equation and differentiation

  • Cyrus
  • · Replies 23 ·
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23

Graduate Solve the Limit on a_n of Log^n and Pi^n(3)

  • sobolev
  • · Replies 29 ·
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Graduate Constructing a Borel set with desired properties

  • rudinreader
  • · Replies 7 ·
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7

Undergrad Oblique asymptotes - What am I doing wrong?

  • jachyra
  • · Replies 1 ·
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1

Graduate Proving Integration Notation for Smooth Function f

  • mathboy
  • · Replies 5 ·
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5

Undergrad How to Evaluate Indefinite Integrals with Radical Expressions?

  • y_lindsay
  • · Replies 6 ·
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6

Graduate A tricky countour integral (branch cuts)

  • dnquark
  • · Replies 1 ·
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1

High School How to remember derivatives of trig functions

  • Paz
  • · Replies 15 ·
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15

Graduate What's the Best Way to Evaluate This Limit?

  • Philcorp
  • · Replies 3 ·
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3

Undergrad Evaluating Undefined Limit of Calculus Final

  • uman
  • · Replies 6 ·
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6

High School Integration by parts for ∫x ln x dx

  • ricekrispie
  • · Replies 3 ·
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3

Undergrad What is the significance of the number e and Euler's formula?

  • okay
  • · Replies 37 ·
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37

Graduate Weak Convergence of A in l^2: Does it Preserve Closedness?

  • HMY
  • · Replies 1 ·
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Graduate How Can dx and dy Be Manipulated in Differential Equations and Integrals?

  • pivoxa15
  • · Replies 23 ·
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Graduate Algebraic Simplification of 3^{x^2-x-z}+3^{y^2-y-x}+3^{z^2-z-y}=1

  • santa
  • · Replies 2 ·
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2

Undergrad Hints for Integrating sqrt(1 +a^2*x^2)dx

  • j-lee00
  • · Replies 2 ·
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2

Graduate What Are Conformal Maps in Complex Analysis?

  • Grufey
  • · Replies 1 ·
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1

Graduate Something a little odd - Lebesgue vs Riemann integral

  • quasar987
  • · Replies 6 ·
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6

Graduate Why can i not use induction here?

  • linuxux
  • · Replies 3 ·
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3

Undergrad Calculus I - without a calculator

  • stevie2112
  • · Replies 8 ·
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8

Undergrad Spivak, Calculus - Where to find or is it covered?

  • rocomath
  • · Replies 4 ·
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4

Undergrad Dy/dx as Fraction: A-Level Maths/Further Maths Explanation

  • barnaby
  • · Replies 5 ·
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5

Undergrad Is there solution for this kind of equation

  • mist
  • · Replies 2 ·
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2

Graduate Why does e^(iπt) × e^(iπ) = −e^(iπt)?

  • swoosh
  • · Replies 2 ·
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2

High School Which AP Calculus Exam Should I Take? AB or BC

  • chuckd1356
  • · Replies 21 ·
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21

Undergrad How do I specify derivatives in C++ for use in the 4th order Runge-Kutta method?

  • brokenlynx
  • · Replies 1 ·
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1

Graduate What is the meaning of 'delta' in variational calculations?

  • jostpuur
  • · Replies 7 ·
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7

Undergrad Do Infinite Series and Sequences Converge or Diverge?

  • fubag
  • · Replies 4 ·
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4

High School How Is Gravity Modeled in Algebraic Equations?

  • NerfMonkey
  • · Replies 6 ·
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6

Undergrad Why Can't You Simplify Natural Logs of Negative Numbers?

  • BackEMF
  • · Replies 3 ·
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3

Undergrad Prove a0+a1x+a2x^2+...+anx^n=0 given integral condition

  • inferi
  • · Replies 6 ·
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6

Graduate How to Prove that g(x) is Increasing on [0, Infinity) and f(x) = 0 on [0, c]?

  • inferi
  • · Replies 22 ·
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22

Graduate Can Gamma(i) be Expressed in Terms of Elementary Functions? Bob

  • bobbyk
  • · Replies 12 ·
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12

Graduate Analytic Function Theorem: A Continuously Differentiable f(z)

  • Dragonfall
  • · Replies 7 ·
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7

Graduate Why is this set closed in l² but has no minimum norm element?

  • smiley2
  • · Replies 1 ·
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1

Undergrad I have to prove x^3 is differentiable at x=4

  • Caeder
  • · Replies 6 ·
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6

Graduate What is the Convergence of the Fibonacci Sequence?

  • al-mahed
  • · Replies 12 ·
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12

Undergrad Have exponential graph, find equation?

  • ww2steel
  • · Replies 4 ·
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4

Graduate Proving Convergence and Finding Limit of Recursive Sequence

  • Caeder
  • · Replies 8 ·
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8

Undergrad What is the Limit of the Cubic and Square Root Functions for X=64?

  • racer
  • · Replies 15 ·
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15

Undergrad Why does e have the property that d(e^x)/dx = e^x?

  • arron
  • · Replies 12 ·
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12

Undergrad How Do I Find the Intersection of the Surfaces z=x^2+y^2 and x^2+y^2+z^2=2?

  • astrokat11
  • · Replies 5 ·
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5

Graduate Is compactness preserved under function mappings?

  • deanslist1411
  • · Replies 3 ·
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3

Undergrad Help w/First Fundamental Theorem of Calculus

  • Hurricane3
  • · Replies 2 ·
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2

Graduate Volume under a surface which is cut by a circle

  • Skorpan
  • · Replies 4 ·
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4

Graduate How Do You Calculate the Taylor Polynomial of Degree 10 for sin(2x) at x=0?

  • sdg612
  • · Replies 4 ·
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4

Undergrad Integral Test for Convergence/Divergence

  • sdg612
  • · Replies 4 ·
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4

Graduate Uniform continuity and boundedness

  • mgiddy911
  • · Replies 6 ·
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6

Graduate Associated Legendre functions problem

  • moy11111
  • · Replies 1 ·
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1

Graduate Finding the highest point on a curve of intersection of an ellipsoid and a plane

  • sdobbers
  • · Replies 1 ·
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1

Undergrad Do these two infinite series converge or diverge?

  • sdg612
  • · Replies 4 ·
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4

Undergrad What is the Del Operator in Vector Analysis and How Does It Work?

  • okay
  • · Replies 5 ·
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5

Undergrad Deriving ln(x) series

  • jbowers9
  • · Replies 2 ·
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2

Undergrad Unknown integration tricks in a book

  • Pollywoggy
  • · Replies 18 ·
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18

Undergrad Integrate (5x+2)dx/(x-2) from 0->1

  • erjkism
  • · Replies 6 ·
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6

Graduate Is Pdx+Qdy Locally Exact in R`? Prove \intPdx+Qdy=0 for Cycles in R`

  • sathish mat
  • · Replies 1 ·
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1