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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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Differential Equations

Mixed approximation vs. full approximation for a power series expansion

6.8K threadsApr 17, 2026

Undergrad Mixed approximation vs. full approximation for a power series expansion

Apr 17, 2026

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Undergrad How to Maximize Area for a 1-km Racetrack with Semicircles?

pacman99
Apr 25, 2004 · Replies 2 · May 2, 2004

Replies: 2

Graduate Question/Puzzle Regarding Space-Curvature Model

Edwin
May 2, 2004 · Replies 2 · May 2, 2004

Replies: 2

Graduate Minimum distance between ellipses

Coelum
May 1, 2004 · Replies 2 · May 2, 2004

Replies: 2

Graduate Problem with the Divergence Theorem

Claire84
Apr 30, 2004 · Replies 7 · May 2, 2004

Replies: 7

Undergrad What is the partial sum of the series?

Feynmanfan
Apr 25, 2004 · Replies 2 · May 2, 2004

Replies: 2

Graduate Find the total distance traveled by the object

Leighton
Apr 24, 2004 · Replies 2 · May 1, 2004

Replies: 2

High School Is \frac {1}{\infty} equal to 0 or infinitely close to 0?

Warr
Apr 30, 2004 · Replies 9 · May 1, 2004

Replies: 9

Graduate Sum an infinite series by definite integrals

KLscilevothma
Apr 20, 2004 · Replies 15 · May 1, 2004

Replies: 15

Graduate Help Solve Integration Theory Assignment

mooberrymarz
Apr 24, 2004 · Replies 2 · May 1, 2004

Replies: 2

Graduate Stumped on \sum_{n=0}^{\infty}{\frac{1}{a_{a_{n}}}}

Nexus[Free-DC]
Apr 29, 2004 · Replies 4 · Apr 30, 2004

Replies: 4

Undergrad What is the maximum height reached by the arrow?

jen043081
Apr 29, 2004 · Replies 3 · Apr 30, 2004

Replies: 3

Undergrad Solve Vector Question: Find Shortest Distance from Point C to Line 1

padraig
Apr 29, 2004 · Replies 2 · Apr 30, 2004

Replies: 2

Undergrad Write the vector V=i+2j+3k at the point (x,y,z)=(1,1,0)

jlmac2001
Apr 23, 2004 · Replies 2 · Apr 30, 2004

Replies: 2

Undergrad Can someone double check this, or tell me happened?

JasonRox
Apr 27, 2004 · Replies 9 · Apr 30, 2004

Replies: 9

Undergrad Solving Double Integrals with Change of Variables

Zaphodx57x
Apr 29, 2004 · Replies 3 · Apr 29, 2004

Replies: 3

Undergrad What Are the Optimal Dimensions for a Maximized Rectangular Enclosure?

travishillier
Apr 21, 2004 · Replies 12 · Apr 29, 2004

Replies: 12

Undergrad Profit Equation (need to maximze profit)

Duke77
Apr 28, 2004 · Replies 2 · Apr 28, 2004

Replies: 2

Undergrad Is there a limit to the decimal expression .999?

ram1024
Apr 27, 2004 · Replies 35 · Apr 28, 2004

2

Replies: 35

Undergrad Profit Equation (need to maximize profit)

Duke77
Apr 28, 2004 · Replies 11 · Apr 28, 2004

Replies: 11

Undergrad Calculating Horizontal Run for 800ft Hill Grade of 8%

angiejohn
Apr 28, 2004 · Replies 2 · Apr 28, 2004

Replies: 2

Can Deleted Data Be Retrieved?

claire_ye
Apr 27, 2004 · Replies 2 · Apr 27, 2004

Replies: 2

Undergrad Does the Sum of this Infinite Series Converge or Diverge?

JonF
Apr 26, 2004 · Replies 9 · Apr 27, 2004

Replies: 9

Undergrad Help with Couple of Calculus Problems

BaNZai
Apr 26, 2004 · Replies 5 · Apr 27, 2004

Replies: 5

Undergrad How do I rewrite ln9-3ln(squareroot 3) + ln81 in the form kln3?

phy
Apr 26, 2004 · Replies 14 · Apr 27, 2004

Replies: 14

High School How Do You Prove This Trigonometric Identity?

fergie
Apr 21, 2004 · Replies 12 · Apr 27, 2004

Replies: 12

Undergrad Differentiating x^y + y^x + (lnx)^x etc

pig
Apr 26, 2004 · Replies 6 · Apr 27, 2004

Replies: 6

Graduate Solving Fourier Transform Problem: f(x) = e^(-pi*x^2)

galipop
Apr 26, 2004 · Replies 5 · Apr 27, 2004

Replies: 5

Undergrad What is the derivative of the equation for volume?

stuckie27
Apr 26, 2004 · Replies 15 · Apr 27, 2004

Replies: 15

Undergrad Calculate the Fourier Sine Series of f(x)=sin(x/2)

nizama
Apr 25, 2004 · Replies 9 · Apr 27, 2004

Replies: 9

Undergrad Calculating Distance Between Two Points: Simplifying Radical Expressions

Xavier
Apr 26, 2004 · Replies 2 · Apr 26, 2004

Replies: 2

Undergrad Is Simpson's Rule Effective for Solving the Intersecting Cylinders Problem?

Xishan
Apr 22, 2004 · Replies 2 · Apr 26, 2004

Replies: 2

High School What is a Null Set and Why Does It Have Measure Zero?

mooberrymarz
Apr 25, 2004 · Replies 10 · Apr 26, 2004

Replies: 10

Graduate Area of a Hyperboloid in a Sphere: Calculating the Integral

LostInSpace
Apr 22, 2004 · Replies 6 · Apr 26, 2004

Replies: 6

Undergrad Integrating sinx/x between (0,infinty)?

saint_n
Apr 25, 2004 · Replies 15 · Apr 26, 2004

Replies: 15

Undergrad What is the relationship between average cost and marginal cost in production?

pattiecake
Apr 25, 2004 · Replies 5 · Apr 26, 2004

Replies: 5

Undergrad What is the derivative of a complex function?

Pyrokenesis
Apr 23, 2004 · Replies 5 · Apr 25, 2004

Replies: 5

Undergrad Find the velocity vector for the particle at any time

Tiki
Apr 25, 2004 · Replies 3 · Apr 25, 2004

Replies: 3

Undergrad Does the Integral of sin(x)/x from 0 to Infinity Converge?

saint_n
Apr 25, 2004 · Replies 2 · Apr 25, 2004

Replies: 2

Undergrad How Do You Prove the Existence of an Improper Integral?

saint_n
Apr 25, 2004 · Replies 2 · Apr 25, 2004

Replies: 2

Undergrad How do you intergrate cos^3 [x] .dx

suddy72
Apr 21, 2004 · Replies 4 · Apr 24, 2004

Replies: 4

Graduate Prove that f = 0 if [tex]\int |f|= 0[\tex]

mooberrymarz
Apr 24, 2004 · Replies 18 · Apr 24, 2004

Replies: 18

High School Revising Maths: Understanding Differentiation of e^x

Zurtex
Apr 21, 2004 · Replies 25 · Apr 23, 2004

Replies: 25

High School How Do You Solve (16-x²)³/2 = 40 for x?

angel
Apr 22, 2004 · Replies 2 · Apr 23, 2004

Replies: 2

Undergrad Is f(x) = 1/√x Continuous as x Approaches 4?

gimpy
Apr 21, 2004 · Replies 8 · Apr 23, 2004

Replies: 8

Graduate Calculating Surface Area of Intersecting Cylinders with Non-Perpendicular Axes

Xishan
Apr 19, 2004 · Replies 9 · Apr 22, 2004

Replies: 9

Undergrad "Did I Solve the Limit Value Question on Today's Exam Correctly?

KLscilevothma
Apr 20, 2004 · Replies 2 · Apr 22, 2004

Replies: 2

Undergrad A couple pretty easy integration problems im stuck on

mathrocks
Apr 21, 2004 · Replies 3 · Apr 21, 2004

Replies: 3

High School AP Calc AB Sample Problem Help (Integration)

Inspector Gadget
Apr 21, 2004 · Replies 3 · Apr 21, 2004

Replies: 3

Undergrad Optimizing Sum of Squares with Two Positive Numbers

Agent_J
Apr 21, 2004 · Replies 2 · Apr 21, 2004

Replies: 2

Undergrad 2 vector problems(am i doing them right)

ilikephysics
Apr 20, 2004 · Replies 3 · Apr 21, 2004

Replies: 3

Undergrad Related rate problems and the chain rule

kdinser
Apr 21, 2004 · Replies 2 · Apr 21, 2004

Replies: 2

Undergrad What is the equation of a cylinder with an angled axis and variable intercepts?

Xishan
Apr 19, 2004 · Replies 4 · Apr 21, 2004

Replies: 4

Graduate Analyzing Motion: Dog Chasing Rabbit

Ebolamonk3y
Apr 20, 2004 · Replies 8 · Apr 20, 2004

Replies: 8

Undergrad Where Can I Find Useful Resources for Vector Calculus?

Macgyver
Apr 8, 2004 · Replies 10 · Apr 20, 2004

Replies: 10

Undergrad Write # as a ratio of two integers

noboost4you
Apr 18, 2004 · Replies 4 · Apr 20, 2004

Replies: 4

Graduate Proving Existence of $\delta$ for Continuous Function $f$ s.t. $f(c)<5$

gimpy
Apr 19, 2004 · Replies 4 · Apr 20, 2004

Replies: 4

Graduate Anyone have time to check my Jacobian for this transformation?

Theelectricchild
Apr 19, 2004 · Replies 6 · Apr 20, 2004

Replies: 6

Graduate Confused About Fibonacci Sequence Problem?

noboost4you
Apr 17, 2004 · Replies 6 · Apr 18, 2004

Replies: 6

Undergrad What's the purpose of Taylor Polynomials?

dinosoup
Apr 18, 2004 · Replies 7 · Apr 18, 2004

Replies: 7

Undergrad Confused about taylor approximation

LostInSpace
Apr 18, 2004 · Replies 2 · Apr 18, 2004

Replies: 2

Undergrad Finding the Rate of Change of Area with Decreasing Length and Increasing Width

kioria
Apr 18, 2004 · Replies 2 · Apr 18, 2004

Replies: 2

Undergrad Wacky change of variables for Multi integration

Theelectricchild
Apr 18, 2004 · Replies 4 · Apr 18, 2004

Replies: 4

Graduate Understanding Vector Calculus: A Brief Summary

deltabourne
Apr 17, 2004 · Replies 2 · Apr 18, 2004

Replies: 2

Graduate Reversing: Properties of a continous Function.

kioria
Apr 17, 2004 · Replies 7 · Apr 17, 2004

Replies: 7

Undergrad Maximising Profit: Solving Linear Demand Functions

sand7000
Apr 10, 2004 · Replies 2 · Apr 17, 2004

Replies: 2

Undergrad What Calculator Shall I Buy? Give me advice.

dividertabs
Apr 15, 2004 · Replies 7 · Apr 17, 2004

Replies: 7

Graduate Distance from a point on a sphere to a point on a plane

Divergent13
Apr 17, 2004 · Replies 6 · Apr 17, 2004

Replies: 6

Graduate What is the relationship between curl and surface integrals in vector calculus?

we are the robots
Apr 10, 2004 · Replies 2 · Apr 17, 2004

Replies: 2

Undergrad Easy derivitive giving me some trouble

kdinser
Apr 17, 2004 · Replies 3 · Apr 17, 2004

Replies: 3

Undergrad What is the meaning of Rootof in my CAS?

Matt Jacques
Apr 16, 2004 · Replies 2 · Apr 17, 2004

Replies: 2

Undergrad Troubleshooting the Integral of dx/(x-sqrt(x+2)) in Calculus 2

mathrocks
Apr 14, 2004 · Replies 2 · Apr 15, 2004

Replies: 2

Undergrad How Can You Prove the Limit of (n-1/n) as n Approaches Infinity Equals 1?

Ed Quanta
Apr 8, 2004 · Replies 2 · Apr 15, 2004

Replies: 2

Graduate How do I solve this line integral problem with given constraints?

nizama
Apr 14, 2004 · Replies 2 · Apr 15, 2004

Replies: 2

Undergrad Solving Exponential Function: (0,4) & (5,1/2)

Inspector Gadget
Apr 6, 2004 · Replies 2 · Apr 13, 2004

Replies: 2

Graduate Almost All" Numbers in [0,1] are Satanic

EL
Apr 6, 2004 · Replies 2 · Apr 13, 2004

Replies: 2

Graduate Estimating \int_{0}^{1/2}\frac{1}{\sqrt{1+x^3}}dx using Power Series

AngelofMusic
Apr 13, 2004 · Replies 5 · Apr 13, 2004

Replies: 5

Poll

Undergrad Formal Definition of Limits, as x -> infinity

kioria
Apr 11, 2004 · Replies 13 · Apr 13, 2004

Replies: 13

Undergrad Understanding the Two Solutions for Derivatives of (2x+y)/(x-3y)=4

Inspector Gadget
Apr 11, 2004 · Replies 6 · Apr 12, 2004

Replies: 6

Undergrad What is the connection between the roots of a function and its derivative?

Caldus
Apr 10, 2004 · Replies 7 · Apr 12, 2004

Replies: 7

Undergrad Having some difficulty with a Trip. Integral in Cylindrical Coordinates

Divergent13
Apr 11, 2004 · Replies 3 · Apr 11, 2004

Replies: 3

Graduate Learning Nonstandard Analysis: Understanding Equivalence Relations

honestrosewater
Apr 11, 2004 · Replies 2 · Apr 11, 2004

Replies: 2

High School How Do I Find the Intersection of \sin(x) and \cos(x)?

expscv
Apr 11, 2004 · Replies 19 · Apr 11, 2004

Replies: 19

Undergrad Another Triple Integral Question

Theelectricchild
Apr 10, 2004 · Replies 7 · Apr 11, 2004

Replies: 7

Graduate Solving a Question on L'Hopital's Rule

Kurdt
Apr 9, 2004 · Replies 7 · Apr 10, 2004

Replies: 7

Undergrad How Do You Find the Volume of Water in a Leaking Cylindrical Bucket Over Time?

jlmac2001
Apr 8, 2004 · Replies 6 · Apr 10, 2004

Replies: 6

Undergrad How Are Limits for Inverse Trigonometric Functions Derived?

himanshu121
Apr 10, 2004 · Replies 1 · Apr 10, 2004

Replies: 1

Undergrad Finding the Sum of n/[(n+1)(n+2)(n+3)]

Feynmanfan
Apr 7, 2004 · Replies 13 · Apr 9, 2004

Replies: 13

Graduate Solving Position Vector Problem: Find Acceleration with |f|^2 = 260 + 64 cos3t

PJH20
Apr 9, 2004 · Replies 3 · Apr 9, 2004

Replies: 3

Graduate How Do I Verify Legendre Polynomials and Their Orthogonality?

ilikephysics
Apr 8, 2004 · Replies 2 · Apr 9, 2004

Replies: 2

Graduate Integrating Difficult Integrals: (1-x^2)(f ''(x)) & (a^2-x^2)(f ''(x))

Falcon
Apr 7, 2004 · Replies 3 · Apr 8, 2004

Replies: 3

Graduate Definite product of zero and infinity?

Antonio Lao
Apr 3, 2004 · Replies 35 · Apr 8, 2004

2

Replies: 35

Undergrad How do I sketch the graph of f(x, y) = sin(y) using x, y, and z cross sections?

phy
Mar 22, 2004 · Replies 10 · Apr 7, 2004

Replies: 10

Undergrad I'm haveing optimization problems

JonF
Apr 6, 2004 · Replies 3 · Apr 7, 2004

Replies: 3

Undergrad Possible Mistakes in Calculus Problems

physicszman
Apr 6, 2004 · Replies 6 · Apr 7, 2004

Replies: 6

Undergrad What are some interesting topics for a calculus paper?

Jez
Apr 7, 2004 · Replies 2 · Apr 7, 2004

Replies: 2

Graduate How Do You Prove the Integral of Cosine Functions Using Exponential Forms?

jlmac2001
Apr 5, 2004 · Replies 3 · Apr 7, 2004

Replies: 3

Graduate How can I solve the integral of tan^3(x^2)sec^4(x^2) dx?

mathrocks
Apr 4, 2004 · Replies 23 · Apr 7, 2004

Replies: 23

Undergrad What is the procedure for testing convergence of alternating series?

noboost4you
Apr 6, 2004 · Replies 6 · Apr 6, 2004

Replies: 6

High School How Do You Calculate the Original Area of a Parallelogram?

travishillier
Apr 6, 2004 · Replies 3 · Apr 6, 2004

Replies: 3

High School Calculus PDFs: Learn & Understand with Resources

GrahamH
Mar 24, 2004 · Replies 2 · Apr 6, 2004

Replies: 2

sidebar

Calculus

Welcome to the Calculus forum!

Calculus is a branch of mathematics that focuses on the study of continuous change and motion.

It comprises two primary branches: differential calculus, which examines rates of change and slopes of curves, and integral calculus, which deals with accumulation and the calculation of areas under curves. Developed independently by Isaac Newton and Gottfried Wilhelm Leibniz in the 17th century, calculus has become a fundamental tool in various scientific and engineering disciplines.

It provides a powerful framework for analyzing and modeling dynamic processes, such as motion, growth, and decay, and forms the basis for understanding concepts like derivatives and integrals, essential for advanced mathematical and scientific studies.

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