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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.

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

Filters

Undergrad How to tell if a function is differentiable or not

Claire84
Feb 13, 2004 · Replies 26 · Feb 16, 2004

Replies: 26

Undergrad Convert space curve to cartesian

yanyin
Feb 14, 2004 · Replies 4 · Feb 15, 2004

Replies: 4

Undergrad Integragtion Problem with Substitution

Claire84
Feb 12, 2004 · Replies 27 · Feb 14, 2004

Replies: 27

Graduate Help With Number 2: Differiate Electromagnetic Field

jlmac2001
Feb 6, 2004 · Replies 2 · Feb 14, 2004

Replies: 2

Graduate Fourier Analysis: Function's Period & Its Relation to n

wormhole
Feb 13, 2004 · Replies 11 · Feb 14, 2004

Replies: 11

Undergrad Learn Calculus Independently: Advice for Keith

revelator
Feb 4, 2004 · Replies 18 · Feb 12, 2004

Replies: 18

Undergrad Change of variables - transformations

wakingrufus
Feb 10, 2004 · Replies 2 · Feb 11, 2004

Replies: 2

Undergrad Onto and one-to-one composite functions

Claire84
Feb 7, 2004 · Replies 10 · Feb 10, 2004

Replies: 10

Graduate Expressing Hyperboloid as Parametric Function & Tangent Plane

LostInSpace
Feb 8, 2004 · Replies 6 · Feb 10, 2004

Replies: 6

Graduate Something gone horribly wrong (Integration)

Zurtex
Feb 5, 2004 · Replies 19 · Feb 8, 2004

Replies: 19

Graduate What is the difference between surface boundary and point-set boundary?

Electric Jaguar
Feb 5, 2004 · Replies 8 · Feb 8, 2004

Replies: 8

Undergrad Inelastic collisions fired bullet

khawar
Jan 30, 2004 · Replies 2 · Feb 6, 2004

Replies: 2

Graduate Schröder's equation and functional analysis

phoenixthoth
Feb 3, 2004 · Replies 4 · Feb 6, 2004

Replies: 4

Undergrad Calculating an Intergral over C Using Force F and Circle C

jlmac2001
Feb 5, 2004 · Replies 2 · Feb 6, 2004

Replies: 2

High School Finding the Antiderivative of sin^4(x) in Basic Calculus

calculateme
Feb 4, 2004 · Replies 8 · Feb 5, 2004

Replies: 8

Graduate What is the limit of [cot(\pi x)sin(x)]/2sec(x) as x approaches 0?

burge
Feb 4, 2004 · Replies 4 · Feb 5, 2004

Replies: 4

Graduate Find Radius of Circle Given Volume of Solid is 10 Cubic Meters

Roary
Feb 4, 2004 · Replies 2 · Feb 5, 2004

Replies: 2

Undergrad How can I evaluate limits involving trig functions?

burge
Feb 4, 2004 · Replies 6 · Feb 4, 2004

Replies: 6

Undergrad Maximizing the Area of a Triangle in the First Quadrant

babbagee
Feb 3, 2004 · Replies 2 · Feb 4, 2004

Replies: 2

Graduate Upper and Lower Sums: Functions w/ Property?

Jupiter
Feb 2, 2004 · Replies 6 · Feb 3, 2004

Replies: 6

Undergrad How Do You Calculate the Volume of a Solid with Triangular Cross Sections?

HenryF
Jan 29, 2004 · Replies 5 · Feb 2, 2004

Replies: 5

Graduate Proof of the integrability of a step function

stunner5000pt
Jan 26, 2004 · Replies 2 · Feb 2, 2004

Replies: 2

Undergrad How can c be shown to bisect the angle between a and b?

TheMadCapBeta
Feb 1, 2004 · Replies 5 · Feb 2, 2004

Replies: 5

Graduate How to Show Force and Velocity are Perpendicular in a Magnetic Field?

jlmac2001
Jan 28, 2004 · Replies 2 · Feb 1, 2004

Replies: 2

Undergrad What is the missing term in this trig integration problem?

mrbill
Jan 31, 2004 · Replies 3 · Feb 1, 2004

Replies: 3

Undergrad Partial derivatives + Chain rule

babbagee
Jan 28, 2004 · Replies 6 · Jan 30, 2004

Replies: 6

Undergrad What Does R3-->R Mean in Function Mapping?

babbagee
Jan 22, 2004 · Replies 2 · Jan 30, 2004

Replies: 2

Undergrad Find the sum of 1/((n)(n-1)) from n = 1 to 100

PrudensOptimus
Jan 27, 2004 · Replies 5 · Jan 29, 2004

Replies: 5

Undergrad How do you find the speed in this question?

jlmac2001
Jan 27, 2004 · Replies 5 · Jan 28, 2004

Replies: 5

Graduate Master Limits with Analysis Proofs: Get Expert Help Now!

gimpy
Jan 25, 2004 · Replies 5 · Jan 26, 2004

Replies: 5

Undergrad Volume of Ellipse Cross Section Perpendicular to x-Axis

JKLM
Jan 20, 2004 · Replies 4 · Jan 26, 2004

Replies: 4

Undergrad Can You Help Me Solve These Trigonometric Integrals?

noboost4you
Jan 25, 2004 · Replies 11 · Jan 26, 2004

Replies: 11

Undergrad Integrate cos^3xdx - First Clue: Substitute (1-(Sinx)^2)cosxdx

lastlaugh
Jan 24, 2004 · Replies 7 · Jan 25, 2004

Replies: 7

Graduate Solution: Solve f(x)=x2+\int_0^x e^{-t}f(x-t)dt for f(x)

himanshu121
Jan 24, 2004 · Replies 2 · Jan 24, 2004

Replies: 2

High School Review Tips for Calculus Midterms

JKLM
Jan 16, 2004 · Replies 2 · Jan 23, 2004

Replies: 2

Undergrad How to Calculate the Rate of Change of Surface Area for an Expanding Sphere?

JKLM
Jan 20, 2004 · Replies 2 · Jan 23, 2004

Replies: 2

Undergrad Differentiation under the integral sign

hliu8
Jan 21, 2004 · Replies 4 · Jan 23, 2004

Replies: 4

Graduate What is Non-Integer Calculus and How Does it Work?

meemoe_uk
Jan 16, 2004 · Replies 2 · Jan 23, 2004

Replies: 2

Undergrad How to take the derivative of this function

JKLM
Jan 20, 2004 · Replies 2 · Jan 20, 2004

Replies: 2

Graduate What Are the Hottest and Coldest Points on the Unit Ball?

sam2
Jan 19, 2004 · Replies 6 · Jan 20, 2004

Replies: 6

High School Intersect From Two Logarithmic Functions

JDK
Jan 19, 2004 · Replies 3 · Jan 20, 2004

Replies: 3

Undergrad Webpage title: How to Find the Area Bounded by Curves on a Given Interval

noboost4you
Jan 13, 2004 · Replies 9 · Jan 19, 2004

Replies: 9

Undergrad I've done Calculus long time ago But now again I am doing it

Moni
Jan 9, 2004 · Replies 8 · Jan 19, 2004

Replies: 8

Undergrad Solve Limit Question: f(x)=(1+.01x)^(10/x)

ffrpg
Jan 14, 2004 · Replies 4 · Jan 19, 2004

Replies: 4

Undergrad Volume of Revolution: Calculate the Volume

Little Dump
Jan 16, 2004 · Replies 16 · Jan 18, 2004

Replies: 16

Undergrad Continuity And Differentiability

himanshu121
Jan 10, 2004 · Replies 2 · Jan 17, 2004

Replies: 2

Undergrad Describing Points on a Line Using Set and Vector Notation

babbagee
Jan 8, 2004 · Replies 2 · Jan 15, 2004

Replies: 2

Graduate Prove any function f(x) can be written uniquely as f(x) = E(x) + O(x)

gimpy
Jan 15, 2004 · Replies 5 · Jan 15, 2004

Replies: 5

Undergrad Solve Calculus Problem: Minimal Time to Travel 12 km Down Shoreline

Jeebus
Jan 13, 2004 · Replies 2 · Jan 14, 2004

Replies: 2

Poll

Undergrad The General Definition of Instantaneous Speed: A Debate on V=dx/dt vs V=x/t

deda
Jan 13, 2004 · Replies 5 · Jan 14, 2004

Replies: 5

High School What Points Have a Y-Coordinate of -3 and Are 13 Units from (1,2)?

Death
Jan 12, 2004 · Replies 3 · Jan 12, 2004

Replies: 3

Graduate How to Convert Cartesian Navier-Stokes to Cylindrical/Spherical Coordinates?

sam2
Jan 2, 2004 · Replies 2 · Jan 12, 2004

Replies: 2

Undergrad How to Find the Derivative of y=x^y When y is Not Expressed in terms of x?

fffbone
Jan 10, 2004 · Replies 6 · Jan 11, 2004

Replies: 6

Graduate Is the following function Riemann integrable?

moham_87
Jan 10, 2004 · Replies 10 · Jan 10, 2004

Replies: 10

Undergrad Hi again, here is my problem and my efforts

moham_87
Jan 9, 2004 · Replies 2 · Jan 10, 2004

Replies: 2

Undergrad What is the Mean Value Theorem and its applications in calculus?

moham_87
Jan 8, 2004 · Replies 2 · Jan 9, 2004

Replies: 2

Undergrad Easy to understand, hard to solve

moham_87
Jan 8, 2004 · Replies 3 · Jan 9, 2004

Replies: 3

Graduate Describing Points in Configurations using Set Theoretic and Vector Notation

babbagee
Jan 8, 2004 · Replies 2 · Jan 9, 2004

Replies: 2

Undergrad Comparing Areas of x^2 and x^3 in [0,1] Interval

moham_87
Jan 8, 2004 · Replies 4 · Jan 9, 2004

Replies: 4

Graduate What is Lonewolf's proposed method for integrating Ln[x]dx?

PrudensOptimus
Jan 4, 2004 · Replies 5 · Jan 5, 2004

Replies: 5

Graduate Understanding the Vector Laplacian in the Navier Stokes Equations

Brad_Ad23
Dec 28, 2003 · Replies 7 · Jan 4, 2004

Replies: 7

Graduate Area Under ArcTan[x] - Calculate F(x)

PrudensOptimus
Dec 22, 2003 · Replies 10 · Jan 4, 2004

Replies: 10

Graduate General Antiderivative of (2x^3+3x^2+x-1)/((x+1)*((x^2+2x+2)^2))

kallazans
Dec 22, 2003 · Replies 2 · Dec 30, 2003

Replies: 2

Graduate Average distance between points on a circle

phoenixthoth
Dec 28, 2003 · Replies 2 · Dec 29, 2003

Replies: 2

Undergrad Ssec^3(w)dw is very easy but you need to pay atention

kallazans
Dec 20, 2003 · Replies 2 · Dec 27, 2003

Replies: 2

Graduate Can You Solve These Advanced Calculus Problems?

jherasjr
Dec 17, 2003 · Replies 2 · Dec 25, 2003

Replies: 2

Graduate Triple Integrals and the Circumference of a Unit Circle: An Exploration

Oxymoron
Dec 18, 2003 · Replies 5 · Dec 22, 2003

Replies: 5

Low number of kids passing BC Calc

al2six
Dec 16, 2003 · Replies 2 · Dec 22, 2003

Replies: 2

Graduate Functions Satisfying the Given Relations

phoenixthoth
Nov 25, 2003 · Replies 21 · Dec 22, 2003

Replies: 21

Undergrad Maximizing Volume: How to Insert a Cone in a Sphere | Help!

Timc150
Dec 15, 2003 · Replies 2 · Dec 22, 2003

Replies: 2

Graduate Differential function for which limit as x-> infinity

yxgao
Dec 20, 2003 · Replies 9 · Dec 22, 2003

Replies: 9

Graduate Line Integral Interpretations: Physical and Geometric Uses

gnome
Dec 21, 2003 · Replies 2 · Dec 22, 2003

Replies: 2

Graduate True or false that all real function is an antiderivative

kallazans
Dec 20, 2003 · Replies 2 · Dec 20, 2003

Replies: 2

Undergrad Calculus Test Prep - Answers + Explanations

hodeez
Dec 17, 2003 · Replies 11 · Dec 19, 2003

Replies: 11

Undergrad Master the Chain and Power Rules: Simplifying y=x^tan(x) and Solving for y

Bailey
Dec 9, 2003 · Replies 11 · Dec 18, 2003

Replies: 11

Undergrad Can the Integral of csc2 be Simplified Using the Tabular Method?

himanshu121
Dec 10, 2003 · Replies 12 · Dec 17, 2003

Replies: 12

Graduate How to integrate without trigonometric substitution

kallazans
Dec 13, 2003 · Replies 2 · Dec 16, 2003

Replies: 2

Undergrad Maximize Profit & Profit Calc for Jacket Prod.

kenny
Dec 13, 2003 · Replies 8 · Dec 15, 2003

Replies: 8

Graduate Does dx have mulitple personalites?

Johnny
Dec 13, 2003 · Replies 6 · Dec 14, 2003

Replies: 6

Graduate Calculating Sums of Infinite Series for Nille

nille40
Dec 8, 2003 · Replies 7 · Dec 13, 2003

Replies: 7

Undergrad Find the height of the rectangle

PrudensOptimus
Dec 11, 2003 · Replies 5 · Dec 12, 2003

Replies: 5

Graduate How to Find the Extremal for This Integral?

jordan23
Dec 10, 2003 · Replies 5 · Dec 12, 2003

Replies: 5

High School What is the slope of a 0 degree angle and how can you find it?

to_kool2003
Dec 8, 2003 · Replies 15 · Dec 10, 2003

Replies: 15

Undergrad How Do I Integrate Nested Trigonometric Functions?

Allday
Dec 4, 2003 · Replies 2 · Dec 10, 2003

Replies: 2

Undergrad Practice Limits in Calculus - Find Great Questions Here!

franz32
Dec 7, 2003 · Replies 3 · Dec 9, 2003

Replies: 3

Graduate Need help on easy surface integral

KillaMarcilla
Dec 6, 2003 · Replies 8 · Dec 8, 2003

Replies: 8

Undergrad How can I show f(x)=x2-cosx=0 has exactly 2 solutions?

StephenPrivitera
Dec 7, 2003 · Replies 8 · Dec 8, 2003

Replies: 8

Graduate Volume of Solid Generated by Ellipse Quadrant Revolving About Major/Minor Axis

himanshu121
Dec 8, 2003 · Replies 8 · Dec 8, 2003

Replies: 8

Graduate Proving an Identity Using Series Manipulation

nille40
Dec 5, 2003 · Replies 2 · Dec 8, 2003

Replies: 2

Graduate Solving Quadratic Problem: Find \omega

dhris
Dec 5, 2003 · Replies 2 · Dec 7, 2003

Replies: 2

Graduate The Dirac delta function question

MathematicalPhysicist
Nov 30, 2003 · Replies 5 · Dec 6, 2003

Replies: 5

High School What is the Integral of 2^(x)?

MathematicalPhysics
Dec 5, 2003 · Replies 2 · Dec 5, 2003

Replies: 2

High School I can't get the hang of those graphs

Smelly
Dec 3, 2003 · Replies 3 · Dec 5, 2003

Replies: 3

High School Why Is the Chain Rule Used in Differentiating Volume with Respect to Time?

moooocow
Dec 4, 2003 · Replies 5 · Dec 4, 2003

Replies: 5

Undergrad What Are the Prerequisites for Solving Physics Problems Using Calculus?

PrudensOptimus
Dec 3, 2003 · Replies 13 · Dec 4, 2003

Replies: 13

Graduate How do I simplify the expression Differentiating Integrals?

AngelofMusic
Dec 3, 2003 · Replies 3 · Dec 3, 2003

Replies: 3

High School Help can someone differentiate e^(nx)

Bailey
Nov 30, 2003 · Replies 10 · Dec 2, 2003

Replies: 10

Graduate Derive the following, for any integer k

MRGSLSE
Nov 30, 2003 · Replies 5 · Dec 1, 2003

Replies: 5

Undergrad How can I change this y=2/3x^(3/2)-1/2x^(1/2)

gigi9
Nov 30, 2003 · Replies 6 · Dec 1, 2003

Replies: 6

Undergrad Volumes Generated by Revolving the Area Bounded by x=y^2 and x=4

gigi9
Nov 30, 2003 · Replies 2 · Dec 1, 2003

Replies: 2

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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