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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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High School Graphing Increase/Decrease Intervals of a Function

calc
Jan 20, 2005 · Replies 2 · Jan 20, 2005

Replies: 2

Graduate Two sequences defined for all naturals by

quasar987
Jan 13, 2005 · Replies 2 · Jan 20, 2005

Replies: 2

High School What does the graph of lnx^2 look like?

calc
Jan 20, 2005 · Replies 5 · Jan 20, 2005

Replies: 5

Undergrad How to Solve Integrals for Beginners

Physicsisfun2005
Jan 17, 2005 · Replies 7 · Jan 20, 2005

Replies: 7

Graphing Program for fn's of 2 variables.

JFo
Jan 12, 2005 · Replies 2 · Jan 19, 2005

Replies: 2

Graduate Infinite graph with finite area?

kreil
Jan 18, 2005 · Replies 31 · Jan 19, 2005

2

Replies: 31

Graduate Where Does Bernoulli's Inequality Fall Short?

quasar987
Jan 13, 2005 · Replies 14 · Jan 19, 2005

Replies: 14

Undergrad I finding the area of a function using integrals and logs

Juche
Jan 16, 2005 · Replies 13 · Jan 19, 2005

Replies: 13

Graduate Solving 2nd Order Diff EQ: G(x), Joe Needs Help

josephcollins
Jan 18, 2005 · Replies 6 · Jan 19, 2005

Replies: 6

Undergrad Easy proof don't know where i am going wrong

fresh
Jan 19, 2005 · Replies 2 · Jan 19, 2005

Replies: 2

Graduate Finding Limits for Polar Coordinate Area Integration

daster
Jan 18, 2005 · Replies 7 · Jan 18, 2005

Replies: 7

High School Mastering Integrals: Solving the Anti-Derivative of 7x^-1 with Ease

Hygelac
Jan 17, 2005 · Replies 7 · Jan 18, 2005

Replies: 7

Graduate QM Integral and Online Integral Tables

longbusy
Jan 17, 2005 · Replies 5 · Jan 17, 2005

Replies: 5

Undergrad How can I determine if a given integral is solvable?

bomba923
Jan 16, 2005 · Replies 8 · Jan 17, 2005

Replies: 8

Undergrad Solving $\lim_{n\rightarrow \o}\frac{1}{x}^x$ Problem

Physicsisfun2005
Jan 17, 2005 · Replies 2 · Jan 17, 2005

Replies: 2

Undergrad What is the Proof of Differentiation for nx^n-1?

roger
Jan 16, 2005 · Replies 29 · Jan 17, 2005

Replies: 29

High School How do I find v' for functions v=x+y using implicit differentiation?

daster
Jan 15, 2005 · Replies 6 · Jan 17, 2005

Replies: 6

Graduate Difficult question - convergence of a series

rachmaninoff
Jan 15, 2005 · Replies 3 · Jan 15, 2005

Replies: 3

Undergrad How Do You Integrate 1/(x(ln x)^2) with Respect to x?

sid_galt
Jan 8, 2005 · Replies 2 · Jan 15, 2005

Replies: 2

Graduate Prove Mean Value Theorem: Min/Max on Bounded, Closed Set

eddo
Jan 13, 2005 · Replies 6 · Jan 14, 2005

Replies: 6

Undergrad Solving f'(x) = 0 at x=1 with a+b=0

Nguyen Thanh Nam
Jan 14, 2005 · Replies 3 · Jan 14, 2005

Replies: 3

Graduate Convergence and Solution of Integral with Cosine Function

Machinus
Jan 13, 2005 · Replies 8 · Jan 14, 2005

Replies: 8

Undergrad How do I find the area under the curve using right end rectangles for f(x) = x?

QuantumTheory
Jan 14, 2005 · Replies 2 · Jan 14, 2005

Replies: 2

Undergrad Best Multivariable Calculus Textbooks: Pros, Cons, and Recommendations

Perion
Jan 13, 2005 · Replies 4 · Jan 14, 2005

Replies: 4

Undergrad Infimum & Supremum: Learn the Difference!

cmurphy
Jan 13, 2005 · Replies 4 · Jan 14, 2005

Replies: 4

Graduate Approximating the Cosine Integral?

Manchot
Jan 12, 2005 · Replies 7 · Jan 13, 2005

Replies: 7

Undergrad Prove (lim n -> infinity) (1 + 1/n)^n = e

kishtik
Jan 13, 2005 · Replies 5 · Jan 13, 2005

Replies: 5

Undergrad How to Create a Function with a Turning Point and a Point of Inflection?

salemchic05
Jan 6, 2005 · Replies 2 · Jan 13, 2005

Replies: 2

Undergrad Antiderivative calculator recommendations

Coldie
Jan 12, 2005 · Replies 4 · Jan 12, 2005

Replies: 4

Graduate Proving AX(BXC) = B(A(dot)C) - C(A(dot)B)

starbaj12
Jan 11, 2005 · Replies 6 · Jan 12, 2005

Replies: 6

High School Limit of 1/x as x Approaches 0: Infinity?

calvinnn
Jan 11, 2005 · Replies 3 · Jan 12, 2005

Replies: 3

Undergrad Related Rates Help: Solve Distance Change in 1 Sec

ashleyk
Jan 3, 2005 · Replies 3 · Jan 11, 2005

Replies: 3

Graduate What are the units of A and δ in Dirac's delta function?

Gonzolo
Jan 11, 2005 · Replies 3 · Jan 11, 2005

Replies: 3

High School Find the distance I traveled (c) by doing cos(a+b)?

Gamish
Jan 5, 2005 · Replies 20 · Jan 11, 2005

Replies: 20

Graduate Is exp(i.x) with x=-infinity equal to zero?

sam2
Jan 11, 2005 · Replies 5 · Jan 11, 2005

Replies: 5

Undergrad Finding Length of Line Traced by f(x)

Alkatran
Jan 11, 2005 · Replies 3 · Jan 11, 2005

Replies: 3

Graduate How do I solve this integration problem in quantum mechanics?

Hyperreality
Jan 11, 2005 · Replies 3 · Jan 11, 2005

Replies: 3

Graduate Which p values result in the convergence of the series x_{n}+px_{n-1}?

Final
Jan 8, 2005 · Replies 6 · Jan 10, 2005

Replies: 6

Undergrad Summing an Infinite Series: Can We Prove Divergence?

Fookie
Jan 10, 2005 · Replies 4 · Jan 10, 2005

Replies: 4

Undergrad Integrating Rational Functions: How to Solve Challenging Integrals?

bomba923
Jan 8, 2005 · Replies 10 · Jan 9, 2005

Replies: 10

Graduate Can the Residue Theorem be Extended to Higher Dimensions?

Janitor
Jan 9, 2005 · Replies 6 · Jan 9, 2005

Replies: 6

Graduate Brachistochrone Problem: The Cycloid Solution

bomba923
Jan 8, 2005 · Replies 4 · Jan 9, 2005

Replies: 4

High School Where can I find a helpful website for Calculus 2 topics?

omagdon7
Jan 6, 2005 · Replies 4 · Jan 8, 2005

Replies: 4

Undergrad Convolution with a gaussian G(t)

Gonzolo
Jan 6, 2005 · Replies 5 · Jan 8, 2005

Replies: 5

Graduate What is the Limit for Today's Test on Logarithms and Trigonometry?

twoflower
Jan 7, 2005 · Replies 3 · Jan 7, 2005

Replies: 3

Undergrad Understanding the Product Rule: Deriving and Proving Its Validity

Patrix0
Dec 17, 2004 · Replies 12 · Jan 6, 2005

Replies: 12

Undergrad Understanding Double Integration in Vector Analysis

Alan Tua
Jan 5, 2005 · Replies 4 · Jan 6, 2005

Replies: 4

Undergrad What is the Difference Between Rational and Irrational Numbers in Calculus?

omagdon7
Jan 5, 2005 · Replies 12 · Jan 6, 2005

Replies: 12

Undergrad Determining the existence of antiderivatives

Manchot
Dec 13, 2004 · Replies 19 · Jan 6, 2005

Replies: 19

Undergrad Need a Good Multivariable Calculus Site

BasketDaN
Nov 28, 2004 · Replies 14 · Jan 5, 2005

Replies: 14

Undergrad Is there a better way to find the roots of a quadratic equation?

trap
Jan 4, 2005 · Replies 8 · Jan 4, 2005

Replies: 8

High School Understanding the Difficulty of Calculus: Insights from a High School Senior

tongos
Jan 3, 2005 · Replies 4 · Jan 4, 2005

Replies: 4

Graduate Simple surface integration blues {again}

brendan_foo
Jan 3, 2005 · Replies 7 · Jan 4, 2005

Replies: 7

Undergrad Find Roots of -5x^4-7x^2+10x+4 Equation

salemchic05
Jan 1, 2005 · Replies 4 · Jan 3, 2005

Replies: 4

Undergrad Why the modulus signs when integrating f'(x)/f(x)?

Cheman
Jan 3, 2005 · Replies 2 · Jan 3, 2005

Replies: 2

What Is a Postsecondary Program?

calvinnn
Jan 1, 2005 · Replies 8 · Jan 3, 2005

Replies: 8

Graduate Surface Integrals Explained for Beginners

brendan_foo
Dec 30, 2004 · Replies 5 · Jan 1, 2005

Replies: 5

High School What does e represent in calculus and why is it used?

J7
Dec 16, 2004 · Replies 40 · Dec 30, 2004

2

Replies: 40

Graduate Find Limit: Evaluate \frac{n}{(n!)^{\frac1n}}

Ali 2
Dec 29, 2004 · Replies 3 · Dec 30, 2004

Replies: 3

Undergrad Calculus of Linear and Nonlinear Functions

Moe_the_Genius
Dec 27, 2004 · Replies 2 · Dec 27, 2004

Replies: 2

Undergrad Infinite and improper integral help.

misogynisticfeminist
Dec 24, 2004 · Replies 8 · Dec 27, 2004

Replies: 8

Undergrad What is an effective variable substitution for solving this integral?

brendan_foo
Dec 26, 2004 · Replies 11 · Dec 26, 2004

Replies: 11

Undergrad Can the sin(x) formula be applied in practical scenarios?

hedlund
Dec 26, 2004 · Replies 2 · Dec 26, 2004

Replies: 2

Graduate Fractional iterates of analytic functions

phoenixthoth
Dec 24, 2004 · Replies 7 · Dec 25, 2004

Replies: 7

Undergrad Why does the antiderivative give us the area?

bezgin
Dec 25, 2004 · Replies 3 · Dec 25, 2004

Replies: 3

Undergrad Final Formula: What is it and how can I find it for a given integral?

mathemagician
Dec 25, 2004 · Replies 4 · Dec 25, 2004

Replies: 4

Undergrad Why Can't I Solve This Multivariable Calculus Integral?

brendan_foo
Dec 23, 2004 · Replies 18 · Dec 24, 2004

Replies: 18

High School How Do I Find Asymptotes and Construct Polynomials with Given Zeros?

HawKMX2004
Dec 17, 2004 · Replies 2 · Dec 24, 2004

Replies: 2

Undergrad Different between integrals and Einstein summation?

ktpr2
Dec 20, 2004 · Replies 8 · Dec 23, 2004

Replies: 8

Undergrad Having trouble with limits and continuity? Let's clear things up!

daster
Dec 22, 2004 · Replies 17 · Dec 23, 2004

Replies: 17

Graduate Understanding the Limit of $\left(1-\frac{a}{n}\right)^{n}$ for Real $a$

quasar987
Dec 22, 2004 · Replies 5 · Dec 23, 2004

Replies: 5

High School Shortest distance between two points. Line?

Suicidal
Dec 16, 2004 · Replies 2 · Dec 22, 2004

Replies: 2

High School How is Sigma Used in Mathematics?

DB
Dec 22, 2004 · Replies 4 · Dec 22, 2004

Replies: 4

Graduate Unravelling the Mystery of logn Identities

quasar987
Dec 22, 2004 · Replies 3 · Dec 22, 2004

Replies: 3

Undergrad Cylinder vs Rectangular Prism: Which is More Economical for Juice Packaging?

englishbum
Dec 14, 2004 · Replies 2 · Dec 21, 2004

Replies: 2

Undergrad Elementary function for n > 0 is n=1

hedlund
Dec 20, 2004 · Replies 3 · Dec 21, 2004

Replies: 3

Undergrad 0/0 as the result of taking a limit

quasar987
Dec 17, 2004 · Replies 15 · Dec 20, 2004

Replies: 15

Undergrad Volume of Isosceles Right Triangles with Base of x^2+y^2=9

Physicsisfun2005
Dec 12, 2004 · Replies 2 · Dec 19, 2004

Replies: 2

Undergrad Integrate sin(x^(1/2)): Monday's Final Help Needed

bjon-07
Dec 18, 2004 · Replies 5 · Dec 18, 2004

Replies: 5

Undergrad Why Can't the Gradient Vector Be Undefined at a Minimum?

quasar987
Dec 18, 2004 · Replies 5 · Dec 18, 2004

Replies: 5

Undergrad Polar-parametric transformation

Moore1879
Dec 17, 2004 · Replies 7 · Dec 18, 2004

Replies: 7

Undergrad Optimizing Metal Cost for Cylindrical Can Construction

courtrigrad
Dec 17, 2004 · Replies 2 · Dec 17, 2004

Replies: 2

Graduate Solving Definite Integral with Floor Function: Help Needed

maverick280857
Dec 10, 2004 · Replies 2 · Dec 17, 2004

Replies: 2

Undergrad Why is it difficult to solve the initial value problem using integrals?

QuantumTheory
Dec 15, 2004 · Replies 9 · Dec 16, 2004

Replies: 9

Undergrad Calculating Mass of Cloud with Density D(ro)

T@P
Dec 16, 2004 · Replies 5 · Dec 16, 2004

Replies: 5

Graduate Proof of Convergence of Sequences a_n and b_n

Nobody1111
Dec 9, 2004 · Replies 2 · Dec 16, 2004

Replies: 2

Graduate Tannery's Theorem: Definition & Use

Ed Quanta
Dec 15, 2004 · Replies 2 · Dec 15, 2004

Replies: 2

Undergrad Applied Maxima and Minima Problems

courtrigrad
Dec 15, 2004 · Replies 4 · Dec 15, 2004

Replies: 4

High School How Do I Calculate the Area Covered by 4 Radio Transmitters in a 10 km Square?

swither
Dec 15, 2004 · Replies 2 · Dec 15, 2004

Replies: 2

Undergrad Multivariable Functions & their Integrals

iSamer
Dec 14, 2004 · Replies 3 · Dec 15, 2004

Replies: 3

Undergrad Quick help with average value function problem please

c19dale
Dec 15, 2004 · Replies 10 · Dec 15, 2004

Replies: 10

Undergrad Power Series - Can someone me understand them?

NINHARDCOREFAN
Dec 14, 2004 · Replies 7 · Dec 15, 2004

Replies: 7

Undergrad Is the Limit of x^(1/(1-x)) as x Approaches 1 Equal to 0 or 1?

SomeRandomGuy
Dec 13, 2004 · Replies 10 · Dec 14, 2004

Replies: 10

Undergrad Formula for sqrt of i in limit summations?

ucdawg12
Dec 14, 2004 · Replies 2 · Dec 14, 2004

Replies: 2

Undergrad What is the Chain Rule and How Does it Apply to Tangent Functions?

Roxy
Dec 13, 2004 · Replies 2 · Dec 14, 2004

Replies: 2

Undergrad Can Differentiation from First Principles Be Applied to Trigonometric Functions?

Pseudo Statistic
Dec 14, 2004 · Replies 6 · Dec 14, 2004

Replies: 6

Undergrad I think I have it, please check

ashleyk
Dec 14, 2004 · Replies 2 · Dec 14, 2004

Replies: 2

Undergrad Which Vertex Angle Maximizes the Area of an Isosceles Triangle?

calvinnn
Dec 14, 2004 · Replies 3 · Dec 14, 2004

Replies: 3

Undergrad Finding Horizontal Asymptote for f(x)=(2x-5)/(x^2-4): Calculus Help

ashleyk
Dec 13, 2004 · Replies 4 · Dec 14, 2004

Replies: 4

Graduate Approximating definite integrals using series.

Wee Sleeket
Dec 6, 2004 · Replies 2 · Dec 13, 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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