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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 Deriving Inverse Hyperbolic Functions

MattL
May 17, 2005 · Replies 4 · May 17, 2005

Replies: 4

Undergrad Epsilon & Delta: Practical Applications?

heman
May 16, 2005 · Replies 8 · May 17, 2005

Replies: 8

Graduate Analysis / compactness proof check

eckiller
May 16, 2005 · Replies 6 · May 17, 2005

Replies: 6

Undergrad Proofs of Mathematical Induction: Examples + Steps

evaboo
May 16, 2005 · Replies 4 · May 16, 2005

Replies: 4

Graduate What are the Conditions for a Set of Functions to be Functionally Independent?

kleinwolf
May 16, 2005 · Replies 3 · May 16, 2005

Replies: 3

Undergrad Solve the Integral: \int \sin(2x).\sin(x)dx | Expert Help Available

tiagobt
May 16, 2005 · Replies 5 · May 16, 2005

Replies: 5

High School Understanding Velocity and Force: The Relationship to Origin and Material Stress

m0286
May 11, 2005 · Replies 3 · May 16, 2005

Replies: 3

Graduate When can the limit be brought inside the integral?

Hoplite
May 13, 2005 · Replies 11 · May 15, 2005

Replies: 11

Graduate How Do You Integrate to Find the Hypervolume of a Hypersphere?

Aki
May 15, 2005 · Replies 6 · May 15, 2005

Replies: 6

Undergrad What are some good non-textbook books for preparing for Calculus II-III?

kingnasty
May 14, 2005 · Replies 3 · May 15, 2005

Replies: 3

Undergrad Do we treat x and y as independent when differentiating f with respect to y?

adamg
May 14, 2005 · Replies 14 · May 15, 2005

Replies: 14

High School Calculating Natural Number e: History & Methods

Menthol
May 14, 2005 · Replies 10 · May 15, 2005

Replies: 10

Undergrad Partial Derivatives Instead of Implicit

Jameson
May 13, 2005 · Replies 16 · May 14, 2005

Replies: 16

High School Is the Gradient the Same as the Slope in Linear Functions?

SleSSi
May 14, 2005 · Replies 5 · May 14, 2005

Replies: 5

Undergrad Understanding Divergence: Can You Find the Divergence of a Scalar Function?

AXIS
May 13, 2005 · Replies 2 · May 14, 2005

Replies: 2

Undergrad If f(c) = infinity and c is in [a,b]

rsnd
May 8, 2005 · Replies 6 · May 13, 2005

Replies: 6

Undergrad Will the Inverted Cone Water Tank Overflow?

amcavoy
May 6, 2005 · Replies 2 · May 13, 2005

Replies: 2

Graduate Euler's relations & 'Epicycloids'

saviourmachine
May 10, 2005 · Replies 3 · May 13, 2005

Replies: 3

Graduate Proof of Convergence/Divergence Unaffected by Series Starting Point

adamg
May 12, 2005 · Replies 4 · May 13, 2005

Replies: 4

Undergrad Evaluating Logs & Derivatives: More Questions Answered Here

m0286
May 12, 2005 · Replies 3 · May 12, 2005

Replies: 3

Undergrad How is this Differentiation Trick Manipulated in Calculus?

Baggio
May 12, 2005 · Replies 3 · May 12, 2005

Replies: 3

Undergrad Prepare for Calc 2 Final with Practice Exam - Study Guide and Tips Included

belleamie
May 12, 2005 · Replies 2 · May 12, 2005

Replies: 2

High School How Do You Differentiate sin, cos, and tan Functions?

EIRE2003
May 11, 2005 · Replies 3 · May 12, 2005

Replies: 3

Undergrad Please help A question about partial differentiation

tony_engin
May 12, 2005 · Replies 4 · May 12, 2005

Replies: 4

Undergrad How to show lim sin(1/x) DNE as x->0

eckiller
May 5, 2005 · Replies 2 · May 12, 2005

Replies: 2

Undergrad What is the Integral of dx/ (1+cos ^2(x)) Using Different Approaches?

belleamie
May 12, 2005 · Replies 2 · May 12, 2005

Replies: 2

Undergrad Help Deriving and Solving a Function

PhysicsinCalifornia
May 11, 2005 · Replies 7 · May 12, 2005

Replies: 7

Undergrad Is x = -i a Solution for This Complex Equation?

Yura
May 12, 2005 · Replies 3 · May 12, 2005

Replies: 3

High School How Do You Solve 10log1019 in Logarithms?

m0286
May 11, 2005 · Replies 4 · May 12, 2005

Replies: 4

Undergrad Taylor series expansion question

meteorologist1
May 4, 2005 · Replies 2 · May 11, 2005

Replies: 2

Graduate What is the Normal Vector to the Surface S at the Points of Intersection?

physicsss
May 11, 2005 · Replies 3 · May 11, 2005

Replies: 3

Undergrad NEED HELP with double derivative(long)

PhysicsinCalifornia
May 11, 2005 · Replies 11 · May 11, 2005

Replies: 11

High School What power do you raise 3 to to get 9

m0286
May 11, 2005 · Replies 8 · May 11, 2005

Replies: 8

Graduate What is the remainder when x^X^x^x... is divided by x-700^(1/700)?

mathelord
May 10, 2005 · Replies 2 · May 11, 2005

Replies: 2

Undergrad What is the Importance of u-Substitution in Solving Integrals?

Hurkyl
May 9, 2005 · Replies 9 · May 11, 2005

Replies: 9

Graduate Solving Gamma Function Integral: e^(4u)*e^(-e^u)du

splitendz
May 10, 2005 · Replies 7 · May 11, 2005

Replies: 7

Undergrad Is Intuition Enough to Determine Asymptotes in Calculus?

monet A
May 10, 2005 · Replies 2 · May 10, 2005

Replies: 2

Graduate The completeness of Hilbert Space

Ed Quanta
May 10, 2005 · Replies 7 · May 10, 2005

Replies: 7

Undergrad Testing convergence of a series

MaximumTaco
May 8, 2005 · Replies 13 · May 10, 2005

Replies: 13

Undergrad Finding Tangent Slope to Parabola Using Theorem 2 | Limit Help

Orion1
May 10, 2005 · Replies 4 · May 10, 2005

Replies: 4

Graduate Deriving the diagonal with limens

bedaone
May 8, 2005 · Replies 5 · May 10, 2005

Replies: 5

Undergrad How Do I Find the Derivative of a Complex Function in Calculus?

m0286
May 9, 2005 · Replies 5 · May 10, 2005

Replies: 5

Undergrad Supplement to spivak's calc on manifolds

trancefishy
May 9, 2005 · Replies 4 · May 10, 2005

Replies: 4

Graduate Elements of multiple riemann integration

Castilla
May 7, 2005 · Replies 6 · May 10, 2005

Replies: 6

Undergrad How can I find the antiderivative of dx/dv^2 in my physics book?

kape
May 9, 2005 · Replies 8 · May 10, 2005

Replies: 8

Graduate Can You Differentiate x^x^x^x^x^x...?

abia ubong
May 6, 2005 · Replies 11 · May 10, 2005

Replies: 11

Undergrad What is the optimal position for a rugby kicker to convert a try?

Karate Chop
May 10, 2005 · Replies 1 · May 10, 2005

Replies: 1

Graduate Local Maximum of a Differentiable Function Using the Mean Value Theorem

Benny
May 4, 2005 · Replies 6 · May 10, 2005

Replies: 6

Graduate How can i differentiate this ?

abia ubong
May 4, 2005 · Replies 4 · May 9, 2005

Replies: 4

Undergrad How can calculus help maximize profit for Goodfood catering company?

m0286
May 9, 2005 · Replies 3 · May 9, 2005

Replies: 3

Undergrad Why Do the Steps to Maximize and Minimize a Quantity Align?

m0286
May 9, 2005 · Replies 2 · May 9, 2005

Replies: 2

Graduate Equivilant norms of a Vector Space

snoble
May 1, 2005 · Replies 2 · May 9, 2005

Replies: 2

Undergrad Using Taylor's Theorem to approximate

Shameel
May 9, 2005 · Replies 4 · May 9, 2005

Replies: 4

Graduate Solving Integral Problems: Limits and Double Integrals

mansi
May 6, 2005 · Replies 23 · May 9, 2005

Replies: 23

Undergrad Max/Min problem I'm fundamentally flawed in my understanding I think

monet A
May 8, 2005 · Replies 4 · May 8, 2005

Replies: 4

High School Preform the operations and simplifying

powp
May 8, 2005 · Replies 3 · May 8, 2005

Replies: 3

High School Calculus DVD's would you recommend these?

r3dxP
May 1, 2005 · Replies 2 · May 8, 2005

Replies: 2

Undergrad Determine the combined force magnitude

sdjackson79
May 8, 2005 · Replies 6 · May 8, 2005

Replies: 6

Graduate Prove that the sequence converges and find its limit

mansi
May 6, 2005 · Replies 8 · May 7, 2005

Replies: 8

Graduate How Do You Find a Matrix A Such That Y(t) Spirals Toward a Plane?

djinteractive
Apr 29, 2005 · Replies 2 · May 7, 2005

Replies: 2

Undergrad Solving Integral: $\int_{1}^{9} \frac{3x-2}{\sqrt{x}}dx = 44$

mothership
May 7, 2005 · Replies 2 · May 7, 2005

Replies: 2

Undergrad Natural Growth and Logistic Models

Beez
May 4, 2005 · Replies 6 · May 6, 2005

Replies: 6

Graduate Derivative of a symetrical function

quasar987
May 5, 2005 · Replies 7 · May 6, 2005

Replies: 7

Undergrad How to solve an Improper Integral of Type 2?

cmab
May 5, 2005 · Replies 5 · May 6, 2005

Replies: 5

Graduate Possible Value of n When 2005th Digit of n is 0

vagabond
Apr 27, 2005 · Replies 7 · May 6, 2005

Replies: 7

Undergrad Understanding Breaking Down h'(x) and |x|+|x+1|

semidevil
May 5, 2005 · Replies 6 · May 6, 2005

Replies: 6

Undergrad Can the Volume of a Sphere be Calculated by Integrating the Area of Circles?

Anzas
May 3, 2005 · Replies 15 · May 5, 2005

Replies: 15

High School Radians vs Degrees: Why Calculus Uses Radians

chandran
Apr 28, 2005 · Replies 2 · May 5, 2005

Replies: 2

Graduate Understanding Vector Directional Derivatives

Dinosaur
May 4, 2005 · Replies 5 · May 5, 2005

Replies: 5

Undergrad Solving 2 Tricky Math Problems: Bounded Area & Convergence of Sequence

yeuVi
May 4, 2005 · Replies 12 · May 5, 2005

Replies: 12

Undergrad What is the interval of convergence for this power series?

oldunion
May 4, 2005 · Replies 3 · May 4, 2005

Replies: 3

Undergrad Sphere Boundaries: Does a Sphere Have Any?

physicsss
May 3, 2005 · Replies 3 · May 4, 2005

Replies: 3

Graduate How can I solve this tricky exponent integral problem using proper methods?

vabamyyr
May 2, 2005 · Replies 4 · May 4, 2005

Replies: 4

Graduate Calculating Supremum of sin n for Positive Integers

vagabond
Apr 27, 2005 · Replies 2 · May 3, 2005

Replies: 2

Undergrad How to Integrate (x) sq. root of ((x^2) - 1)?

Prototype
May 2, 2005 · Replies 8 · May 3, 2005

Replies: 8

Graduate Where Can I Find Resources to Study Peano Curves?

Ed Quanta
Apr 26, 2005 · Replies 2 · May 3, 2005

Replies: 2

Undergrad Derivative of Integral of Continuous Function f(x)

kidia
May 2, 2005 · Replies 2 · May 2, 2005

Replies: 2

Graduate How to Prove the Nested Interval Theorem for R^n?

eckiller
May 2, 2005 · Replies 2 · May 2, 2005

Replies: 2

Undergrad Primitive of Arctan x: Ideas & Solutions

kidia
May 2, 2005 · Replies 2 · May 2, 2005

Replies: 2

Undergrad How Do You Solve the Integral of e^(2x)sin[3x] Using Integration by Parts?

kennis2
Apr 20, 2005 · Replies 16 · May 2, 2005

Replies: 16

Undergrad What is the intuitive meaning of the Mean Value Theorem?

semidevil
May 1, 2005 · Replies 4 · May 2, 2005

Replies: 4

Undergrad Find Limit of x Approaching 4 - Problem Solved

Strelka
May 1, 2005 · Replies 8 · May 2, 2005

Replies: 8

Graduate Gradient vector over an area of a surface

trancefishy
May 1, 2005 · Replies 3 · May 2, 2005

Replies: 3

Undergrad Simplify Limit Problem for Function f = 1/(sqrt(1+x^2)) | K. Civilian

rsnd
May 2, 2005 · Replies 5 · May 2, 2005

Replies: 5

Undergrad How Do You Integrate x/(sqrt[1+x^2])?

Brewer
May 2, 2005 · Replies 4 · May 2, 2005

Replies: 4

Graduate Double Integral of e^(x^2) Using Green's Theorem

mansi
Apr 30, 2005 · Replies 4 · May 1, 2005

Replies: 4

Undergrad How Do You Convert These Polar Equations to Rectangular Form?

Dooh
May 1, 2005 · Replies 5 · May 1, 2005

Replies: 5

Graduate Proving the Limit of a Parabola Delta Function

saltydog
Apr 27, 2005 · Replies 30 · May 1, 2005

2

Replies: 30

Undergrad Riemann sum / difference quotient

noslen
May 1, 2005 · Replies 4 · May 1, 2005

Replies: 4

Graduate Solving Difficult Derivatives: Need Help!

smellymoron
May 1, 2005 · Replies 11 · May 1, 2005

Replies: 11

Graduate Calculating Work Along a Helix Using Line Integrals

PhysicsMajor
Apr 29, 2005 · Replies 9 · Apr 30, 2005

Replies: 9

Undergrad Range of Validity for Maclaurin Expansion of ln(1-x)

josephcollins
Apr 23, 2005 · Replies 2 · Apr 30, 2005

Replies: 2

Undergrad Understanding Lagrange Error Analysis

jordanl122
Apr 28, 2005 · Replies 3 · Apr 30, 2005

Replies: 3

Undergrad Use identities to Prove linearly idenpendent

madking153
Apr 28, 2005 · Replies 3 · Apr 30, 2005

Replies: 3

Graduate Calculating Flux Integral for Vector Field F and Normal Vector n | Help Needed

ArnfinnS
Apr 29, 2005 · Replies 2 · Apr 30, 2005

Replies: 2

Undergrad Integrating the Exponential Function: Techniques and Resources

metrictensor
Apr 29, 2005 · Replies 7 · Apr 30, 2005

Replies: 7

Graduate Last line integral problem (hopefully)

PhysicsMajor
Apr 30, 2005 · Replies 5 · Apr 30, 2005

Replies: 5

Undergrad Use the cylindrical coordinates to find the volume

hbomb
Apr 29, 2005 · Replies 6 · Apr 30, 2005

Replies: 6

Undergrad Max Area of Rectangle on f(x)=-2/3x+4

amcavoy
Apr 26, 2005 · Replies 8 · Apr 30, 2005

Replies: 8

Undergrad Line Integrals: Compute 4xz + 2y dx

PhysicsMajor
Apr 29, 2005 · Replies 4 · Apr 29, 2005

Replies: 4

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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