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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

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Undergrad Integrals on exam I couldn't answer

noboost4you
Dec 1, 2003 · Replies 3 · Dec 1, 2003

Replies: 3

Undergrad Why Study Differentials?

ShawnD
Nov 29, 2003 · Replies 4 · Nov 29, 2003

Replies: 4

Graduate A diff Eq on strings, check out the math.

Mike2
Nov 12, 2003 · Replies 48 · Nov 29, 2003

2

Replies: 48

Undergrad What Are the Applications of Double Integrals in Multivariable Calculus?

PrudensOptimus
Nov 28, 2003 · Replies 2 · Nov 29, 2003

Replies: 2

Undergrad Find the smallest value of this function.

PrudensOptimus
Nov 21, 2003 · Replies 5 · Nov 28, 2003

Replies: 5

Graduate What are the Napier-Stokes Equations and how are they related to heart pulse?

PrudensOptimus
Nov 28, 2003 · Replies 2 · Nov 28, 2003

Replies: 2

Undergrad When does V'(x) = 0 lead to non-real solutions for V(x) = x(10-2x)(16-2x)?

PrudensOptimus
Nov 20, 2003 · Replies 2 · Nov 27, 2003

Replies: 2

Undergrad Solve Physics Problems: Moon, Sun, Springs & Conical Mound

gigi9
Nov 27, 2003 · Replies 3 · Nov 27, 2003

Replies: 3

Undergrad Volume of region bounded by cone and parabloid

adi_butler
Nov 26, 2003 · Replies 5 · Nov 27, 2003

Replies: 5

Graduate Max Vol Q: Find the Volume of Rectangular Box Inscribed in Ellipsoid

pezzang
Nov 19, 2003 · Replies 2 · Nov 26, 2003

Replies: 2

Undergrad How Does Calculus Help Solve Motion Problems in Physics?

gigi9
Nov 18, 2003 · Replies 2 · Nov 25, 2003

Replies: 2

Undergrad Prove the quotient theorem using the limit definition?

franz32
Nov 24, 2003 · Replies 2 · Nov 25, 2003

Replies: 2

Undergrad How do I solve \int^a_b x\sin{x}\sin{2x} dx using integration by parts?

PrudensOptimus
Nov 22, 2003 · Replies 3 · Nov 23, 2003

Replies: 3

Undergrad Work and energy (Using calculus to solve)

gigi9
Nov 19, 2003 · Replies 4 · Nov 20, 2003

Replies: 4

Graduate Technical Name Of Equatorially Concentric Rings?

KMGC
Nov 10, 2003 · Replies 5 · Nov 19, 2003

Replies: 5

Undergrad Finding the Equation of a Tangent Line at a Given Point

noboost4you
Nov 18, 2003 · Replies 4 · Nov 19, 2003

Replies: 4

Undergrad Finding the Tangent Line to a Level Curve at a Given Point: How Do I Do It?

pezzang
Nov 18, 2003 · Replies 3 · Nov 19, 2003

Replies: 3

Undergrad Derivatives of natural logs and exponents

noboost4you
Nov 18, 2003 · Replies 7 · Nov 19, 2003

Replies: 7

Undergrad What Is the Integral of e^-(constant)x^2?

Kristen
Nov 16, 2003 · Replies 1 · Nov 17, 2003

Replies: 1

Undergrad Finding ∫ cscx dx: Tips and Tricks

PrudensOptimus
Nov 12, 2003 · Replies 13 · Nov 16, 2003

Replies: 13

High School Why is the second derivative expressed differently in Lebnit's notation?

Juxt
Nov 15, 2003 · Replies 5 · Nov 15, 2003

Replies: 5

Undergrad Solving Partial Fractions: Finding Unknown Coefficients

PrudensOptimus
Nov 15, 2003 · Replies 5 · Nov 15, 2003

Replies: 5

Graduate What is the solution to the integral of xSin(x)Sin(2x) dx?

PrudensOptimus
Nov 7, 2003 · Replies 2 · Nov 14, 2003

Replies: 2

Undergrad Single variable calculus question. (first post)

physicsstudent04
Nov 12, 2003 · Replies 4 · Nov 14, 2003

Replies: 4

Undergrad Point of inflection - always halfway between 2 critical points?

brum
Nov 6, 2003 · Replies 2 · Nov 13, 2003

Replies: 2

Graduate Partial Derivative of f(x,y) = ∫xy cos(t2) dt?

gnome
Nov 7, 2003 · Replies 10 · Nov 12, 2003

Replies: 10

Undergrad Optimization Using Differentiation

izmeh
Nov 11, 2003 · Replies 2 · Nov 12, 2003

Replies: 2

Undergrad Is My Solution for 4sinx - 3cosx Correct?

Caldus
Nov 9, 2003 · Replies 3 · Nov 11, 2003

Replies: 3

Undergrad How to Calculate Radioactive Decay with Half-Life Formula

YTech9
Nov 9, 2003 · Replies 9 · Nov 10, 2003

Replies: 9

Undergrad What is the rope's parametric equation?

david90
Nov 8, 2003 · Replies 5 · Nov 10, 2003

Replies: 5

Undergrad Which Points on the Graph Match These Calculus Conditions?

Blade
Nov 2, 2003 · Replies 2 · Nov 10, 2003

Replies: 2

Undergrad How Do You Find the Normal to the Parametric Equation r(t) = <acos t, bsin t>?

david90
Nov 9, 2003 · Replies 2 · Nov 10, 2003

Replies: 2

Undergrad How do I solve a Lagrange Multiplier problem with a given constraint?

Arden1528
Nov 9, 2003 · Replies 5 · Nov 9, 2003

Replies: 5

Undergrad Trig Substitution: Learn How to Integrate Easily

gigi9
Nov 8, 2003 · Replies 3 · Nov 9, 2003

Replies: 3

Undergrad How to determine whether two complex trig equation is identical.

PrudensOptimus
Nov 8, 2003 · Replies 4 · Nov 9, 2003

Replies: 4

Graduate What is the Proof that 2 Equals 1 Using Infinite Series?

gnome
Nov 4, 2003 · Replies 32 · Nov 8, 2003

2

Replies: 32

Undergrad Solving cos^3 x dx: A Quick and Easy Method

PrudensOptimus
Nov 4, 2003 · Replies 9 · Nov 7, 2003

Replies: 9

Graduate Reimann sums, okay. How about a Reimann product ?

pellman
Nov 6, 2003 · Replies 1 · Nov 7, 2003

Replies: 1

Graduate Why is the polylogarithm equation for n=1 a logarithm?

MathematicalPhysicist
Nov 6, 2003 · Replies 2 · Nov 7, 2003

Replies: 2

Undergrad Using differentials to approx error

rdn98
Nov 3, 2003 · Replies 2 · Nov 5, 2003

Replies: 2

Graduate Learn About Nonstandard Analysis - Resources & Books

Hurkyl
Oct 30, 2003 · Replies 9 · Nov 4, 2003

Replies: 9

Undergrad What's Wrong with This Proof That 2 = 1?

ShawnD
Nov 3, 2003 · Replies 3 · Nov 4, 2003

Replies: 3

Undergrad Calculating the Gradient of f at (4,5)

Juntao
Nov 3, 2003 · Replies 4 · Nov 4, 2003

Replies: 4

Undergrad What is the derivative of a complex function?

PrudensOptimus
Oct 27, 2003 · Replies 2 · Nov 3, 2003

Replies: 2

Undergrad Find the derivative of the function

bjon-07
Nov 1, 2003 · Replies 3 · Nov 3, 2003

Replies: 3

Undergrad How Accurate Is My Calculus Homework Solution?

VikingStorm
Nov 2, 2003 · Replies 4 · Nov 3, 2003

Replies: 4

Undergrad Hrmm derivative problems (concept?)

VikingStorm
Oct 30, 2003 · Replies 2 · Nov 2, 2003

Replies: 2

Undergrad How Are the Roots of t^2-t-2 Related to the Solutions of y''-y'-2y=0?

gigi9
Oct 26, 2003 · Replies 2 · Nov 2, 2003

Replies: 2

Undergrad Rate of increase of population of a country

gigi9
Oct 26, 2003 · Replies 2 · Nov 2, 2003

Replies: 2

Undergrad Find the initial velocity of the second ball

gigi9
Oct 30, 2003 · Replies 2 · Nov 2, 2003

Replies: 2

High School What's the derivative of {sqrt (2x)} ?

urbantrained
Oct 30, 2003 · Replies 5 · Oct 31, 2003

Replies: 5

High School Understanding the Notation of the Parts Formula

PrudensOptimus
Oct 30, 2003 · Replies 2 · Oct 31, 2003

Replies: 2

Undergrad What is the area, in sq. feet, of the debris?

alyhandra3
Oct 30, 2003 · Replies 2 · Oct 31, 2003

Replies: 2

Undergrad How do I find directional derivatives using partial derivatives?

Arden1528
Oct 30, 2003 · Replies 4 · Oct 30, 2003

Replies: 4

High School Learning Partial Integration: Step-by-Step Guide

TheDestroyer
Oct 27, 2003 · Replies 6 · Oct 29, 2003

Replies: 6

Undergrad How does Taylor series help expand the function 1/sqrt(1-x^2)?

robgb
Oct 28, 2003 · Replies 7 · Oct 29, 2003

Replies: 7

Graduate In math, what is sometimes meant by Analysis

marcus
Oct 12, 2003 · Replies 5 · Oct 28, 2003

Replies: 5

Undergrad Find the length of the specified arc of the given curve

gigi9
Oct 20, 2003 · Replies 2 · Oct 28, 2003

Replies: 2

High School What are the Values of X and Y in the Equation X^2 - Y^2 = X - Y?

khalid_kacst
Oct 12, 2003 · Replies 7 · Oct 27, 2003

Replies: 7

Undergrad Parametrics and vector valued functions

StephenPrivitera
Oct 17, 2003 · Replies 2 · Oct 25, 2003

Replies: 2

Undergrad How do I handle square roots in partial derivatives?

Arden1528
Oct 23, 2003 · Replies 4 · Oct 24, 2003

Replies: 4

Undergrad Limits splitting the fraction into two

StephenPrivitera
Oct 23, 2003 · Replies 4 · Oct 24, 2003

Replies: 4

Undergrad Solving the Integral of sqrt(4x-1) | Math Help

PrudensOptimus
Oct 14, 2003 · Replies 9 · Oct 22, 2003

Replies: 9

Undergrad Calc Help: Find Volume of Quadrant & Semicircle

gigi9
Oct 21, 2003 · Replies 4 · Oct 22, 2003

Replies: 4

Graduate What is the solution to limx-->0 (1/tan x)2 - 1/x2?

Zargawee
Oct 13, 2003 · Replies 9 · Oct 21, 2003

Replies: 9

Undergrad How can I use integration by parts to find the integral of a product?

PrudensOptimus
Oct 19, 2003 · Replies 7 · Oct 21, 2003

Replies: 7

Graduate Calculus Help: Find Volumes & Solve Problems

gigi9
Oct 17, 2003 · Replies 2 · Oct 20, 2003

Replies: 2

Undergrad Simple differentiation question

renedox
Oct 19, 2003 · Replies 3 · Oct 20, 2003

Replies: 3

Graduate Proof of Differentiability at a Point Implies Limit Exists

StephenPrivitera
Oct 12, 2003 · Replies 3 · Oct 19, 2003

Replies: 3

Undergrad Integral of sin3x from -a to a: Is My Answer Right?

PrudensOptimus
Oct 11, 2003 · Replies 2 · Oct 18, 2003

Replies: 2

Undergrad How to Express Triangle Area in Integrals and Find Equal Sections?

PrudensOptimus
Oct 14, 2003 · Replies 16 · Oct 17, 2003

Replies: 16

Graduate What is the New Notation for Triple Integrals and its Potential Applications?

ATCG
Oct 13, 2003 · Replies 5 · Oct 15, 2003

Replies: 5

Undergrad Understanding dy/dx in Calculus

david90
Oct 14, 2003 · Replies 2 · Oct 15, 2003

Replies: 2

Undergrad How Do You Find Tangent and Normal Lines to a Parabola?

bard
Oct 12, 2003 · Replies 3 · Oct 13, 2003

Replies: 3

Undergrad Find the gradient of f(x,y). f(x,y)=(x^2)e^-2y

ffrpg
Oct 12, 2003 · Replies 3 · Oct 12, 2003

Replies: 3

Undergrad Calculus Problem: Find Integral of 1/(1-x)^2 dx

gigi9
Oct 12, 2003 · Replies 3 · Oct 12, 2003

Replies: 3

Undergrad Use the known area of a circle to find the value of the integral

gigi9
Oct 9, 2003 · Replies 7 · Oct 12, 2003

Replies: 7

Undergrad What Did I Do Wrong? Analyzing y = x tan x

PrudensOptimus
Oct 9, 2003 · Replies 3 · Oct 10, 2003

Replies: 3

Undergrad Definite Integrals - Solve Problems & Learn Answers

KLscilevothma
Oct 4, 2003 · Replies 8 · Oct 10, 2003

Replies: 8

Undergrad Calc Problem: Find Angle of Intersection Between r1(t) & r2(t) at Origin

Juntao
Oct 9, 2003 · Replies 4 · Oct 10, 2003

Replies: 4

Undergrad Is the second equation a sphere?

gnome
Oct 10, 2003 · Replies 3 · Oct 10, 2003

Replies: 3

Undergrad What Is the Correct Limit Calculation for limx->3 (x^2f(x) - 18) / (x-3)?

Zargawee
Oct 7, 2003 · Replies 5 · Oct 10, 2003

Replies: 5

Undergrad Is the Integral of dx/(1-x^2) Equal to x/(1-x)?

gigi9
Oct 9, 2003 · Replies 3 · Oct 9, 2003

Replies: 3

Graduate Proof using epsilons and deltas.

gigi9
Oct 6, 2003 · Replies 5 · Oct 9, 2003

Replies: 5

Graduate What is the Differential of a Vector?

Kalimaa23
Oct 5, 2003 · Replies 2 · Oct 8, 2003

Replies: 2

Undergrad Proving the Divergence of A+B Series

mrnoll
Oct 5, 2003 · Replies 5 · Oct 8, 2003

Replies: 5

Undergrad Calculus problems, where to begin?

Jeebus
Oct 7, 2003 · Replies 2 · Oct 8, 2003

Replies: 2

Undergrad What differentiates Advanced Calculus from Real Analysis?

quantumdude
Sep 28, 2003 · Replies 7 · Oct 7, 2003

Replies: 7

Undergrad Why Are Definite Integrals Related to Antiderivatives?

ATCG
Sep 24, 2003 · Replies 5 · Oct 6, 2003

Replies: 5

Graduate Can the Maclaurin Series for Sin(x) be Integrated?

hawaiidude
Oct 5, 2003 · Replies 5 · Oct 6, 2003

Replies: 5

Graduate A right circular cone is inscribed in a hemisphere.

pringless
Oct 2, 2003 · Replies 2 · Oct 6, 2003

Replies: 2

High School When do most people do calculus?

hawaiidude
Oct 5, 2003 · Replies 2 · Oct 5, 2003

Replies: 2

Undergrad Help with simple dot product proof

Juntao
Oct 3, 2003 · Replies 6 · Oct 5, 2003

Replies: 6

High School How to Input Cubic Roots on a TI-83 Calculator?

mehrunissa
Sep 24, 2003 · Replies 2 · Sep 24, 2003

Replies: 2

Undergrad What is the area of a triangle formed by vectors?

Dx
Sep 21, 2003 · Replies 2 · Sep 22, 2003

Replies: 2

High School Understanding Vectors: Magnitude and Angle Calculation

Dx
Sep 19, 2003 · Replies 6 · Sep 21, 2003

Replies: 6

Undergrad What is the relationship between Dot and cross product vector?

Dx
Sep 21, 2003 · Replies 5 · Sep 21, 2003

Replies: 5

Undergrad How can I calculate the derivative of a fraction with different denominators?

Learning
Sep 13, 2003 · Replies 7 · Sep 16, 2003

Replies: 7

Undergrad Calc Class: Derivatives & Surface Area of Circles

Gale
Sep 12, 2003 · Replies 16 · Sep 16, 2003

Replies: 16

High School Unsuccessful Attempts at Solving Limit Questions

anil
Sep 15, 2003 · Replies 2 · Sep 15, 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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