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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.

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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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Graduate Why Do We Use Vector-Valued Functions in Multi-Dimensional Spaces?

Muhammad Ali
Nov 16, 2006 · Replies 2 · Nov 17, 2006

Replies: 2

Graduate Absolute Convergence and Fubini's Theorem

Oxymoron
Nov 13, 2006 · Replies 15 · Nov 16, 2006

Replies: 15

Undergrad What are the key concepts of Lagrange Multipliers?

mtanti
Nov 16, 2006 · Replies 2 · Nov 16, 2006

Replies: 2

Graduate Homomorphic normed linear spaces

tuananh
Nov 14, 2006 · Replies 8 · Nov 15, 2006

Replies: 8

Graduate Proving That a Function is in L^1([1,$\infty)$)

Oxymoron
Nov 13, 2006 · Replies 17 · Nov 15, 2006

Replies: 17

Graduate Proving the Convergence of Sequence a_n to a: How to Show Unique Partial Limits?

MathematicalPhysicist
Nov 15, 2006 · Replies 3 · Nov 15, 2006

Replies: 3

Undergrad How Do You Analyze the Function \( f(x) = \frac{x^2}{(x-2)^2} \)?

helpm3pl3ase
Nov 14, 2006 · Replies 2 · Nov 15, 2006

Replies: 2

Graduate Why does Laplace(t) not diverge ?

kkirtac
Nov 14, 2006 · Replies 3 · Nov 15, 2006

Replies: 3

Graduate Understanding the Limit of 1/x as x Approaches 0: Uncovering the Error

coldboyqn
Nov 12, 2006 · Replies 7 · Nov 15, 2006

Replies: 7

Graduate Analyzing Convergence of 1/n(ln n)^p and 1/((n(ln n)(ln (ln n)))^p

jkh4
Nov 14, 2006 · Replies 3 · Nov 14, 2006

Replies: 3

Undergrad Are the Limits of an Increasing Function the Same?

dopey9
Nov 5, 2006 · Replies 2 · Nov 14, 2006

Replies: 2

Graduate Determine whether the following series converges

Chadlee88
Nov 5, 2006 · Replies 2 · Nov 14, 2006

Replies: 2

Graduate Evaluate Limit: [tex]\lim_{T\rightarrow 0^+} \ln(2e^{-\epsilon/kT}+1)[/itex]

quasar987
Nov 14, 2006 · Replies 5 · Nov 14, 2006

Replies: 5

Undergrad Solving Tricky Math Questions: Sinh(1.6) and cos 4t

tone999
Nov 12, 2006 · Replies 1 · Nov 13, 2006

Replies: 1

Undergrad Integral Help: Solving dy/(4-y^0.5)

kvanr
Nov 12, 2006 · Replies 9 · Nov 12, 2006

Replies: 9

Can anyone kindly show me the steps to solve this question?

executioner_c
Sep 7, 2006 · Replies 7 · Nov 12, 2006

Replies: 7

Undergrad Optimization questions to get ready for a test

NogardMX
Nov 11, 2006 · Replies 2 · Nov 11, 2006

Replies: 2

Graduate Complex Mapping - Express x & y in terms of u & v

evermore
Nov 9, 2006 · Replies 2 · Nov 10, 2006

Replies: 2

High School Don`t understand concept of function,limit

rakesh_rohilla
Nov 10, 2006 · Replies 1 · Nov 10, 2006

Replies: 1

Graduate Solve Convergent Series Problem - Help Appreciated

smithybrick
Nov 9, 2006 · Replies 1 · Nov 9, 2006

Replies: 1

Graduate What Is Azimuth Fourier Transform in Signal Processing?

chingkui
Nov 6, 2006 · Replies 1 · Nov 9, 2006

Replies: 1

Undergrad Integral of cos^2((π)x): Is it \frac{1}{3}?

americanforest
Nov 8, 2006 · Replies 6 · Nov 9, 2006

Replies: 6

Undergrad Partial Fractions: Deciding Formula Without Memorization

pivoxa15
Nov 7, 2006 · Replies 4 · Nov 8, 2006

Replies: 4

Undergrad How Do You Determine the Absolute Extrema of the Function ln(x)/x?

helpm3pl3ase
Nov 7, 2006 · Replies 5 · Nov 8, 2006

Replies: 5

Graduate Are My Solutions to the Separable Equation Correct?

413
Nov 7, 2006 · Replies 2 · Nov 8, 2006

Replies: 2

Is a Career in Actuarial Science Right for Me?

AdamS
Sep 5, 2004 · Replies 4 · Nov 7, 2006

Replies: 4

Graduate Why is the Cauchy Riemann relation important for complex differentiability?

Wiemster
Oct 28, 2006 · Replies 10 · Nov 7, 2006

Replies: 10

Undergrad What Are the Characteristics of This Sine Curve Equation?

silentthoughts
Nov 6, 2006 · Replies 1 · Nov 7, 2006

Replies: 1

Undergrad Is Calculus a Mysterious Art or Just Advanced Mathematics?

loom91
Aug 20, 2006 · Replies 40 · Nov 6, 2006

2

Replies: 40

Undergrad How Do You Find the Critical Numbers of a Function?

helpm3pl3ase
Nov 6, 2006 · Replies 1 · Nov 6, 2006

Replies: 1

Graduate Why do the slopes of f(x)=x^x^x and f(x)=x^x^x^x behave unexpectedly?

Rishav
Nov 6, 2006 · Replies 5 · Nov 6, 2006

Replies: 5

Graduate Does Showing F(x+1/n)--->F(x) Prove Continuity to the Right for Any Sequence?

quasar987
Nov 4, 2006 · Replies 4 · Nov 6, 2006

Replies: 4

Undergrad Arccos(x+y)=? addition theorems for inverse trigonometric functions?

raul_l
Oct 30, 2006 · Replies 17 · Nov 6, 2006

Replies: 17

Undergrad Primitive of x/sqrt(4+x^4): Is Substitution Necessary?

esmeco
Nov 6, 2006 · Replies 3 · Nov 6, 2006

Replies: 3

Graduate Proof of Inverse Function Theorem: Explained

ak416
Nov 3, 2006 · Replies 15 · Nov 5, 2006

Replies: 15

Undergrad Partial Derivatives of x^2yz+3y-xcos(3yz): df/dx and df/dy Solutions

cabellos
Nov 5, 2006 · Replies 1 · Nov 5, 2006

Replies: 1

Download "Calculus and Analytical Geometry" by Thomas Finny

bilalrouf
Nov 4, 2006 · Replies 2 · Nov 5, 2006

Replies: 2

Undergrad Integration Tables: Robust Online Resources for \int x sin(ax) sin(bx) dx

Xkaliber
Nov 4, 2006 · Replies 2 · Nov 4, 2006

Replies: 2

Undergrad Can You Solve this Differential Equation and Verify Its Solutions?

jkh4
Nov 4, 2006 · Replies 2 · Nov 4, 2006

Replies: 2

Graduate Can the Derivative of a Function be Evaluated as n Approaches Infinity?

Karlisbad
Nov 3, 2006 · Replies 5 · Nov 4, 2006

Replies: 5

Undergrad How Do You Determine Upper and Lower Bounds for Double/Triple Integrals?

Jacob87411
Nov 2, 2006 · Replies 6 · Nov 3, 2006

Replies: 6

Graduate Varaiance of Normal Distribution

Bazman
Nov 1, 2006 · Replies 6 · Nov 2, 2006

Replies: 6

Undergrad Derivative: sec4x tan4x + 8x/(1+x^4)

helpm3pl3ase
Nov 1, 2006 · Replies 5 · Nov 1, 2006

Replies: 5

Undergrad Finding the force using calculus

blumfeld0
Oct 31, 2006 · Replies 3 · Nov 1, 2006

Replies: 3

Graduate Calculating Power Series Coefficients with Differentiability

Karlisbad
Nov 1, 2006 · Replies 2 · Nov 1, 2006

Replies: 2

Graduate Boundedness in extended complex plane

matness
Oct 31, 2006 · Replies 8 · Nov 1, 2006

Replies: 8

Graduate Convolution and fourier transform puzzle

quasar987
Oct 29, 2006 · Replies 15 · Oct 31, 2006

Replies: 15

Graduate What is the partial derivative of z with respect to theta, with x held constant?

Poop-Loops
Oct 30, 2006 · Replies 11 · Oct 31, 2006

Replies: 11

Graduate Solving Chip Stacking Problems with Lagrange Multipliers

cjSlominski
Oct 31, 2006 · Replies 1 · Oct 31, 2006

Replies: 1

Undergrad How Can I Solve the Integration of (e^-x)/x Using Series?

ريمان
Oct 15, 2006 · Replies 14 · Oct 31, 2006

Replies: 14

Undergrad How to Differentiate Functions Involving Powers and Trigonometric Terms?

helpm3pl3ase
Oct 30, 2006 · Replies 5 · Oct 31, 2006

Replies: 5

Graduate Laplacian Vector: Definition & Derivation

pivoxa15
Oct 28, 2006 · Replies 4 · Oct 30, 2006

Replies: 4

Undergrad What's the different between a 'converge' and 'diverge' integral?

jkh4
Oct 29, 2006 · Replies 3 · Oct 30, 2006

Replies: 3

Undergrad Limits, flipping approaching direction

plutonium
Oct 29, 2006 · Replies 1 · Oct 29, 2006

Replies: 1

Graduate Is Regularity Preserved Under Reparametrization?

quasar987
Oct 23, 2006 · Replies 6 · Oct 29, 2006

Replies: 6

Undergrad What are the two points on y = x^4 - 2x^2 - x with a shared tangent line?

k3232x
Oct 25, 2006 · Replies 7 · Oct 28, 2006

Replies: 7

Graduate Can You Explicitly Construct a Hahn Banach Extension?

StatusX
Oct 27, 2006 · Replies 1 · Oct 28, 2006

Replies: 1

Undergrad Change of variable in indefinite integrals

quasar987
Oct 28, 2006 · Replies 2 · Oct 28, 2006

Replies: 2

Graduate What is the Length of a Curve with Imaginary Values?

blumfeld0
Oct 25, 2006 · Replies 8 · Oct 28, 2006

Replies: 8

Graduate How do I differentiate complex numbers in complex analysis?

Wiemster
Oct 28, 2006 · Replies 4 · Oct 28, 2006

Replies: 4

Undergrad Is this the correct way to solve for the integral of x^3cosx^2?

CDevo69
Oct 27, 2006 · Replies 6 · Oct 28, 2006

Replies: 6

Graduate Interpreting General Principle: What Does It Mean?

quasar987
Oct 25, 2006 · Replies 10 · Oct 28, 2006

Replies: 10

Undergrad How do you know when it's time for Trignometric Subsitution ?

jkh4
Oct 22, 2006 · Replies 5 · Oct 27, 2006

Replies: 5

Undergrad Limit of sin(x<sup>0</sup>)/x as x→0 = π/180

chandubaba
Oct 25, 2006 · Replies 7 · Oct 27, 2006

Replies: 7

Graduate Is Surface Smoothness Merely a Product of Its Parametrization?

quasar987
Oct 22, 2006 · Replies 5 · Oct 27, 2006

Replies: 5

Undergrad How Do You Derive the Geometric Series for 1/(1-x)?

Elec68
Oct 23, 2006 · Replies 5 · Oct 27, 2006

Replies: 5

Undergrad Question: Can the Decreasing Sequence be Proven Using Different Methods?

murshid_islam
Oct 23, 2006 · Replies 9 · Oct 26, 2006

Replies: 9

Undergrad Calculating Length of a Cable Between Poles

blumfeld0
Oct 26, 2006 · Replies 3 · Oct 26, 2006

Replies: 3

Graduate Approximating f(x) with Midpoint, Trapezoidal & Simpson's Rule

413
Oct 24, 2006 · Replies 1 · Oct 25, 2006

Replies: 1

Undergrad How Does Logarithmic Differentiation Work with Complex Functions?

helpm3pl3ase
Oct 23, 2006 · Replies 3 · Oct 25, 2006

Replies: 3

Graduate Is there a criterion for the regularness of a curve?

quasar987
Sep 14, 2006 · Replies 8 · Oct 24, 2006

Replies: 8

Undergrad Fourier Series: Simplified Explanation for Beginners

Brewer
Oct 23, 2006 · Replies 3 · Oct 24, 2006

Replies: 3

Graduate Is My Integral Calculation Correct for Finding the Volume of a Drilled Sphere?

blumfeld0
Oct 22, 2006 · Replies 1 · Oct 24, 2006

Replies: 1

Graduate Constucting a C-infinity Function

art777
Sep 25, 2006 · Replies 3 · Oct 23, 2006

Replies: 3

Undergrad How do you integrate the following questions?

jkh4
Oct 22, 2006 · Replies 1 · Oct 23, 2006

Replies: 1

Graduate Polar Form of Cauchy-Reimann Equations: A Comprehensive Guide | Due Tomorrow

baby261321
Oct 22, 2006 · Replies 1 · Oct 22, 2006

Replies: 1

Undergrad Volume Integration: Find Solutions

blumfeld0
Oct 21, 2006 · Replies 1 · Oct 22, 2006

Replies: 1

High School Question about vertical asymptotes

Johnnycab
Oct 19, 2006 · Replies 4 · Oct 21, 2006

Replies: 4

Undergrad Integration of powers of natural logs

sciencefog
Sep 15, 2004 · Replies 9 · Oct 21, 2006

Replies: 9

Undergrad Understanding Definite Integrals: Tips and Examples for Beginners

ryt
Oct 18, 2006 · Replies 8 · Oct 20, 2006

Replies: 8

Graduate Help Needed: Solving a Complex Math Integral in Spherical Coordinates

Zelos
Oct 14, 2006 · Replies 12 · Oct 18, 2006

Replies: 12

Graduate What are the fundamental concepts needed for advanced calculus?

Asmodeus
Oct 18, 2006 · Replies 1 · Oct 18, 2006

Replies: 1

Graduate Prove that a sequence of subsequential limits contains inf and sup

Sick0Fant
Oct 17, 2006 · Replies 3 · Oct 18, 2006

Replies: 3

Undergrad Why is the Absolute Value of X Taken in the Derivative of Arc Secant?

wazzup
Oct 17, 2006 · Replies 1 · Oct 18, 2006

Replies: 1

Undergrad Differentiating f(t) with Chain Rule

helpm3pl3ase
Oct 17, 2006 · Replies 2 · Oct 18, 2006

Replies: 2

Undergrad What is the Integral of 3x (sinx/cos^4x) dx?

413
Oct 15, 2006 · Replies 5 · Oct 17, 2006

Replies: 5

Undergrad How to Solve a Mid-Problem Calculus Step?

ElDavidas
Oct 17, 2006 · Replies 3 · Oct 17, 2006

Replies: 3

High School Reference Sheet: Common Derivatives Printable

Mbaboy
Oct 17, 2006 · Replies 1 · Oct 17, 2006

Replies: 1

Undergrad Is this summation limit a valid representation of e^x?

quinn
Oct 9, 2006 · Replies 6 · Oct 17, 2006

Replies: 6

Undergrad Integration do i use substitution or parts?

james5
Oct 15, 2006 · Replies 5 · Oct 16, 2006

Replies: 5

High School Understanding the Laws of Sine and Cosine

manbush
Oct 14, 2006 · Replies 3 · Oct 16, 2006

Replies: 3

Graduate How Can Schellbach's Formulae Help Calculate Pi from Complex Numbers?

Hacky
Oct 11, 2006 · Replies 3 · Oct 15, 2006

Replies: 3

Graduate Can the Integral of x*sin(x)^-1 be Solved using the Li Function?

KingNothing
Oct 15, 2006 · Replies 4 · Oct 15, 2006

Replies: 4

Graduate Directional derivative without geometry

Castilla
Oct 2, 2006 · Replies 10 · Oct 15, 2006

Replies: 10

Undergrad Finding Tangent Lines Through the Origin to Implicit Differentiation

Stalker23
Oct 13, 2006 · Replies 13 · Oct 14, 2006

Replies: 13

Undergrad Angle of incidence and reflection of a parabola?

nealh149
Oct 13, 2006 · Replies 2 · Oct 13, 2006

Replies: 2

Undergrad Are there alternative methods for proving multivariable limits?

biggins
Oct 11, 2006 · Replies 1 · Oct 13, 2006

Replies: 1

Undergrad Leibniz's notation and how suggestive it is

Werg22
Oct 10, 2006 · Replies 6 · Oct 12, 2006

Replies: 6

Undergrad Proving v^2 = n^2 (A^2-x^2) from v dv/dx = -n^2x

rhyso88
Oct 12, 2006 · Replies 2 · Oct 12, 2006

Replies: 2

Undergrad Integrating by Substitution: Solving Integrals with Square Roots

futb0l
Oct 12, 2006 · Replies 2 · Oct 12, 2006

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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