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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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Hi again, here is my problem and my efforts

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

Replies: 2

Views: 2K

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

Jan 8, 2004 · Replies 2 · Jan 9, 2004

Replies: 2

Views: 4K

Easy to understand, hard to solve

Jan 8, 2004 · Replies 3 · Jan 9, 2004

Replies: 3

Views: 3K

Describing Points in Configurations using Set Theoretic and Vector Notation

Jan 8, 2004 · Replies 2 · Jan 9, 2004

Replies: 2

Views: 10K

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

Jan 8, 2004 · Replies 4 · Jan 9, 2004

Replies: 4

Views: 2K

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

Jan 4, 2004 · Replies 5 · Jan 5, 2004

Replies: 5

Views: 3K

Understanding the Vector Laplacian in the Navier Stokes Equations

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

Replies: 7

Views: 6K

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

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

Replies: 10

Views: 6K

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

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

Replies: 2

Views: 9K

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

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

Replies: 2

Views: 3K

Can You Solve These Advanced Calculus Problems?

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

Replies: 2

Views: 3K

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

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

Replies: 5

Views: 5K

Low number of kids passing BC Calc

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

Replies: 2

Views: 3K

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

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

Replies: 2

Views: 3K

Line Integral Interpretations: Physical and Geometric Uses

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

Replies: 2

Views: 4K

True or false that all real function is an antiderivative

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

Replies: 2

Views: 3K

Calculus Test Prep - Answers + Explanations

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

Replies: 11

Views: 5K

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

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

Replies: 11

Views: 7K

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

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

Replies: 12

Views: 4K

How to integrate without trigonometric substitution

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

Replies: 2

Views: 6K

Maximize Profit & Profit Calc for Jacket Prod.

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

Replies: 8

Views: 4K

Does dx have mulitple personalites?

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

Replies: 6

Views: 3K

Calculating Sums of Infinite Series for Nille

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

Replies: 7

Views: 3K

Find the height of the rectangle

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

Replies: 5

Views: 3K

How to Find the Extremal for This Integral?

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

Replies: 5

Views: 4K

How Do I Integrate Nested Trigonometric Functions?

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

Replies: 2

Views: 6K

Practice Limits in Calculus - Find Great Questions Here!

Dec 7, 2003 · Replies 3 · Dec 9, 2003

Replies: 3

Views: 3K

Need help on easy surface integral

Dec 6, 2003 · Replies 8 · Dec 8, 2003

Replies: 8

Views: 3K

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

Dec 7, 2003 · Replies 8 · Dec 8, 2003

Replies: 8

Views: 11K

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

Dec 8, 2003 · Replies 8 · Dec 8, 2003

Replies: 8

Views: 4K

Proving an Identity Using Series Manipulation

Dec 5, 2003 · Replies 2 · Dec 8, 2003

Replies: 2

Views: 3K

Solving Quadratic Problem: Find \omega

Dec 5, 2003 · Replies 2 · Dec 7, 2003

Replies: 2

Views: 2K

The Dirac delta function question

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

Replies: 5

Views: 4K

What is the Integral of 2^(x)?

Dec 5, 2003 · Replies 2 · Dec 5, 2003

Replies: 2

Views: 258K

I can't get the hang of those graphs

Dec 3, 2003 · Replies 3 · Dec 5, 2003

Replies: 3

Views: 3K

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

Dec 4, 2003 · Replies 5 · Dec 4, 2003

Replies: 5

Views: 5K

What Are the Prerequisites for Solving Physics Problems Using Calculus?

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

Replies: 13

Views: 3K

How do I simplify the expression Differentiating Integrals?

Dec 3, 2003 · Replies 3 · Dec 3, 2003

Replies: 3

Views: 7K

Help can someone differentiate e^(nx)

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

Replies: 10

Views: 96K

Derive the following, for any integer k

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

Replies: 5

Views: 3K

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

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

Replies: 2

Views: 4K

Integrals on exam I couldn't answer

Dec 1, 2003 · Replies 3 · Dec 1, 2003

Replies: 3

Views: 3K

Why Study Differentials?

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

Replies: 4

Views: 3K

A diff Eq on strings, check out the math.

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

2

Replies: 48

Views: 8K

What Are the Applications of Double Integrals in Multivariable Calculus?

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

Replies: 2

Views: 5K

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

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

Replies: 2

Views: 6K

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

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

Replies: 2

Views: 3K

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

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

Replies: 3

Views: 3K

Volume of region bounded by cone and parabloid

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

Replies: 5

Views: 13K

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

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

Replies: 2

Views: 8K

How Does Calculus Help Solve Motion Problems in Physics?

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

Replies: 2

Views: 3K

Prove the quotient theorem using the limit definition?

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

Replies: 2

Views: 3K

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

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

Replies: 3

Views: 5K

Work and energy (Using calculus to solve)

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

Replies: 4

Views: 14K

Technical Name Of Equatorially Concentric Rings?

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

Replies: 5

Views: 3K

Finding the Equation of a Tangent Line at a Given Point

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

Replies: 4

Views: 21K

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

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

Replies: 3

Views: 4K

Derivatives of natural logs and exponents

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

Replies: 7

Views: 15K

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

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

Replies: 1

Views: 4K

Finding ∫ cscx dx: Tips and Tricks

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

Replies: 13

Views: 10K

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

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

Replies: 5

Views: 3K

Solving Partial Fractions: Finding Unknown Coefficients

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

Replies: 5

Views: 3K

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

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

Replies: 2

Views: 6K

Single variable calculus question. (first post)

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

Replies: 4

Views: 3K

Point of inflection - always halfway between 2 critical points?

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

Replies: 2

Views: 8K

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

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

Replies: 10

Views: 6K

Optimization Using Differentiation

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

Replies: 2

Views: 15K

How to Calculate Radioactive Decay with Half-Life Formula

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

Replies: 9

Views: 4K

What is the rope's parametric equation?

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

Replies: 5

Views: 3K

Which Points on the Graph Match These Calculus Conditions?

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

Replies: 2

Views: 3K

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

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

Replies: 2

Views: 3K

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

Nov 9, 2003 · Replies 5 · Nov 9, 2003

Replies: 5

Views: 3K

Trig Substitution: Learn How to Integrate Easily

Nov 8, 2003 · Replies 3 · Nov 9, 2003

Replies: 3

Views: 3K

How to determine whether two complex trig equation is identical.

Nov 8, 2003 · Replies 4 · Nov 9, 2003

Replies: 4

Views: 3K

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

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

2

Replies: 32

Views: 7K

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

Nov 4, 2003 · Replies 9 · Nov 7, 2003

Replies: 9

Views: 42K

Using differentials to approx error

Nov 3, 2003 · Replies 2 · Nov 5, 2003

Replies: 2

Views: 3K

Learn About Nonstandard Analysis - Resources & Books

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

Replies: 9

Views: 5K

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

Nov 3, 2003 · Replies 3 · Nov 4, 2003

Replies: 3

Views: 5K

Calculating the Gradient of f at (4,5)

Nov 3, 2003 · Replies 4 · Nov 4, 2003

Replies: 4

Views: 7K

What is the derivative of a complex function?

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

Replies: 2

Views: 4K

Find the derivative of the function

Nov 1, 2003 · Replies 3 · Nov 3, 2003

Replies: 3

Views: 3K

How Accurate Is My Calculus Homework Solution?

Nov 2, 2003 · Replies 4 · Nov 3, 2003

Replies: 4

Views: 15K

Hrmm derivative problems (concept?)

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

Replies: 2

Views: 4K

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

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

Replies: 2

Views: 3K

Rate of increase of population of a country

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

Replies: 2

Views: 3K

Find the initial velocity of the second ball

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

Replies: 2

Views: 3K

Understanding the Notation of the Parts Formula

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

Replies: 2

Views: 3K

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

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

Replies: 2

Views: 3K

Learning Partial Integration: Step-by-Step Guide

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

Replies: 6

Views: 3K

In math, what is sometimes meant by Analysis

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

Replies: 5

Views: 5K

Find the length of the specified arc of the given curve

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

Replies: 2

Views: 3K

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

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

Replies: 7

Views: 4K

Parametrics and vector valued functions

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

Replies: 2

Views: 4K

How do I handle square roots in partial derivatives?

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

Replies: 4

Views: 4K

Limits splitting the fraction into two

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

Replies: 4

Views: 3K

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

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

Replies: 9

Views: 14K

Calc Help: Find Volume of Quadrant & Semicircle

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

Replies: 4

Views: 4K

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

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

Replies: 9

Views: 4K

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

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

Replies: 7

Views: 33K

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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