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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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Graduate Something gone horribly wrong (Integration)

Feb 5, 2004 · Replies 19 · Feb 8, 2004

Replies: 19

Views: 6K

Graduate What is the difference between surface boundary and point-set boundary?

Feb 5, 2004 · Replies 8 · Feb 8, 2004

Replies: 8

Views: 4K

Undergrad Inelastic collisions fired bullet

Jan 30, 2004 · Replies 2 · Feb 6, 2004

Replies: 2

Views: 2K

Graduate Schröder's equation and functional analysis

Feb 3, 2004 · Replies 4 · Feb 6, 2004

Replies: 4

Views: 5K

Undergrad Calculating an Intergral over C Using Force F and Circle C

Feb 5, 2004 · Replies 2 · Feb 6, 2004

Replies: 2

Views: 2K

High School Finding the Antiderivative of sin^4(x) in Basic Calculus

Feb 4, 2004 · Replies 8 · Feb 5, 2004

Replies: 8

Views: 3K

Graduate What is the limit of [cot(\pi x)sin(x)]/2sec(x) as x approaches 0?

Feb 4, 2004 · Replies 4 · Feb 5, 2004

Replies: 4

Views: 3K

Graduate Find Radius of Circle Given Volume of Solid is 10 Cubic Meters

Feb 4, 2004 · Replies 2 · Feb 5, 2004

Replies: 2

Views: 4K

Undergrad How can I evaluate limits involving trig functions?

Feb 4, 2004 · Replies 6 · Feb 4, 2004

Replies: 6

Views: 15K

Undergrad Maximizing the Area of a Triangle in the First Quadrant

Feb 3, 2004 · Replies 2 · Feb 4, 2004

Replies: 2

Views: 7K

Graduate Upper and Lower Sums: Functions w/ Property?

Feb 2, 2004 · Replies 6 · Feb 3, 2004

Replies: 6

Views: 6K

Undergrad How Do You Calculate the Volume of a Solid with Triangular Cross Sections?

Jan 29, 2004 · Replies 5 · Feb 2, 2004

Replies: 5

Views: 8K

Graduate Proof of the integrability of a step function

Jan 26, 2004 · Replies 2 · Feb 2, 2004

Replies: 2

Views: 8K

Undergrad How can c be shown to bisect the angle between a and b?

Feb 1, 2004 · Replies 5 · Feb 2, 2004

Replies: 5

Views: 15K

Graduate How to Show Force and Velocity are Perpendicular in a Magnetic Field?

Jan 28, 2004 · Replies 2 · Feb 1, 2004

Replies: 2

Views: 3K

Undergrad What is the missing term in this trig integration problem?

Jan 31, 2004 · Replies 3 · Feb 1, 2004

Replies: 3

Views: 3K

Undergrad Partial derivatives + Chain rule

Jan 28, 2004 · Replies 6 · Jan 30, 2004

Replies: 6

Views: 17K

Undergrad What Does R3-->R Mean in Function Mapping?

Jan 22, 2004 · Replies 2 · Jan 30, 2004

Replies: 2

Views: 4K

Undergrad Find the sum of 1/((n)(n-1)) from n = 1 to 100

Jan 27, 2004 · Replies 5 · Jan 29, 2004

Replies: 5

Views: 3K

Undergrad How do you find the speed in this question?

Jan 27, 2004 · Replies 5 · Jan 28, 2004

Replies: 5

Views: 2K

Graduate Master Limits with Analysis Proofs: Get Expert Help Now!

Jan 25, 2004 · Replies 5 · Jan 26, 2004

Replies: 5

Views: 3K

Undergrad Volume of Ellipse Cross Section Perpendicular to x-Axis

Jan 20, 2004 · Replies 4 · Jan 26, 2004

Replies: 4

Views: 3K

Undergrad Can You Help Me Solve These Trigonometric Integrals?

Jan 25, 2004 · Replies 11 · Jan 26, 2004

Replies: 11

Views: 4K

Undergrad Integrate cos^3xdx - First Clue: Substitute (1-(Sinx)^2)cosxdx

Jan 24, 2004 · Replies 7 · Jan 25, 2004

Replies: 7

Views: 9K

Graduate Solution: Solve f(x)=x2+\int_0^x e^{-t}f(x-t)dt for f(x)

Jan 24, 2004 · Replies 2 · Jan 24, 2004

Replies: 2

Views: 3K

High School Review Tips for Calculus Midterms

Jan 16, 2004 · Replies 2 · Jan 23, 2004

Replies: 2

Views: 2K

Undergrad How to Calculate the Rate of Change of Surface Area for an Expanding Sphere?

Jan 20, 2004 · Replies 2 · Jan 23, 2004

Replies: 2

Views: 3K

Undergrad Differentiation under the integral sign

Jan 21, 2004 · Replies 4 · Jan 23, 2004

Replies: 4

Views: 6K

Graduate What is Non-Integer Calculus and How Does it Work?

Jan 16, 2004 · Replies 2 · Jan 23, 2004

Replies: 2

Views: 2K

Undergrad How to take the derivative of this function

Jan 20, 2004 · Replies 2 · Jan 20, 2004

Replies: 2

Views: 2K

Graduate What Are the Hottest and Coldest Points on the Unit Ball?

Jan 19, 2004 · Replies 6 · Jan 20, 2004

Replies: 6

Views: 5K

High School Intersect From Two Logarithmic Functions

Jan 19, 2004 · Replies 3 · Jan 20, 2004

Replies: 3

Views: 17K

Undergrad Webpage title: How to Find the Area Bounded by Curves on a Given Interval

Jan 13, 2004 · Replies 9 · Jan 19, 2004

Replies: 9

Views: 12K

Undergrad I've done Calculus long time ago But now again I am doing it

Jan 9, 2004 · Replies 8 · Jan 19, 2004

Replies: 8

Views: 3K

Undergrad Solve Limit Question: f(x)=(1+.01x)^(10/x)

Jan 14, 2004 · Replies 4 · Jan 19, 2004

Replies: 4

Views: 2K

Undergrad Volume of Revolution: Calculate the Volume

Jan 16, 2004 · Replies 16 · Jan 18, 2004

Replies: 16

Views: 5K

Undergrad Continuity And Differentiability

Jan 10, 2004 · Replies 2 · Jan 17, 2004

Replies: 2

Views: 4K

Undergrad Describing Points on a Line Using Set and Vector Notation

Jan 8, 2004 · Replies 2 · Jan 15, 2004

Replies: 2

Views: 2K

Graduate Prove any function f(x) can be written uniquely as f(x) = E(x) + O(x)

Jan 15, 2004 · Replies 5 · Jan 15, 2004

Replies: 5

Views: 5K

Undergrad Solve Calculus Problem: Minimal Time to Travel 12 km Down Shoreline

Jan 13, 2004 · Replies 2 · Jan 14, 2004

Replies: 2

Views: 3K

Poll

Undergrad The General Definition of Instantaneous Speed: A Debate on V=dx/dt vs V=x/t

Jan 13, 2004 · Replies 5 · Jan 14, 2004

Replies: 5

Views: 2K

High School What Points Have a Y-Coordinate of -3 and Are 13 Units from (1,2)?

Jan 12, 2004 · Replies 3 · Jan 12, 2004

Replies: 3

Views: 3K

Graduate How to Convert Cartesian Navier-Stokes to Cylindrical/Spherical Coordinates?

Jan 2, 2004 · Replies 2 · Jan 12, 2004

Replies: 2

Views: 5K

Undergrad How to Find the Derivative of y=x^y When y is Not Expressed in terms of x?

Jan 10, 2004 · Replies 6 · Jan 11, 2004

Replies: 6

Views: 2K

Graduate Is the following function Riemann integrable?

Jan 10, 2004 · Replies 10 · Jan 10, 2004

Replies: 10

Views: 3K

Undergrad Hi again, here is my problem and my efforts

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

Replies: 2

Views: 2K

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

Jan 8, 2004 · Replies 2 · Jan 9, 2004

Replies: 2

Views: 5K

Undergrad Easy to understand, hard to solve

Jan 8, 2004 · Replies 3 · Jan 9, 2004

Replies: 3

Views: 3K

Graduate Describing Points in Configurations using Set Theoretic and Vector Notation

Jan 8, 2004 · Replies 2 · Jan 9, 2004

Replies: 2

Views: 10K

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

Jan 8, 2004 · Replies 4 · Jan 9, 2004

Replies: 4

Views: 2K

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

Jan 4, 2004 · Replies 5 · Jan 5, 2004

Replies: 5

Views: 3K

Graduate Understanding the Vector Laplacian in the Navier Stokes Equations

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

Replies: 7

Views: 7K

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

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

Replies: 10

Views: 6K

Graduate 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

Graduate Average distance between points on a circle

Dec 28, 2003 · Replies 2 · Dec 29, 2003

Replies: 2

Views: 12K

Undergrad 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

Graduate Can You Solve These Advanced Calculus Problems?

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

Replies: 2

Views: 3K

Graduate 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

Graduate Functions Satisfying the Given Relations

Nov 25, 2003 · Replies 21 · Dec 22, 2003

Replies: 21

Views: 9K

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

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

Replies: 2

Views: 3K

Graduate Differential function for which limit as x-> infinity

Dec 20, 2003 · Replies 9 · Dec 22, 2003

Replies: 9

Views: 4K

Graduate Line Integral Interpretations: Physical and Geometric Uses

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

Replies: 2

Views: 4K

Graduate True or false that all real function is an antiderivative

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

Replies: 2

Views: 3K

Undergrad Calculus Test Prep - Answers + Explanations

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

Replies: 11

Views: 5K

Undergrad 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

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

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

Replies: 12

Views: 4K

Graduate How to integrate without trigonometric substitution

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

Replies: 2

Views: 6K

Undergrad Maximize Profit & Profit Calc for Jacket Prod.

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

Replies: 8

Views: 4K

Graduate Does dx have mulitple personalites?

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

Replies: 6

Views: 3K

Graduate Calculating Sums of Infinite Series for Nille

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

Replies: 7

Views: 3K

Undergrad Find the height of the rectangle

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

Replies: 5

Views: 3K

Graduate How to Find the Extremal for This Integral?

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

Replies: 5

Views: 4K

High School What is the slope of a 0 degree angle and how can you find it?

Dec 8, 2003 · Replies 15 · Dec 10, 2003

Replies: 15

Views: 12K

Undergrad How Do I Integrate Nested Trigonometric Functions?

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

Replies: 2

Views: 6K

Undergrad Practice Limits in Calculus - Find Great Questions Here!

Dec 7, 2003 · Replies 3 · Dec 9, 2003

Replies: 3

Views: 3K

Graduate Need help on easy surface integral

Dec 6, 2003 · Replies 8 · Dec 8, 2003

Replies: 8

Views: 4K

Undergrad 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

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

Dec 8, 2003 · Replies 8 · Dec 8, 2003

Replies: 8

Views: 4K

Graduate Proving an Identity Using Series Manipulation

Dec 5, 2003 · Replies 2 · Dec 8, 2003

Replies: 2

Views: 3K

Graduate Solving Quadratic Problem: Find \omega

Dec 5, 2003 · Replies 2 · Dec 7, 2003

Replies: 2

Views: 2K

Graduate The Dirac delta function question

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

Replies: 5

Views: 5K

High School What is the Integral of 2^(x)?

Dec 5, 2003 · Replies 2 · Dec 5, 2003

Replies: 2

Views: 260K

High School I can't get the hang of those graphs

Dec 3, 2003 · Replies 3 · Dec 5, 2003

Replies: 3

Views: 3K

High School 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

Undergrad What Are the Prerequisites for Solving Physics Problems Using Calculus?

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

Replies: 13

Views: 4K

Graduate How do I simplify the expression Differentiating Integrals?

Dec 3, 2003 · Replies 3 · Dec 3, 2003

Replies: 3

Views: 7K

High School Help can someone differentiate e^(nx)

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

Replies: 10

Views: 97K

Graduate Derive the following, for any integer k

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

Replies: 5

Views: 3K

Undergrad How can I change this y=2/3x^(3/2)-1/2x^(1/2)

Nov 30, 2003 · Replies 6 · Dec 1, 2003

Replies: 6

Views: 2K

Undergrad 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: 5K

Undergrad Integrals on exam I couldn't answer

Dec 1, 2003 · Replies 3 · Dec 1, 2003

Replies: 3

Views: 3K

Undergrad Why Study Differentials?

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

Replies: 4

Views: 3K

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

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

2

Replies: 48

Views: 8K

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

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

Replies: 2

Views: 5K

Undergrad Find the smallest value of this function.

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

Replies: 5

Views: 8K

Graduate 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

Undergrad 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

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

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

Replies: 3

Views: 4K

Undergrad Volume of region bounded by cone and parabloid

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

Replies: 5

Views: 13K

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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