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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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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

Is My Solution for 4sinx - 3cosx Correct?

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

Replies: 3

Views: 8K

How to Calculate Radioactive Decay with Half-Life Formula

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

Replies: 9

Views: 5K

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: 4K

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: 8K

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

Nov 4, 2003 · Replies 9 · Nov 7, 2003

Replies: 9

Views: 43K

Reimann sums, okay. How about a Reimann product ?

Nov 6, 2003 · Replies 1 · Nov 7, 2003

Replies: 1

Views: 3K

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

Nov 6, 2003 · Replies 2 · Nov 7, 2003

Replies: 2

Views: 3K

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

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

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

Replies: 5

Views: 24K

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

How do I find directional derivatives using partial derivatives?

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

Replies: 4

Views: 3K

Learning Partial Integration: Step-by-Step Guide

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

Replies: 6

Views: 3K

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

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

Replies: 7

Views: 39K

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: 5K

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 Help: Find Volumes & Solve Problems

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

Replies: 2

Views: 4K

Simple differentiation question

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

Replies: 3

Views: 8K

Proof of Differentiability at a Point Implies Limit Exists

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

Replies: 3

Views: 3K

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

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

Replies: 2

Views: 8K

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

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

Replies: 16

Views: 21K

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

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

Replies: 5

Views: 4K

Understanding dy/dx in Calculus

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

Replies: 2

Views: 47K

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

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

Replies: 3

Views: 5K

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

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

Replies: 3

Views: 5K

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

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

Replies: 3

Views: 4K

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

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

Replies: 7

Views: 5K

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

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

Replies: 3

Views: 10K

Definite Integrals - Solve Problems & Learn Answers

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

Replies: 8

Views: 6K

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

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

Replies: 4

Views: 5K

Is the second equation a sphere?

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

Replies: 3

Views: 5K

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

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

Replies: 5

Views: 7K

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

Oct 9, 2003 · Replies 3 · Oct 9, 2003

Replies: 3

Views: 4K

Proof using epsilons and deltas.

Oct 6, 2003 · Replies 5 · Oct 9, 2003

Replies: 5

Views: 6K

What is the Differential of a Vector?

Oct 5, 2003 · Replies 2 · Oct 8, 2003

Replies: 2

Views: 4K

Proving the Divergence of A+B Series

Oct 5, 2003 · Replies 5 · Oct 8, 2003

Replies: 5

Views: 5K

Calculus problems, where to begin?

Oct 7, 2003 · Replies 2 · Oct 8, 2003

Replies: 2

Views: 4K

What differentiates Advanced Calculus from Real Analysis?

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

Replies: 7

Views: 5K

Why Are Definite Integrals Related to Antiderivatives?

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

Replies: 5

Views: 7K

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

Oct 5, 2003 · Replies 5 · Oct 6, 2003

Replies: 5

Views: 6K

A right circular cone is inscribed in a hemisphere.

Oct 2, 2003 · Replies 2 · Oct 6, 2003

Replies: 2

Views: 7K

When do most people do calculus?

Oct 5, 2003 · Replies 2 · Oct 5, 2003

Replies: 2

Views: 4K

Help with simple dot product proof

Oct 3, 2003 · Replies 6 · Oct 5, 2003

Replies: 6

Views: 30K

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

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

Replies: 2

Views: 5K

What is the area of a triangle formed by vectors?

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

Replies: 2

Views: 9K

Understanding Vectors: Magnitude and Angle Calculation

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

Replies: 6

Views: 5K

What is the relationship between Dot and cross product vector?

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

Replies: 5

Views: 12K

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

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

Replies: 7

Views: 4K

Calc Class: Derivatives & Surface Area of Circles

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

Replies: 16

Views: 7K

Unsuccessful Attempts at Solving Limit Questions

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

Replies: 2

Views: 4K

How Do I Solve for X in f(x) = c Using Logarithms?

Sep 7, 2003 · Replies 8 · Sep 13, 2003

Replies: 8

Views: 52K

Find the Angle for Maximum x Position in Free Fall Motion

Sep 10, 2003 · Replies 1 · Sep 11, 2003

Replies: 1

Views: 10K

Is there a flaw in my teacher's method of solving limits involving 0/0?

Sep 4, 2003 · Replies 10 · Sep 6, 2003

Replies: 10

Views: 7K

Double Integration Intervals: How to Find the Limits?

Sep 2, 2003 · Replies 7 · Sep 3, 2003

Replies: 7

Views: 6K

Struggling with Binomial Series Expansion? Get Help Here!

Aug 29, 2003 · Replies 2 · Aug 31, 2003

Replies: 2

Views: 8K

X to the xth power and other indices

Aug 24, 2003 · Replies 3 · Aug 27, 2003

Replies: 3

Views: 8K

Integrating Natural Logarithms: A Scientific Approach

Aug 13, 2003 · Replies 7 · Aug 25, 2003

Replies: 7

Views: 3K

Find Slope of Tangent Line at P(1,2): Answer = 5/2

Aug 20, 2003 · Replies 4 · Aug 24, 2003

Replies: 4

Views: 3K

How to find angle of a curve in xy coordinate plane?

Aug 14, 2003 · Replies 5 · Aug 15, 2003

Replies: 5

Views: 10K

Integrating rational functions

Aug 15, 2003 · Replies 3 · Aug 15, 2003

Replies: 3

Views: 5K

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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