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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 Integrating rational functions

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

Replies: 3

Views: 5K

Undergrad How do I solve this integral: int[1/(x*sqrt(x^2-1))]dx?

Aug 13, 2003 · Replies 11 · Aug 13, 2003

Replies: 11

Views: 6K

Undergrad How Can I Solve This Improper Integral With Absolute Value?

Aug 13, 2003 · Replies 1 · Aug 13, 2003

Replies: 1

Views: 4K

Undergrad Exercises on Partial Derivatives

Aug 8, 2003 · Replies 2 · Aug 8, 2003

Replies: 2

Views: 6K

Undergrad What is the power series for cos(u^2) up to the u^24 term?

Aug 4, 2003 · Replies 1 · Aug 4, 2003

Replies: 1

Views: 3K

Undergrad More on derivative of an exponential

Jul 31, 2003 · Replies 5 · Aug 2, 2003

Replies: 5

Views: 4K

Graduate Can a Function Satisfy This Complex Derivative Equation?

Jul 29, 2003 · Replies 4 · Jul 30, 2003

Replies: 4

Views: 6K

Graduate Integral Suppose f(x)=int(1/t.dt)

Jul 28, 2003 · Replies 5 · Jul 29, 2003

Replies: 5

Views: 10K

Undergrad Sum of small displacement vectors.

Jul 27, 2003 · Replies 2 · Jul 27, 2003

Replies: 2

Views: 3K

Undergrad Calculus - strange anomaly? can anyone explain

Jul 23, 2003 · Replies 5 · Jul 24, 2003

Replies: 5

Views: 3K

Undergrad Can anyone help with finding the Riemann sum for f(x)=x^3?

Jul 23, 2003 · Replies 1 · Jul 23, 2003

Replies: 1

Views: 3K

Undergrad How Can I Solve the Integral of Sin^8x Using Integration by Parts?

Jul 23, 2003 · Replies 1 · Jul 23, 2003

Replies: 1

Views: 3K

High School How can the derivative of x^x be solved?

Jul 17, 2003 · Replies 4 · Jul 22, 2003

Replies: 4

Views: 94K

Undergrad Can the value of pi be found through integration?

Jul 21, 2003 · Replies 4 · Jul 22, 2003

Replies: 4

Views: 3K

High School Series vs Sequence: Math Concepts Explained

Jul 14, 2003 · Replies 6 · Jul 15, 2003

Replies: 6

Views: 33K

Undergrad Can someone explain Implicit Differentiation and Related Rates in Calculus?

Jul 13, 2003 · Replies 2 · Jul 13, 2003

Replies: 2

Views: 3K

Undergrad Can the ratio test determine if an infinite series converges or not?

Jul 8, 2003 · Replies 11 · Jul 13, 2003

Replies: 11

Views: 3K

Undergrad How Do You Calculate the Power Series of (1-x)/(1-2x)^3?

Jul 7, 2003 · Replies 3 · Jul 9, 2003

Replies: 3

Views: 2K

Undergrad Differentiating ln x from first principles

Jul 7, 2003 · Replies 3 · Jul 7, 2003

Replies: 3

Views: 59K

Graduate 2 questions - series & inequalities

Jun 29, 2003 · Replies 16 · Jul 6, 2003

Replies: 16

Views: 5K

Undergrad Lagrange multipliers elliptic paraboloid

Jul 3, 2003 · Replies 4 · Jul 5, 2003

Replies: 4

Views: 6K

Graduate Does the Volume of a Solid Depend on Point of Tangency?

Jul 4, 2003 · Replies 4 · Jul 5, 2003

Replies: 4

Views: 4K

Graduate The math of physics - Calculus of Variation?

Jun 29, 2003 · Replies 3 · Jul 4, 2003

Replies: 3

Views: 5K

Undergrad Did I Solve This Work with Variable Force Problem Correctly?

Jul 3, 2003 · Replies 1 · Jul 3, 2003

Replies: 1

Views: 6K

Undergrad Proving L'Hospital's Rule with Mean Value Theorem

Jul 2, 2003 · Replies 2 · Jul 2, 2003

Replies: 2

Views: 7K

Undergrad How do I evaluate the iterated integral in my textbook?

Jun 29, 2003 · Replies 6 · Jul 1, 2003

Replies: 6

Views: 4K

Graduate Is the Vector Field F(x,y) Conservative?

Jun 30, 2003 · Replies 4 · Jul 1, 2003

Replies: 4

Views: 6K

Undergrad How Do You Calculate the Volume of a Solid Defined by z = 3 + cos(x) + cos(y)?

Jun 29, 2003 · Replies 1 · Jun 30, 2003

Replies: 1

Views: 3K

Undergrad Solving triple integrals in a tetrahedron: How do I get started?

Jun 29, 2003 · Replies 2 · Jun 30, 2003

Replies: 2

Views: 6K

Undergrad Understanding Lagrange Multipliers: Solving for Max and Min Values

Jun 27, 2003 · Replies 3 · Jun 27, 2003

Replies: 3

Views: 4K

Undergrad Asymptotes curve (1-2x)/(3x+5)

Jun 15, 2003 · Replies 5 · Jun 25, 2003

Replies: 5

Views: 5K

High School Derivatives & Extremas Practice Questions - Get Ready Now!

Jun 23, 2003 · Replies 1 · Jun 23, 2003

Replies: 1

Views: 3K

Graduate How can I use integrals to find the circumference of an ellipse?

Jun 17, 2003 · Replies 1 · Jun 17, 2003

Replies: 1

Views: 11K

Undergrad Find f'(x) of f(x) = 1/sqrt(x-3)

Jun 15, 2003 · Replies 1 · Jun 15, 2003

Replies: 1

Views: 3K

Undergrad Calculating Bullet Height: Moon vs Earth | Time to Reach Maximum Displacement

Jun 5, 2003 · Replies 6 · Jun 14, 2003

Replies: 6

Views: 8K

High School What is the purpose of calculus and how can it be applied?

Jun 11, 2003 · Replies 4 · Jun 14, 2003

Replies: 4

Views: 4K

Undergrad Line Integral and parameterization

Jun 13, 2003 · Replies 3 · Jun 13, 2003

Replies: 3

Views: 6K

High School Chain rule in Calc = Chain in Log?

Jun 5, 2003 · Replies 4 · Jun 11, 2003

Replies: 4

Views: 9K

Graduate Integration of irrational function

Jun 7, 2003 · Replies 2 · Jun 9, 2003

Replies: 2

Views: 7K

Undergrad Solve Partial Fractions: 1+u2/(1+u4)

Jun 7, 2003 · Replies 2 · Jun 9, 2003

Replies: 2

Views: 4K

Undergrad How Do You Find the Derivative of the Function f(x) = pi*x + 1/(cos^2(Pi*x))?

Jun 6, 2003 · Replies 4 · Jun 6, 2003

Replies: 4

Views: 4K

Undergrad Calculating Derivative of P with Respect to V for Constant T and R

Jun 3, 2003 · Replies 9 · Jun 4, 2003

Replies: 9

Views: 14K

Undergrad Lim x -> Inf of (x + sinx)/(x + cosx) Approaches 1

Jun 2, 2003 · Replies 7 · Jun 3, 2003

Replies: 7

Views: 4K

Graduate How does this limit problem follow from limit rules?

Jun 2, 2003 · Replies 5 · Jun 2, 2003

Replies: 5

Views: 3K

Graduate Square-based pyramids surface area

May 28, 2003 · Replies 6 · Jun 2, 2003

Replies: 6

Views: 4K

High School Second Derivatives: Simple Explanation & Graph Representation

May 31, 2003 · Replies 6 · Jun 1, 2003

Replies: 6

Views: 4K

Undergrad What Is the Fourth Derivative Test and How Does It Determine Extrema?

May 30, 2003 · Replies 3 · May 31, 2003

Replies: 3

Views: 12K

Undergrad Limits, what they are and what they do

May 24, 2003 · Replies 30 · May 31, 2003

2

Replies: 30

Views: 6K

Undergrad Why Doesn't the Sequence 2,0,2,0,2,0 Converge?

May 31, 2003 · Replies 4 · May 31, 2003

Replies: 4

Views: 3K

High School Find the Horizontal Tangent of f(x)=x^2 + 4x - 1

May 31, 2003 · Replies 2 · May 31, 2003

Replies: 2

Views: 3K

Undergrad Problem that uses implicit differentiation

May 31, 2003 · Replies 1 · May 31, 2003

Replies: 1

Views: 3K

Undergrad Understanding Continuity and Discontinuity in Calculus

May 30, 2003 · Replies 8 · May 31, 2003

Replies: 8

Views: 6K

High School Can you prove f'(x)/f(x)=|f(x)| using basic knowledge about lines and points?

May 20, 2003 · Replies 26 · May 22, 2003

Replies: 26

Views: 6K

Graduate Derivative of unit step function

May 3, 2003 · Replies 6 · May 6, 2003

Replies: 6

Views: 29K

Graduate Proving Σ0ooarctan(1/(n2+n+1))=π/2

Apr 26, 2003 · Replies 13 · May 4, 2003

Replies: 13

Views: 4K

Undergrad Solve Calculus Problems: Derivatives, Logs & More

May 2, 2003 · Replies 3 · May 3, 2003

Replies: 3

Views: 4K

Graduate Summation of sin(x/[n*(n+1)]) over n from 1 to ∞

Apr 30, 2003 · Replies 3 · May 2, 2003

Replies: 3

Views: 3K

Undergrad Can You Use Simple Substitution for Tricky Integrals?

Apr 22, 2003 · Replies 3 · Apr 22, 2003

Replies: 3

Views: 3K

Graduate Carnot Cycle and Line Integrals

Apr 15, 2003 · Replies 2 · Apr 22, 2003

Replies: 2

Views: 5K

Undergrad Why is e chosen as the natural base for logarithms?

Apr 18, 2003 · Replies 8 · Apr 22, 2003

Replies: 8

Views: 3K

Undergrad "How can I find the derivative of x?

Apr 18, 2003 · Replies 14 · Apr 20, 2003

Replies: 14

Views: 74K

Graduate Another fundamental infinite product & summation

Apr 13, 2003 · Replies 9 · Apr 17, 2003

Replies: 9

Views: 5K

Graduate Last of a series (correction of previous post)

Apr 15, 2003 · Replies 7 · Apr 16, 2003

Replies: 7

Views: 3K

Graduate Evaluating k-a to k+2a for Limit Sum of k*(p^k)*C

Apr 14, 2003 · Replies 4 · Apr 15, 2003

Replies: 4

Views: 4K

Undergrad Solving L'Hospital's Rule: Cosx/x^2

Apr 14, 2003 · Replies 3 · Apr 14, 2003

Replies: 3

Views: 27K

Undergrad How to Prove the Limit of (x^4+y^4)/(x^2+y^2) is 0 at (0,0)?

Apr 5, 2003 · Replies 14 · Apr 11, 2003

Replies: 14

Views: 4K

Graduate Discover the Power of Maclaurin's Series: Solving 1/(1+x^2) for -1 > x > 1

Apr 10, 2003 · Replies 3 · Apr 10, 2003

Replies: 3

Views: 3K

Undergrad What is the formal definition of a limit?

Apr 9, 2003 · Replies 3 · Apr 9, 2003

Replies: 3

Views: 4K

Undergrad Anti derivative of the function x/lnx

Apr 2, 2003 · Replies 2 · Apr 3, 2003

Replies: 2

Views: 3K

Undergrad Trouble converting Cartesian to Polar

Mar 30, 2003 · Replies 18 · Apr 2, 2003

Replies: 18

Views: 11K

Graduate A question about mixed partial derivative

Mar 25, 2003 · Replies 4 · Mar 26, 2003

Replies: 4

Views: 9K

Graduate Are Derivatives Misunderstood in Physics and Mathematics?

Mar 21, 2003 · Replies 22 · Mar 25, 2003

Replies: 22

Views: 6K

Graduate Find a line that maximally intersects a given function

Mar 23, 2003 · Replies 12 · Mar 25, 2003

Replies: 12

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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