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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.

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

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

Replies: 8

Undergrad Find the Angle for Maximum x Position in Free Fall Motion

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

Replies: 1

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

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

Replies: 10

Undergrad Double Integration Intervals: How to Find the Limits?

meister
Sep 2, 2003 · Replies 7 · Sep 3, 2003

Replies: 7

Undergrad Struggling with Binomial Series Expansion? Get Help Here!

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

Replies: 2

Undergrad X to the xth power and other indices

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

Replies: 3

Undergrad Integrating Natural Logarithms: A Scientific Approach

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

Replies: 7

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

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

Replies: 4

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

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

Replies: 5

Graduate Integrating rational functions

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

Replies: 3

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

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

Replies: 11

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

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

Replies: 1

Undergrad Exercises on Partial Derivatives

MathematicalPhysicist
Aug 8, 2003 · Replies 2 · Aug 8, 2003

Replies: 2

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

iceman
Aug 4, 2003 · Replies 1 · Aug 4, 2003

Replies: 1

Undergrad More on derivative of an exponential

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

Replies: 5

Graduate Can a Function Satisfy This Complex Derivative Equation?

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

Replies: 4

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

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

Replies: 5

Undergrad Sum of small displacement vectors.

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

Replies: 2

Undergrad Calculus - strange anomaly? can anyone explain

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

Replies: 5

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

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

Replies: 1

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

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

Replies: 1

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

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

Replies: 4

Undergrad Can the value of pi be found through integration?

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

Replies: 4

High School Series vs Sequence: Math Concepts Explained

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

Replies: 6

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

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

Replies: 2

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

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

Replies: 11

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

dan
Jul 7, 2003 · Replies 3 · Jul 9, 2003

Replies: 3

Undergrad Differentiating ln x from first principles

Imperial
Jul 7, 2003 · Replies 3 · Jul 7, 2003

Replies: 3

Graduate 2 questions - series & inequalities

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

Replies: 16

Undergrad Lagrange multipliers elliptic paraboloid

iceman
Jul 3, 2003 · Replies 4 · Jul 5, 2003

Replies: 4

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

iceman
Jul 4, 2003 · Replies 4 · Jul 5, 2003

Replies: 4

Graduate The math of physics - Calculus of Variation?

Mike2
Jun 29, 2003 · Replies 3 · Jul 4, 2003

Replies: 3

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

suffian
Jul 3, 2003 · Replies 1 · Jul 3, 2003

Replies: 1

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

KLscilevothma
Jul 2, 2003 · Replies 2 · Jul 2, 2003

Replies: 2

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

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

Replies: 6

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

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

Replies: 4

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

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

Replies: 1

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

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

Replies: 2

Undergrad Understanding Lagrange Multipliers: Solving for Max and Min Values

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

Replies: 3

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

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

Replies: 5

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

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

Replies: 1

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

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

Replies: 1

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

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

Replies: 1

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

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

Replies: 6

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

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

Replies: 4

Undergrad Line Integral and parameterization

discoverer02
Jun 13, 2003 · Replies 3 · Jun 13, 2003

Replies: 3

High School Chain rule in Calc = Chain in Log?

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

Replies: 4

Graduate Integration of irrational function

KLscilevothma
Jun 7, 2003 · Replies 2 · Jun 9, 2003

Replies: 2

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

KLscilevothma
Jun 7, 2003 · Replies 2 · Jun 9, 2003

Replies: 2

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

PrudensOptimus
Jun 6, 2003 · Replies 4 · Jun 6, 2003

Replies: 4

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

PrudensOptimus
Jun 3, 2003 · Replies 9 · Jun 4, 2003

Replies: 9

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

PrudensOptimus
Jun 2, 2003 · Replies 7 · Jun 3, 2003

Replies: 7

Graduate How does this limit problem follow from limit rules?

suffian
Jun 2, 2003 · Replies 5 · Jun 2, 2003

Replies: 5

Graduate Square-based pyramids surface area

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

Replies: 6

High School Second Derivatives: Simple Explanation & Graph Representation

dav2008
May 31, 2003 · Replies 6 · Jun 1, 2003

Replies: 6

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

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

Replies: 3

Undergrad Limits, what they are and what they do

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

2

Replies: 30

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

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

Replies: 4

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

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

Replies: 2

Undergrad Problem that uses implicit differentiation

gigi9
May 31, 2003 · Replies 1 · May 31, 2003

Replies: 1

Undergrad Understanding Continuity and Discontinuity in Calculus

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

Replies: 8

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

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

Replies: 26

Graduate Derivative of unit step function

Will
May 3, 2003 · Replies 6 · May 6, 2003

Replies: 6

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

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

Replies: 13

Undergrad Solve Calculus Problems: Derivatives, Logs & More

vadlamudit
May 2, 2003 · Replies 3 · May 3, 2003

Replies: 3

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

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

Replies: 3

Undergrad Can You Use Simple Substitution for Tricky Integrals?

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

Replies: 3

Graduate Carnot Cycle and Line Integrals

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

Replies: 2

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

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

Replies: 8

Undergrad "How can I find the derivative of x?

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

Replies: 14

Graduate Another fundamental infinite product & summation

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

Replies: 9

Graduate Last of a series (correction of previous post)

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

Replies: 7

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

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

Replies: 4

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

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

Replies: 3

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

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

Replies: 14

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

newton1
Apr 10, 2003 · Replies 3 · Apr 10, 2003

Replies: 3

Undergrad What is the formal definition of a limit?

mathshead
Apr 9, 2003 · Replies 3 · Apr 9, 2003

Replies: 3

Undergrad Anti derivative of the function x/lnx

Murad A.Omar
Apr 2, 2003 · Replies 2 · Apr 3, 2003

Replies: 2

Undergrad Trouble converting Cartesian to Polar

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

Replies: 18

Graduate A question about mixed partial derivative

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

Replies: 4

Graduate Are Derivatives Misunderstood in Physics and Mathematics?

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

Replies: 22

Graduate Find a line that maximally intersects a given function

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

Replies: 12

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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