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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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Undergrad How Do You Integrate 1/x^(1+a)?

Oct 30, 2004 · Replies 4 · Oct 30, 2004

Replies: 4

Views: 2K

Graduate What are the Limits for Infinity in Mathematical Indeterminacy?

Oct 29, 2004 · Replies 5 · Oct 30, 2004

Replies: 5

Views: 3K

Undergrad Solving Calculus Problems: A & B Positive Numbers, fPrime & fDoublePrime

Oct 30, 2004 · Replies 4 · Oct 30, 2004

Replies: 4

Views: 2K

Undergrad Derivation of tanx: Step-by-Step Guide

Oct 28, 2004 · Replies 29 · Oct 30, 2004

Replies: 29

Views: 11K

Undergrad [Calc2] Question about convergence of series.

Oct 28, 2004 · Replies 6 · Oct 29, 2004

Replies: 6

Views: 2K

Undergrad How are x, y, and z related in their sequences?

Oct 29, 2004 · Replies 3 · Oct 29, 2004

Replies: 3

Views: 3K

Graduate Moment of a probability distribution

Oct 27, 2004 · Replies 4 · Oct 29, 2004

Replies: 4

Views: 2K

Undergrad Explaining Sin(x+h) = sinxcosh + cosxsinh

Oct 28, 2004 · Replies 3 · Oct 29, 2004

Replies: 3

Views: 3K

Undergrad Arclength in polar coordinates?

Oct 28, 2004 · Replies 3 · Oct 29, 2004

Replies: 3

Views: 4K

Undergrad What is the last level of calculus?

Oct 24, 2004 · Replies 21 · Oct 28, 2004

Replies: 21

Views: 4K

Undergrad When Can i apply L'Hopital's rule?

Oct 20, 2004 · Replies 2 · Oct 28, 2004

Replies: 2

Views: 4K

Graduate Continuous Nowhere, Continuous Everywhere: Tricky Function Example [0,1] Domain

Oct 26, 2004 · Replies 9 · Oct 28, 2004

Replies: 9

Views: 2K

Undergrad Help Solving Two Math Problems - Maths Freak in Need

Oct 21, 2004 · Replies 2 · Oct 28, 2004

Replies: 2

Views: 2K

Undergrad Troubleshooting Limits: How to Solve \frac{0}{0} Error

Oct 27, 2004 · Replies 20 · Oct 27, 2004

Replies: 20

Views: 3K

Undergrad Would the Series Converge if 2 Were Replaced by e?

Oct 27, 2004 · Replies 4 · Oct 27, 2004

Replies: 4

Views: 2K

Undergrad Isolating Variable L in G = log [ aL (1-e^(-bL) + S e^(-bL)]

Oct 20, 2004 · Replies 2 · Oct 27, 2004

Replies: 2

Views: 2K

Undergrad What Causes the Discontinuity in Differentiating x^2?

Oct 25, 2004 · Replies 22 · Oct 27, 2004

Replies: 22

Views: 3K

Undergrad How to Differentiate an Integral with a Variable Upper Limit?

Oct 27, 2004 · Replies 2 · Oct 27, 2004

Replies: 2

Views: 2K

Undergrad Average Array: Limit of Average Terms?

Oct 27, 2004 · Replies 3 · Oct 27, 2004

Replies: 3

Views: 4K

Undergrad What is the volume of the resulting solid?

Oct 25, 2004 · Replies 12 · Oct 27, 2004

Replies: 12

Views: 5K

Graduate Solve Trig Derivative: -8\int sec^3(\theta)+2sec^2(\theta)+sec(\theta)d\theta

Oct 26, 2004 · Replies 3 · Oct 27, 2004

Replies: 3

Views: 2K

Graduate Transforming a Wedge into an Angular Sector

Oct 24, 2004 · Replies 4 · Oct 27, 2004

Replies: 4

Views: 5K

Undergrad How Does the Sequence Convergence to 1/2 Work?

Oct 15, 2004 · Replies 9 · Oct 26, 2004

Replies: 9

Views: 3K

Graduate Fourier Transform: Find Without Integration

Oct 26, 2004 · Replies 3 · Oct 26, 2004

Replies: 3

Views: 3K

Undergrad Integration & Trig: Get Help Now!

Oct 25, 2004 · Replies 3 · Oct 26, 2004

Replies: 3

Views: 3K

Undergrad Is the Integral of f(t)*cost dt an Odd Function with Limits from -pi/2 to pi/2?

Oct 25, 2004 · Replies 2 · Oct 25, 2004

Replies: 2

Views: 2K

Graduate Reciprocal Series of Positive Integer Factors: Convergence & Sum

Oct 18, 2004 · Replies 2 · Oct 25, 2004

Replies: 2

Views: 2K

Undergrad Fun Problem: Area of Overlapping circles

Oct 25, 2004 · Replies 2 · Oct 25, 2004

Replies: 2

Views: 8K

Undergrad Maximum and Minimum Limits at Infinity Proof?

Oct 24, 2004 · Replies 6 · Oct 25, 2004

Replies: 6

Views: 5K

Undergrad Question arrising from integration homework (advanced integration i guess?)

Oct 24, 2004 · Replies 9 · Oct 25, 2004

Replies: 9

Views: 6K

High School Graph r(t) = <t^2, cos t, sin t>

Oct 24, 2004 · Replies 10 · Oct 24, 2004

Replies: 10

Views: 3K

Undergrad Proving Limits of Series: No Integrals Needed

Oct 23, 2004 · Replies 3 · Oct 24, 2004

Replies: 3

Views: 7K

Undergrad Calculating Area and Perimeter of Geometric Figures with pi^2 and (pi^2-1)

Oct 24, 2004 · Replies 3 · Oct 24, 2004

Replies: 3

Views: 2K

Undergrad Nth partial sum of a series Σ Ak is Sn = (n-1)/(n+1)

Oct 20, 2004 · Replies 12 · Oct 24, 2004

Replies: 12

Views: 15K

Graduate Calculating Area of Hyperbola & Line Region

Oct 23, 2004 · Replies 6 · Oct 24, 2004

Replies: 6

Views: 6K

Undergrad Quick easy question to make sure i got this

Oct 22, 2004 · Replies 6 · Oct 24, 2004

Replies: 6

Views: 2K

Graduate Uhmwhat is a constant with a verticle slash though it? heh

Oct 24, 2004 · Replies 2 · Oct 24, 2004

Replies: 2

Views: 3K

High School Where Can I Find and Pronounce Greek Symbols for Equations?

Oct 24, 2004 · Replies 2 · Oct 24, 2004

Replies: 2

Views: 2K

Undergrad Laplace Transform: Learn How To Solve Problems Quickly

Oct 23, 2004 · Replies 3 · Oct 24, 2004

Replies: 3

Views: 5K

Undergrad Can you prove n+1 ≥ (1+1/n)^n using induction?

Oct 16, 2004 · Replies 2 · Oct 23, 2004

Replies: 2

Views: 2K

Graduate Cauchy Riemann Conditions Question

Oct 15, 2004 · Replies 2 · Oct 23, 2004

Replies: 2

Views: 4K

How can I access textbook-style written problems on this forum?

Oct 22, 2004 · Replies 2 · Oct 22, 2004

Replies: 2

Views: 3K

Undergrad What Is the General Formula for Summing Series with r^2 and r^3 Terms?

Oct 19, 2004 · Replies 15 · Oct 22, 2004

Replies: 15

Views: 2K

I'd like to thank those who take the time to help others on this forum

Oct 21, 2004 · Replies 5 · Oct 21, 2004

Replies: 5

Views: 2K

High School Struggling with Integration? Check Out These Helpful Resources!

Oct 14, 2004 · Replies 2 · Oct 21, 2004

Replies: 2

Views: 2K

Undergrad Integration of a cone to find centre of mass

Oct 14, 2004 · Replies 2 · Oct 21, 2004

Replies: 2

Views: 6K

Graduate Strict local minimizer (multivariate)

Oct 19, 2004 · Replies 4 · Oct 21, 2004

Replies: 4

Views: 5K

Undergrad Quick series convergence question

Oct 20, 2004 · Replies 4 · Oct 21, 2004

Replies: 4

Views: 2K

Graduate What is the solution to the infinite lamp game?

Oct 19, 2004 · Replies 9 · Oct 21, 2004

Replies: 9

Views: 4K

Undergrad Converting Spherical Equations to Cylindrical and Rectangular

Oct 20, 2004 · Replies 2 · Oct 21, 2004

Replies: 2

Views: 28K

Undergrad Prove that the lim (x->1) x^2 + 2 is NOT equal to 2.999?

Oct 19, 2004 · Replies 6 · Oct 21, 2004

Replies: 6

Views: 3K

Undergrad Is 8 a Relative Max of F in the Given Domain?

Oct 13, 2004 · Replies 2 · Oct 21, 2004

Replies: 2

Views: 2K

Undergrad Acceleration and Velocity Problem

Oct 20, 2004 · Replies 2 · Oct 20, 2004

Replies: 2

Views: 5K

Undergrad Analyzing the Relationship Between GPA & TV Hours & Solving Real-World Problems

Oct 20, 2004 · Replies 2 · Oct 20, 2004

Replies: 2

Views: 3K

Undergrad Identity for tan(x-y) = [tan(x) - tan(y)]/[1-tan(x)tan(y)]

Oct 19, 2004 · Replies 4 · Oct 20, 2004

Replies: 4

Views: 3K

Graduate Space Curves -> Unit Tangent Vector and Curvature

Oct 20, 2004 · Replies 2 · Oct 20, 2004

Replies: 2

Views: 8K

Undergrad Confused about limit of function

Oct 18, 2004 · Replies 4 · Oct 20, 2004

Replies: 4

Views: 2K

Graduate Exploring the Limit of $\frac{1}{x} \int_0^x (1-tan2t)^{\frac{1}{t}}dt$

Oct 18, 2004 · Replies 7 · Oct 19, 2004

Replies: 7

Views: 4K

Undergrad Exploring the Limit of an Infinity/Infinity Undeterminate Form

Oct 16, 2004 · Replies 10 · Oct 18, 2004

Replies: 10

Views: 4K

Graduate Uniform Continuity (and Irrationals)

Oct 11, 2004 · Replies 2 · Oct 18, 2004

Replies: 2

Views: 3K

Graduate How Is the Tumor Growth Equation Solved Using Separation of Variables?

Oct 11, 2004 · Replies 2 · Oct 18, 2004

Replies: 2

Views: 2K

Why Is Admitting Mistakes a Sign of Growth?

Oct 11, 2004 · Replies 2 · Oct 18, 2004

Replies: 2

Views: 2K

Undergrad Mastering Partial Fractions for Integrating (x+2)/(x+4)^2

Oct 17, 2004 · Replies 3 · Oct 18, 2004

Replies: 3

Views: 3K

Graduate Derivative of U(X(t),t) with respect to t

Oct 10, 2004 · Replies 2 · Oct 18, 2004

Replies: 2

Views: 9K

Graduate Find the limit of the sequence

Oct 17, 2004 · Replies 2 · Oct 17, 2004

Replies: 2

Views: 16K

Undergrad Using e^ix to determine a trig identity

Oct 17, 2004 · Replies 2 · Oct 17, 2004

Replies: 2

Views: 3K

Undergrad Solving Sin/sec/tan/csc: -sqrt6/6

Oct 15, 2004 · Replies 5 · Oct 16, 2004

Replies: 5

Views: 7K

Undergrad Find all real roots of this polynomial

Oct 15, 2004 · Replies 14 · Oct 15, 2004

Replies: 14

Views: 18K

Graduate "Proof of a Formula for Differentiating x^p with Respect to y

Oct 8, 2004 · Replies 2 · Oct 15, 2004

Replies: 2

Views: 2K

Undergrad Why Does the First Step in Solving This Sequence Problem Work?

Oct 14, 2004 · Replies 7 · Oct 15, 2004

Replies: 7

Views: 2K

Graduate Compute Sum of 1/(n^2(2n-1)): Tips & Hints

Oct 14, 2004 · Replies 3 · Oct 15, 2004

Replies: 3

Views: 4K

Undergrad How Does Induction Prove the Formula for Terms in a Recurrence Relation?

Oct 14, 2004 · Replies 2 · Oct 14, 2004

Replies: 2

Views: 2K

Graduate Find accumulation points (real analysis)

Oct 13, 2004 · Replies 3 · Oct 14, 2004

Replies: 3

Views: 10K

Undergrad How to Find the Volume of a Cone Using Integration?

Oct 14, 2004 · Replies 2 · Oct 14, 2004

Replies: 2

Views: 24K

Undergrad How to differentiate f(x)=2sin(x)+2x^x?

Oct 12, 2004 · Replies 3 · Oct 14, 2004

Replies: 3

Views: 4K

Undergrad How to prove there is no limit of cos1/x using theorm of limit

Oct 12, 2004 · Replies 9 · Oct 14, 2004

Replies: 9

Views: 48K

Undergrad Limit Problems with Trigonometric Functions

Oct 10, 2004 · Replies 21 · Oct 14, 2004

Replies: 21

Views: 4K

Undergrad How Should Cable Be Laid to Minimize Costs Across a River?

Oct 13, 2004 · Replies 2 · Oct 13, 2004

Replies: 2

Views: 4K

Undergrad Are (0,1) and [0,1] equivalent intervals?

Oct 13, 2004 · Replies 5 · Oct 13, 2004

Replies: 5

Views: 3K

Graduate Abel's Lemma: Direct and Induction Proof

Oct 12, 2004 · Replies 2 · Oct 13, 2004

Replies: 2

Views: 5K

Undergrad What is the logic behind L'Hopital's Rule?

Oct 12, 2004 · Replies 4 · Oct 13, 2004

Replies: 4

Views: 3K

Undergrad Finding Maximum Area of Inscribed Rectangle in a Triangle Using Differentiation

Oct 12, 2004 · Replies 3 · Oct 12, 2004

Replies: 3

Views: 3K

Graduate Optimization Problem: Minimizing an Objective Function with a Constraint

Oct 12, 2004 · Replies 12 · Oct 12, 2004

Replies: 12

Views: 3K

Graduate Integrating nested root in denominator

Oct 5, 2004 · Replies 2 · Oct 12, 2004

Replies: 2

Views: 4K

Undergrad Can someone explain mimits and how it relates to the formal limit definition?

Oct 9, 2004 · Replies 16 · Oct 12, 2004

Replies: 16

Views: 8K

Graduate Integrating the ALLEE Effect: ds/dt = -a s ln(bs)

Oct 11, 2004 · Replies 3 · Oct 11, 2004

Replies: 3

Views: 2K

Undergrad Adding Trigonometric Functions: Get the Answer Here!

Oct 10, 2004 · Replies 4 · Oct 11, 2004

Replies: 4

Views: 3K

Undergrad Simple Riemann Sums question with answers not lining up

Oct 11, 2004 · Replies 3 · Oct 11, 2004

Replies: 3

Views: 2K

Undergrad Mean Value Theorem - f(x) = f(a)+(x-a)f'(u)

Oct 10, 2004 · Replies 8 · Oct 11, 2004

Replies: 8

Views: 2K

Undergrad What Mathematical Method Did Feynman Frequently Use?

Oct 10, 2004 · Replies 7 · Oct 11, 2004

Replies: 7

Views: 3K

Undergrad Calculating Moments of Inertia for Arbitrary Sections

Oct 11, 2004 · Replies 4 · Oct 11, 2004

Replies: 4

Views: 2K

Undergrad What does cross-sections perpendicular mean?

Oct 10, 2004 · Replies 2 · Oct 10, 2004

Replies: 2

Views: 11K

Undergrad What is the Maximum Value of u(x,t) in the Given Region?

Oct 10, 2004 · Replies 2 · Oct 10, 2004

Replies: 2

Views: 4K

Undergrad Ant crawls on a meter strick with acceleration

Oct 10, 2004 · Replies 3 · Oct 10, 2004

Replies: 3

Views: 2K

Graduate Where Can I Find a Simpler Proof of the Riemann Mapping Theorem?

Oct 8, 2004 · Replies 4 · Oct 9, 2004

Replies: 4

Views: 3K

Undergrad Solving a Geometry Problem: Area of a Circle with a Wedge

Oct 8, 2004 · Replies 2 · Oct 8, 2004

Replies: 2

Views: 3K

Undergrad Integrating (xsinx)^2: Tips and Tricks

Oct 2, 2004 · Replies 8 · Oct 8, 2004

Replies: 8

Views: 13K

Graduate Construct compact set of R with countable limit points

Oct 7, 2004 · Replies 8 · Oct 8, 2004

Replies: 8

Views: 10K

Undergrad How much work is required to drink through a straw placed in a glass of water?

Oct 7, 2004 · Replies 6 · Oct 8, 2004

Replies: 6

Views: 2K

Undergrad What is the Differentiation Rule for an Oven Temperature Function?

Oct 7, 2004 · Replies 2 · Oct 7, 2004

Replies: 2

Views: 2K

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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