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 Extremal condition in calculus of variations, geometric

  • jonjacson
  • · Replies 7 ·
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7

Does the Sequence Converge or Diverge?

  • karush
  • · Replies 2 ·
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2

Evaluation of definite integral (is it correct?)

  • Noah1
  • · Replies 3 ·
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3

Undergrad Are the functions for mixed derivative always equal?

  • Aldnoahz
  • · Replies 7 ·
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7

Undergrad How does the change in area compare to the differential area element?

  • member 428835
  • · Replies 5 ·
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5

High School Why differential of e^x is special?

  • fission
  • · Replies 3 ·
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High School Confusion regarding area of this figure

  • Prem1998
  • · Replies 4 ·
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4

Undergrad Laplace transformation of nested function

  • chester20080
  • · Replies 1 ·
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High School Given circle, find the line of bearing of tan lines thru 0,0

  • srcs
  • · Replies 5 ·
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5

Undergrad What is the derivative of the inverse secant function?

  • askor
  • · Replies 10 ·
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10

Graduate How Does Dimensionality Influence a Polynomial Integral?

  • spaghetti3451
  • · Replies 1 ·
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How Do You Calculate Position from Velocity at Time t?

  • karush
  • · Replies 2 ·
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2

Evaluating Integrals: ∫_(-4)^1[f(x)]dx = (-125)/6

  • Noah1
  • · Replies 2 ·
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2

Undergrad How Do You Simplify ν∇⋅(ρν)?

  • echandler
  • · Replies 1 ·
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1

Finding area (application of definite integral)

  • Noah1
  • · Replies 9 ·
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9

Undergrad Why does u-substitution give 0 for the integral of 1/z around the unit circle?

  • Apogee
  • · Replies 3 ·
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3

Find $\tan(2x)$ Given $\cos(x-y)$ and $\sin(x+y)$

  • kaliprasad
  • · Replies 3 ·
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3

High School Why can't degrees be used to approximate tan(46)?

  • Prem1998
  • · Replies 11 ·
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11

Find f(a+b): $f(x)=\dfrac {2^x+2^{-x}}{2^x-2^{-x}}$

  • Albert1
  • · Replies 2 ·
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2

Fourier series problem

  • jimmy93
  • · Replies 1 ·
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What is the correct solution for $\int_{0}^{1}x\sqrt{18-2x^2} \,dx$?

  • cbarker1
  • · Replies 1 ·
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1

What Is the Derivative of 4f(x) at x = 6?

  • Teh
  • · Replies 2 ·
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Undergrad Velocity with respect to arclength is a unit tangent vector?

  • Aldnoahz
  • · Replies 5 ·
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5

Undergrad Differentiability of multivariable functions

  • Sho Kano
  • · Replies 9 ·
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9

What is the inequality form for a decreasing curve's slope?

  • Teh
  • · Replies 7 ·
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7

High School Learning Integrals with the Graph of y=x^2

  • Stephanus
  • · Replies 6 ·
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6

Ratio Test for Sum $\tiny{206.10.5.84}$

  • karush
  • · Replies 3 ·
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3

Finding Max and Min of $sin(x)sin(y)$ given $x+y=\dfrac {2\pi}{3}$

  • Albert1
  • · Replies 3 ·
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3

Find Derivative: Solve G'(3) Problem

  • Teh
  • · Replies 7 ·
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7

What is the radius of the oil slick after 10 minutes?

  • Noah1
  • · Replies 2 ·
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2

Sum of Infinite Series: TI and Book Solutions

  • karush
  • · Replies 2 ·
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2

Undergrad Can we remove the arbitrary function?

  • flower321
  • · Replies 1 ·
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1

How Can I Solve for B in My Math Problem?

  • Teh
  • · Replies 7 ·
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7

Undergrad How is the Limit of This Sequence Determined?

  • Buffu
  • · Replies 21 ·
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21

Supposed to use the root and ratio test

  • karush
  • · Replies 2 ·
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Finding f/g: Composite Functions

  • needhelpplease
  • · Replies 4 ·
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4

Simplifying calculus homework problems

  • hmhmherath
  • · Replies 3 ·
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Use the techniques of geometric series

  • karush
  • · Replies 4 ·
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4

206.8.7.47 int sin(10x) cos(5x) dx Simpsons rule

  • karush
  • · Replies 4 ·
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206.10.3.17 Evaluate the following geometric sum

  • karush
  • · Replies 6 ·
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Finding the slope of a tangent line

  • Teh
  • · Replies 1 ·
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1

High School Does 0.999... equal 1 or just approach it?

  • Kaura
  • · Replies 4 ·
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4

Undergrad Legendre Differential Equation

  • TimeRip496
  • · Replies 15 ·
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15

What is the volume of the solid bounded by two paraboloids?

  • cbarker1
  • · Replies 6 ·
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6

High School How vertical and horizontal shifts affect roots of quadratic and cubic functions

  • Zakariyya
  • · Replies 1 ·
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1

Undergrad Determining the flux of an arbitrary vector function

  • DarkBabylon
  • · Replies 2 ·
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2

Find the Slope of a Curve y=f(x) at (a,f(a)) - Determine a f

  • Teh
  • · Replies 2 ·
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242.10.3.27 using the geometric formula of a sum

  • karush
  • · Replies 7 ·
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Undergrad Limit with integral and absolute value

  • Genilson
  • · Replies 11 ·
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11
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6

Graduate Integration of velocity and thrust angle equation

  • tomwilliam2
  • · Replies 2 ·
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Graduate How to Maximize a Nonlinear Function with Limited Variables?

  • ericdavid
  • · Replies 18 ·
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18

How can 1/25 become 10?

  • Teh
  • · Replies 3 ·
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3

10.3.54 repeating decimal + geometric series

  • karush
  • · Replies 2 ·
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Undergrad Second order infinitesimal: versed sine and chord of a circle

  • jonjacson
  • · Replies 1 ·
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1
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5

Undergrad Integration - chain rule / functional

  • binbagsss
  • · Replies 20 ·
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20

High School Absolute convergence Text Book question: Boas 3rd Ed

  • Battlemage!
  • · Replies 4 ·
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4

High School Which Calculus book has the most useful formulas and tables for problem-solving?

  • chris bedford
  • · Replies 1 ·
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Undergrad Motivation for Fourier series/transform

  • MexChemE
  • · Replies 8 ·
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8

What is the answer after convergence in TI-Nspire CX CAS?

  • karush
  • · Replies 3 ·
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Graduate Does the maximum value of the following integral exist?

  • Tspirit
  • · Replies 4 ·
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4

Series using Geometric series argument

  • karush
  • · Replies 2 ·
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Undergrad What is the Upper Bound of this Summation?

  • mooncrater
  • · Replies 6 ·
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6

Undergrad Is Euler's Identity Applicable to Transforming f(x)=constant*e^(-x^2)?

  • zpatenaude37
  • · Replies 5 ·
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Undergrad Solving a Reverse Series Problem in College Calculus

  • Dr. Courtney
  • · Replies 6 ·
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6

Undergrad Gaussian integration for complex phase

  • spaghetti3451
  • · Replies 1 ·
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1

Proving Limit of Piecewise Function at x=0

  • Harambe1
  • · Replies 2 ·
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2
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2

What is the Formula for the Sequence 242.9.1.24-26?

  • karush
  • · Replies 10 ·
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205.23 related rates sphere volume

  • karush
  • · Replies 6 ·
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6

What is the limit of $\frac{n^2}{2^n}$ as $n$ approaches infinity?

  • karush
  • · Replies 6 ·
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6

High School Does the following cross product identity always work?

  • em370
  • · Replies 2 ·
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2

Is There a Discrepancy in the Bacteria Growth Formula?

  • karush
  • · Replies 4 ·
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4

Undergrad What will be the 4th axis of a 3d curl?

  • malfoy23111995
  • · Replies 1 ·
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1

Graduate Integrating definite Heaviside function

  • bfeinberg
  • · Replies 3 ·
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3

Undergrad How do you know when ∞ - ∞ is zero?

  • Battlemage!
  • · Replies 6 ·
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6

High School The Significance of the Smallest Non-Zero Derivative for a Polynomial Function

  • MiLara
  • · Replies 9 ·
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9

Definite Integration: $$\int^{\frac{\sqrt{5}+1}{2}}_{1}$$

  • juantheron
  • · Replies 1 ·
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1

Graduate Convergence properties of integrals

  • spaghetti3451
  • · Replies 15 ·
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15

Undergrad Alternating partial sums of a series

  • spaghetti3451
  • · Replies 8 ·
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8

Solve [ASK] Limit of Cosine: How to?

  • Monoxdifly
  • · Replies 7 ·
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7

High School How Do You Simplify 12/4 in an Indefinite Integral?

  • NickTesla
  • · Replies 6 ·
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6

High School Natural exponential function, calculus

  • Medtner
  • · Replies 2 ·
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2

Identifying Vertical Asymptotes: A Non-Factoring Method

  • Teh
  • · Replies 6 ·
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6
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5

Thanks for catching that! I will make the corrections.

  • karush
  • · Replies 6 ·
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6

Graduate Who can help evaluate this integral?

  • Chestermiller
  • · Replies 4 ·
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4

Undergrad What Defines an Improper Integral?

  • NihalRi
  • · Replies 2 ·
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2

Undergrad Definitions of the Riemann integral

  • Frank Castle
  • · Replies 14 ·
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14

Undergrad Predicting Particle Trajectories in a Velocity Field

  • member 428835
  • · Replies 2 ·
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2

Undergrad A-level differentiation/derivative dilemma

  • Martin Harris
  • · Replies 38 ·
2
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38

What's the use of subtangent and subnormal lines?

  • logan3
  • · Replies 1 ·
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Solving Maximisation Problem with Sections a, b, c

  • tomc612
  • · Replies 3 ·
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3

Finding the limit of ((5x+3)/(5x-1))^(2x) using L'Hôpital's rule

  • karush
  • · Replies 12 ·
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12

What is the difference in writing the range of values of a function

  • mathlearn
  • · Replies 3 ·
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3

Undergrad Different types of vector fields?

  • Hacca
  • · Replies 3 ·
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3

Rate of Change in Area of Triangle with Fixed Sides

  • karush
  • · Replies 2 ·
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Undergrad What is the difference between d/dx and d/d(x^2) in differentiation notation?

  • Belgium 12
  • · Replies 2 ·
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