Calculus Forum

Post thread
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.
MHB Convergence of integral for $0 \le a <1$
  • · Replies 1 ·
Replies
1
Views
2K
MHB Is the Integral of (x-2)^3 from 0 to 4 Undefined?
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad Newton and Leibniz approach to differentiation
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Testing Algorithm for Global Minima of Test Functions
  • · Replies 1 ·
Replies
1
Views
2K
MHB Tangent equation for two points.
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Extremly long Definite triple integral
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Solving Improper Integral: \int_0^{\infty}\frac{1}{x(1+x^2)}
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Why L' Hospital's rule cannot apply directly for sequence
  • · Replies 3 ·
Replies
3
Views
5K
Undergrad Quick question about exponential and logarithms
  • · Replies 3 ·
Replies
3
Views
1K
MHB Finding the Length of TN on a Tangent of the Curve y = x^2
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Analytically Solving Complex Expressions with Wolfram Alpha
  • · Replies 6 ·
Replies
6
Views
2K
MHB Area finite region bounded by the curves
  • · Replies 2 ·
Replies
2
Views
4K
MHB Lagrange Multipliers: Find Extrema of f(x,y)=x^2y
  • · Replies 6 ·
Replies
6
Views
3K
MHB Find Tangent Line w/ Definite Integral - Amy's Question
  • · Replies 1 ·
Replies
1
Views
4K
MHB GWR309's question at Yahoo Answers regarding Lagrange multipliers
  • · Replies 5 ·
Replies
5
Views
2K
MHB How to differentiate absolute value of multivariable function?
  • · Replies 11 ·
Replies
11
Views
3K
MHB How Can Rocket Fuel Expulsion Maximize a Car's Kinetic Energy?
  • · Replies 12 ·
Replies
12
Views
3K
MHB Calc Help: Find Derivative & Understand Why Answer Wrong
  • · Replies 10 ·
Replies
10
Views
4K
Undergrad Proving/deriving first fundamental theorem of calc
  • · Replies 6 ·
Replies
6
Views
2K
MHB Numerical Integration Scheme: Interpolating Polynomials Explained
  • · Replies 1 ·
Replies
1
Views
2K
MHB Integrate Sine and Square root Composite Function
  • · Replies 4 ·
Replies
4
Views
3K
MHB Calculus Rhapsody in the style of Bohemian Rhapsody - A must see
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad When we take a differential area dxdy do we assume that dy=dx?
  • · Replies 7 ·
Replies
7
Views
3K
Graduate Calculus of variations for known derivative on both extremes
  • · Replies 5 ·
Replies
5
Views
2K
MHB SW1986's question at Yahoo Answers regarding a solid of revolution
  • · Replies 1 ·
Replies
1
Views
2K
MHB Marissa043's question on another forum regarding a Cesàro limit
  • · Replies 1 ·
Replies
1
Views
2K
MHB Solutions for arcsin(x) + arcsin(k) = π/2
  • · Replies 5 ·
Replies
5
Views
3K
MHB Johnathan's question at Yahoo Answers (Power series representation)
  • · Replies 1 ·
Replies
1
Views
2K
MHB Kendra N's question at Yahoo Answers regarding work done to empty a conical tank
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Asymptotic behavior of a power series near its branch point
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Limit of the Euler totient function
  • · Replies 4 ·
Replies
4
Views
4K
MHB Another Limit, without L'hospital rule
  • · Replies 6 ·
Replies
6
Views
2K
Graduate Changing the order of different kinds of sums
  • · Replies 2 ·
Replies
2
Views
1K
MHB Joanne 's question at Yahoo Answers (Interval of convergence)
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Proving complex exponentials are orthogonal.
  • · Replies 2 ·
Replies
2
Views
10K
Graduate Confused about Vector Calculus Curvature Formulas? Let's Clear Things Up!
  • · Replies 3 ·
Replies
3
Views
2K
Graduate What is the role of the curly d operator in defining topological boundaries?
  • · Replies 1 ·
Replies
1
Views
2K
MHB How Can I Prove that the Real Root of a Given Polynomial Equals 3?
  • · Replies 17 ·
Replies
17
Views
4K
Undergrad Using Curl to determine existence of Potential Function
  • · Replies 3 ·
Replies
3
Views
4K
MHB Implicit surface area, sphere cut by two plane
  • · Replies 2 ·
Replies
2
Views
4K
MHB Can Different Parameterizations Yield the Same Line Integral Value?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Josh's question at Yahoo Answers regarding implicit differentiation
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Sphere surface area and radius
  • · Replies 10 ·
Replies
10
Views
4K
MHB Integral Calculus Help Needed: \iiint_T\sqrt{x^2+y^2}z^4e^{z^4}dx\ dy\ dz
  • · Replies 3 ·
Replies
3
Views
2K
MHB Nick's question at Yahoo Answers (Maclaurin series)
  • · Replies 1 ·
Replies
1
Views
2K
MHB Zhina's question at Yahoo Answers regarding optimization subject to constraint
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Integrating with Imaginary Numbers: A Closer Look at Trig Substitutions
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Relating to period of a function.
  • · Replies 6 ·
Replies
6
Views
1K
MHB How Can I Solve This Limit Without L'Hospital's Rule?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Integrating directly from a pair of diff.eqs. without solving them
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad How to determine all points of intersection in a polar coordinate
  • · Replies 2 ·
Replies
2
Views
7K
Graduate How can I calculate the integral for 1/r grad 1/r?
  • · Replies 2 ·
Replies
2
Views
3K
MHB Definite integral involving the natural log function
  • · Replies 5 ·
Replies
5
Views
7K
MHB What is the area between two curves given by y=2x^2+10 and y=4x+16?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Approximate Integral Using Midpoint Rule
  • · Replies 1 ·
Replies
1
Views
2K
MHB Calculus Spotlight Angle Question
  • · Replies 21 ·
Replies
21
Views
4K
Graduate Functions having the same integral are equal
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Is there a way to determine if an integral exists for a non-elementary function?
  • · Replies 7 ·
Replies
7
Views
4K
Undergrad Limit Calculation for Radical Functions
  • · Replies 9 ·
Replies
9
Views
3K
MHB Fundamental Theorem of Calculus Questions
  • · Replies 6 ·
Replies
6
Views
2K
MHB What is the Relationship Between Pressure and Volume in the Ideal Gas Law?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Don's question at Yahoo Answers (Taylor series)
  • · Replies 1 ·
Replies
1
Views
2K
MHB Ahmed's Calculus Parallel Resistors Q: Rate of Change Help
  • · Replies 2 ·
Replies
2
Views
6K
MHB Coordinate transformation derivatives
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad Taylor's formula for two variables
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Total derivative to partial derivative by division? (Calc./Thermo.)
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad Divergent Series: Finding the Largest Value of n
  • · Replies 1 ·
Replies
1
Views
2K
MHB Michael h's question at Yahoo Answers (Sum of a series)
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Proof of limit derivation of Natural Logrithm
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Why does the lim Δx →0 change the ≈ to =?
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad Fourier Series: Can even functions be changed to odd?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate How Can These Two Integral Identities Be Proven?
  • · Replies 4 ·
Replies
4
Views
2K
MHB Joey e's questions at Yahoo Answers regarding solids of revolution
  • · Replies 1 ·
Replies
1
Views
2K
Graduate What is the Error in Calculating the Integral of Dot Product?
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Volume of a sphere by circle-areas
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Calculating flux through a surface area
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Help with Gradient-related concepts
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Octagonal Cross Section with Parabolically Increasing Span
  • · Replies 6 ·
Replies
6
Views
3K
MHB Calc 1: Area Bounded by 2 Functions | Yahoo Answers
  • · Replies 1 ·
Replies
1
Views
2K
MHB Calculating the Value of (1+i)^56
  • · Replies 18 ·
Replies
18
Views
3K
Undergrad Volume beneath a two-dimensional polynomial
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Is Stokes' Theorem Intuitively Satisfying and Accurate?
  • · Replies 3 ·
Replies
3
Views
3K
MHB A relatively simple integral problem....
  • · Replies 7 ·
Replies
7
Views
2K
Graduate Question on limits and little-o notation
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Integrals with Common Fractions and Area Under Graph
  • · Replies 10 ·
Replies
10
Views
2K
Graduate Integral of a function gives me acrtan(2cot(x)). How to evaluate this?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad How Does Binomial Expansion Help Define e Using Limits?
  • · Replies 5 ·
Replies
5
Views
2K
MHB Is there any easy trick for solving this integral?
  • · Replies 12 ·
Replies
12
Views
7K
High School Implicit Differentiation Question - Stuck
  • · Replies 3 ·
Replies
3
Views
1K
MHB Interesting ways to evaluate integrals
  • · Replies 1 ·
Replies
1
Views
2K
MHB Finding potential function for field F
  • · Replies 2 ·
Replies
2
Views
2K
MHB How to Solve These Challenging Integrals with Square Roots?
  • · Replies 6 ·
Replies
6
Views
2K
MHB Simplifying the Summation Identity Using Complex Numbers
  • · Replies 1 ·
Replies
1
Views
3K
MHB Maximum Area of a Triangle Using Double Derivative
  • · Replies 2 ·
Replies
2
Views
2K
MHB Simple Substituting and Rearranging
  • · Replies 6 ·
Replies
6
Views
2K
MHB An approximated lower bound of an expression.
  • · Replies 3 ·
Replies
3
Views
2K
MHB Is This Use of Logarithmic Rules Correct in Solving for x?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Which tests should I use for convergence?
  • · Replies 5 ·
Replies
5
Views
3K
MHB Flowerchild1993's question at Yahoo Answers regarding minimizing cost of fence
  • · Replies 1 ·
Replies
1
Views
2K
MHB Lim x 1/x as x→0 - Yahoo! Answers
  • · Replies 1 ·
Replies
1
Views
2K