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.
Undergrad Distance from the origin to the curve
  • · Replies 8 ·
Replies
8
Views
18K
Graduate Finding Volume of a Bounded Cylinder with Double Integral
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Can I Prove the Chain Rule with the Definition of a Total Differential?
  • · Replies 8 ·
Replies
8
Views
4K
Undergrad I with the following questions.
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Critical Points of f(x): -2x^3 + 39x^2 - 180x + 1
  • · Replies 6 ·
Replies
6
Views
2K
Graduate Proving Pn(x^2) as the 4n+2-nd Taylor Polynomial of sin(x^2) using Rn(x) Limits
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Is There a Real Solution for a^n+b^n=c^n as n Approaches Infinity?
  • · Replies 62 ·
3
Replies
62
Views
6K
High School Is there an easier approach for solving trigonometric identities?
  • · Replies 2 ·
Replies
2
Views
10K
Undergrad Limit of Sum as n Approaches Infinity: 1/n * sqrt(1-i^2/n^2) = 0
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Integrals of Rational Functions
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad How can I factor a quartic equation without a calculator for the AIME?
  • · Replies 14 ·
Replies
14
Views
5K
Undergrad Need help with maclaurin series question
  • · Replies 13 ·
Replies
13
Views
8K
Undergrad Can l'Hôpital's Rule Help Determine the Limit of an Improper Integral?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad How do I calculate an integral with a square root in the denominator?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Solving Integral with u=tan(x/2): Hints & Suggestions
  • · Replies 10 ·
Replies
10
Views
4K
Graduate Integral Test for \sum^{\infty}_{n=2} \frac{1}{n(ln\;n)^{2}} - 0.01
  • · Replies 8 ·
Replies
8
Views
9K
Undergrad Discovering Global Extrema for f(x,y)=sin(x) + cos(y) on [0,2π]x[0,2π]
  • · Replies 8 ·
Replies
8
Views
3K
High School The Mystery of the e Series: Uncovering Its Name
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad Throwing an Object to Reach the Top of the Washington Monument
  • · Replies 2 ·
Replies
2
Views
5K
Undergrad What is the limit of (e^x-1)/x as x approaches 0?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Proving Orthogonal Curves at Intersection Point
  • · Replies 6 ·
Replies
6
Views
10K
Undergrad Why Pick Delta as 1 in Limits of Functions?
  • · Replies 10 ·
Replies
10
Views
3K
High School Grr, deleted line in Newton's Method program
  • · Replies 20 ·
Replies
20
Views
9K
Undergrad What is the Best Way to Determine x Given y in a Sine Wave Algorithm?
  • · Replies 6 ·
Replies
6
Views
5K
Undergrad Help with change of variables please
  • · Replies 32 ·
2
Replies
32
Views
5K
High School Solución a Problema de Viga y Corredores
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad Solve Sequence Problem: (2n-1)/(3n^2 +1), n= 1,2,3,...
  • · Replies 3 ·
Replies
3
Views
2K
Who's done the most homework in shortest amount of time?
  • · Replies 21 ·
Replies
21
Views
4K
Undergrad How Many Centimeters of Wire Were Used Up? | Mu Alpha Theta Math Club Question"
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad How do you determine which denominators to multiply in integrating fractions?
  • · Replies 6 ·
Replies
6
Views
5K
Graduate Geom Series: Converge Radius 1, c Complex Num
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Differentiating tanh: Step-by-Step Guide
  • · Replies 3 ·
Replies
3
Views
8K
Undergrad Yet another interesting integral
  • · Replies 14 ·
Replies
14
Views
2K
Graduate Proving Hodge Decomposition Theorem for Compact Riemannian Manifolds
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Getting the Derivative of f(w) = ln[cos(w-1)]
  • · Replies 14 ·
Replies
14
Views
3K
Graduate Is the Interior of A Equal to the Interior of the Closure of A?
  • · Replies 3 ·
Replies
3
Views
13K
Undergrad How do you find the indefinite integral of xsinx
  • · Replies 8 ·
Replies
8
Views
26K
Undergrad Why Does Summation Not Converge?
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Is Advanced Calculus I Really That Challenging?
  • · Replies 9 ·
Replies
9
Views
10K
Undergrad Explain how you can use these powers to define 3^( sqrt of 2 )
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Integrate this without gauss theorem
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Can I Integrate e^[1 / (1 + t)] dt Numerically?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad What is the number e and how is it related to logarithms?
  • · Replies 2 ·
Replies
2
Views
2K
High School AP Calc: Finding Area of Polar Graphs without a Calculator
  • · Replies 16 ·
Replies
16
Views
14K
Graduate Is there a simpler way to write the cross product of curl?
  • · Replies 3 ·
Replies
3
Views
29K
Undergrad Double Integrals: Notation Question
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad Help with Integration Problem: \int \frac{\ x^2}{1+x^2} dx
  • · Replies 8 ·
Replies
8
Views
2K
Graduate How Do You Calculate Line Integrals and Center of Mass for Complex Shapes?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Implicit diff (2 var), error or what?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Problem on finding the second derivative.
  • · Replies 3 ·
Replies
3
Views
11K
Undergrad Calculating Volume of Solid Using Cylindrical Shell Method
  • · Replies 2 ·
Replies
2
Views
2K
High School Discovering Limits: Solving for x Approaching Zero from the Left
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Need help on this curve-sketching problem.
  • · Replies 2 ·
Replies
2
Views
4K
Undergrad Integrate (X/X+d)dX: Solve w/Substitution
  • · Replies 17 ·
Replies
17
Views
3K
Graduate Cylindrical and spherical coordinates
  • · Replies 2 ·
Replies
2
Views
4K
Graduate Integrate csc2x ln(tanx) dx: Solutions & Suggestions
  • · Replies 3 ·
Replies
3
Views
2K
High School Solve x & y in sqrt(x-1) + sqrt(y-2) = sqrt5
  • · Replies 6 ·
Replies
6
Views
2K
Graduate Compactness contradiction physics
  • · Replies 6 ·
Replies
6
Views
2K
Graduate Suppose in general a pair of functions
  • · Replies 5 ·
Replies
5
Views
2K
Graduate How to Obtain A or U from Inverse Nabla Functions?
  • · Replies 2 ·
Replies
2
Views
4K
Undergrad Paradoxical definition of the Derivative
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad F(x)={sinx for x<22/7 {mx+b for x>22/7
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Is There Only One Intersection Point on the y=2^2 Curve for the Tangent Line at P(x0, x0^2)?
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad How Do You Solve a Differential Equation for Wildlife Population Growth?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate When will D(n!) and D(D(n!)) reach a googol or googolplex?
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad Appropriate Change of Variables for integration
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Is the function continuous at x=2 in f(x)= (x^2-4)/(x-2)?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad What is the proof of riemann integral?
  • · Replies 44 ·
2
Replies
44
Views
18K
Undergrad Simpson's rule can solve cubics exactly
  • · Replies 5 ·
Replies
5
Views
6K
Undergrad How can I prove that vector c bisects the angle theta between vectors a and b?
  • · Replies 5 ·
Replies
5
Views
4K
Graduate Convergence of Harmonic Series with Omitted 9s in Denominator
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Find the derivative of the function.
  • · Replies 3 ·
Replies
3
Views
18K
Undergrad Someone with a math computer program
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Finding the limit of a function with e and ln
  • · Replies 4 ·
Replies
4
Views
13K
Graduate Numerical analisis and complex integrals
  • · Replies 5 ·
Replies
5
Views
4K
Undergrad Is the derivative equal to one over the derivative of the inverse?
  • · Replies 2 ·
Replies
2
Views
46K
Undergrad Calculating the exact value of an inverse
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad When to use Washer, Shell or Disk
  • · Replies 5 ·
Replies
5
Views
59K
Graduate What is the inverse of the integral transform in complex analysis?
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Is the Putnam Math Competition More Challenging Than Other Math Competitions?
  • · Replies 2 ·
Replies
2
Views
5K
Graduate Inverse Rotation Function Question
  • · Replies 16 ·
Replies
16
Views
2K
Graduate Calculate Integral of cos ax/sinh bx from 0 to infinity | Integration Question
  • · Replies 7 ·
Replies
7
Views
3K
High School Is x=0 Included in the Increasing or Decreasing Range of y=x^2?
  • · Replies 7 ·
Replies
7
Views
7K
Graduate Need some help with basic complex analysis (no proofs)
  • · Replies 8 ·
Replies
8
Views
3K
Graduate Help me understand this proof, so I can present it
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Sin(5r)/r Limit Evaluation: How to Handle 5 in the Equation
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad How is the Area of a Polar Curve Derived from a Riemann Sum?
  • · Replies 2 ·
Replies
2
Views
5K
Graduate How did ostrogradsky prove the divergence theorem?
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Is ln(-x) Defined for Negative Real Numbers?
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Can contour integration always be used to solve integrals?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Finding representations of antiderivatives without a closed form
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Does a subsequence only have to have some terms
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Convergence of Sequences in Bounded Sets: Is the Limit Always the Supremum?
  • · Replies 2 ·
Replies
2
Views
4K
Undergrad Simple analysis problem gone wrong
  • · Replies 9 ·
Replies
9
Views
2K
High School Why is the Derivative of e^x e^x?
  • · Replies 35 ·
2
Replies
35
Views
16K
Graduate Real Sequence As Rational Function in e^-jw
  • · Replies 1 ·
Replies
1
Views
5K
Undergrad How should I integrate this differential equation?
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad Integral Calculation Using Trig Substitutions
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Finding 'k' for Continuous f(x) at x=2
  • · Replies 3 ·
Replies
3
Views
5K
Undergrad Finding the integral of an unknown function
  • · Replies 6 ·
Replies
6
Views
11K