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 Sine Fourier series and coefficient of Fourier series
  • · Replies 9 ·
Replies
9
Views
9K
Graduate A formula for approximating ln(2) and sums of other alternating series
  • · Replies 1 ·
Replies
1
Views
2K
MHB Partial Fraction Decomposition of Complex Fractions
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Confusion regarding the dominated convergence theorem
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Problem on limits from chemistry
  • · Replies 9 ·
Replies
9
Views
3K
MHB Find the condition for equality to hold
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad How can I rearrange an equation for circular motion to solve for velocity?
  • · Replies 2 ·
Replies
2
Views
2K
High School What is meaning of pai decimal expansion
  • · Replies 1 ·
Replies
1
Views
2K
Graduate I'm confused about the consistency of partial derivatives
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Does Boundedness Affect the Radius of Convergence for Subtracted Power Series?
  • · Replies 5 ·
Replies
5
Views
4K
Graduate Is There a Problem with This Complex Integral Evaluation?
  • · Replies 3 ·
Replies
3
Views
9K
Graduate Calculating nth Derivative of e^ax cos(bx+c)
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Need help with a proof on closure
  • · Replies 9 ·
Replies
9
Views
3K
MHB Fun Puzzles: Test Your Math Skills!
  • · Replies 10 ·
Replies
10
Views
4K
Undergrad Drawing curves in Spherical coordinate
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Question on derivative of conjugate
  • · Replies 38 ·
2
Replies
38
Views
9K
High School What is the base-b expansion of a number and how is it calculated?
  • · Replies 2 ·
Replies
2
Views
6K
Undergrad How Does Differentiation Determine the Exact Slope of a Curve?
  • · Replies 12 ·
Replies
12
Views
3K
MHB Finding the Rate of Change of Water Level in a Filling Trough
  • · Replies 3 ·
Replies
3
Views
6K
Graduate How Can I Evaluate This Intriguing Integral in Analytic Number Theory?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Extending radius of convergence by analytic continuation
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Why is there a dx/dx in the Implicit Differentiation rule?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Quick Math Q: Evaluate (d^2)/(dxdy) ?
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Is U(n) Cyclic and How to Determine Its Generators?
  • · Replies 2 ·
Replies
2
Views
10K
MHB Find a Bounded, Decreasing $\displaystyle f(x)$
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Using L'hopital's rule in exponential function
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Question about derivative definition
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Need help evaulating a few limits
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Is there a formula for the square of an infinite sum?
  • · Replies 2 ·
Replies
2
Views
11K
Undergrad Improper integral of odd integrand
  • · Replies 8 ·
Replies
8
Views
3K
Graduate Solution of exp(lambda)*Gamma(0,lambda)
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Need some advice regarding apostol calculus volume 1
  • · Replies 2 ·
Replies
2
Views
4K
Undergrad Trig Identity for Arctan(a/b) with Rational Values?
  • · Replies 9 ·
Replies
9
Views
28K
Graduate Why Does My Calculation of the Gaussian Integral for x^4 Differ?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Can the existence of nonstandard hyperreal extensions be proved?
  • · Replies 7 ·
Replies
7
Views
4K
Graduate Can Special Functions Express This Complex Integral?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Solving Double Integral with Polar Coordinates
  • · Replies 1 ·
Replies
1
Views
2K
MHB SE BoardHow Can I Solve This Trigonometric Limit Problem?
  • · Replies 5 ·
Replies
5
Views
2K
MHB Give an example of a function f(x)
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Is there someway to find the exact area of a blob using integrals?
  • · Replies 3 ·
Replies
3
Views
4K
MHB Give an example of a function ....
  • · Replies 5 ·
Replies
5
Views
3K
Graduate What Type of Expansion is Used Here?
  • · Replies 4 ·
Replies
4
Views
2K
MHB Write f(x) in terms of the unit step function u(x)
  • · Replies 3 ·
Replies
3
Views
6K
Undergrad What is the topic full of inequalities of 1/(n+1) and integrals?
  • · Replies 1 ·
Replies
1
Views
2K
High School Integrating sine from 0 to pi: What does the graph show?
  • · Replies 8 ·
Replies
8
Views
3K
Graduate Limit involving dirac delta distributions
  • · Replies 3 ·
Replies
3
Views
2K
Graduate How can I simplify the second integral to make it less than ε?
  • · Replies 8 ·
Replies
8
Views
3K
MHB F(x) coincides with its inverse function
  • · Replies 1 ·
Replies
1
Views
5K
Undergrad Partial derivative of a single variable function
  • · Replies 2 ·
Replies
2
Views
3K
MHB How Can I Find the Limit of the Natural Log Function in the Form of a Question?
  • · Replies 7 ·
Replies
7
Views
7K
Graduate Can every set be contained in a measurable set differing by a null set?
  • · Replies 1 ·
Replies
1
Views
3K
Graduate E to an imaginary power, equivalent expressions, inequal outcomes?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Extrema in Several Variables: A different way?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Finding the limit of a recurrence equation.
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Why Is the Contour Integral Zero Despite the Pole?
  • · Replies 5 ·
Replies
5
Views
5K
Undergrad Rolles Theorem, showing two distinct points.
  • · Replies 3 ·
Replies
3
Views
2K
MHB Limit problem with exponents/logarithms
  • · Replies 5 ·
Replies
5
Views
4K
MHB How do I evaluate these tricky integrals?
  • · Replies 22 ·
Replies
22
Views
6K
Undergrad Using u-sub for inetgral(x^4sinxdx)
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad What is the meaning of gradient WRT a fixed point?
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Min eigenvalue of a perturbed matrix
  • · Replies 2 ·
Replies
2
Views
2K
MHB The Limit of (sinx+1)/(x) - 1 or Infinity?
  • · Replies 8 ·
Replies
8
Views
3K
Graduate Integration of functions of Complex Variables
  • · Replies 2 ·
Replies
2
Views
2K
MHB Analysis of Convergence for Series a) and b)
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Does 1/x approach 0 as x approaches infinity?
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Gradient vs. Directional Derivative
  • · Replies 12 ·
Replies
12
Views
5K
Graduate Why is integral of 1/z over unit circle not zero?
  • · Replies 22 ·
Replies
22
Views
12K
Graduate Can Weierstrass Substitution Solve This Definite Integral?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Integration by substitution (and esp. Weierstrass' substitution)
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Parametrize y = sin(x) with i^ j^ components
  • · Replies 4 ·
Replies
4
Views
8K
MHB Differentiation using first priciple
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad Small proof on monotonic functions
  • · Replies 12 ·
Replies
12
Views
3K
MHB Definite integral with four parameters
  • · Replies 2 ·
Replies
2
Views
2K
MHB What is the limit of (ln n)^n / [ln(n+1)]^(n+1) as n approaches infinity?
  • · Replies 12 ·
Replies
12
Views
4K
MHB Converting Summation Notation to Closed Form for Linear-Geometric Series
  • · Replies 9 ·
Replies
9
Views
15K
Undergrad Help with 1 step in proof of d/dx sin x = cos x
  • · Replies 4 ·
Replies
4
Views
3K
MHB Approaching Infinity - Finding the Limit of a Sequence
  • · Replies 7 ·
Replies
7
Views
3K
Graduate [Question] Limit and Integration
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Total Variation: \Delta f, \Delta x Explained
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Separating Variables in Integration
  • · Replies 3 ·
Replies
3
Views
3K
MHB Expanding Taylor Series to Get Approximate Answer
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Why z^(-1/2) cannot be expanded in Laurent series with center z=0?
  • · Replies 2 ·
Replies
2
Views
4K
High School Evaluating Limit for (x^3 + x + 2) / (x^4 -x +1) Tending Towards Infinity
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Does there exist a limit for calculating pi?
  • · Replies 10 ·
Replies
10
Views
20K
Undergrad Second Derivative of 3x^5 - 5x^3: Inflection Points
  • · Replies 4 ·
Replies
4
Views
2K
Graduate 2 particles in a 3d corkscrew over surface of a sphere
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad Definite integrals with -infinity low bound
  • · Replies 3 ·
Replies
3
Views
2K
MHB Can we prove that the integral of a logarithm function is integrable?
  • · Replies 4 ·
Replies
4
Views
3K
MHB Why is the Maclaurin series of $e^u$ simply $\sum\frac{u^n}{n!}$?
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Expanding in powers of 1/z (Laurent series)
  • · Replies 2 ·
Replies
2
Views
10K
MHB Application for Derivative of Inverse Functions?
  • · Replies 1 ·
Replies
1
Views
3K
MHB U-substitution, definite integral, trig function
  • · Replies 8 ·
Replies
8
Views
4K
Graduate Computing integrals on the half line
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Substitution Method on indefinite integral
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Mathematica partial differentiation weirdness
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Analytic continuation of an integral involving the mittag-leffler function
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Failure rate of a system at time 't'
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad About the chain rule what's wrong with me?
  • · Replies 5 ·
Replies
5
Views
2K
Is this solution right or not ? Need yr backing
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Partial Derivatives of Vectors and Gradients
  • · Replies 10 ·
Replies
10
Views
6K