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.

Sub-forums

Differential Equations

Mixed approximation vs. full approximation for a power series expansion
6.8K threads
Undergrad Mixed approximation vs. full approximation for a power series expansion
Undergrad How calcule this integral: x*e^x^2/e^x^2 + 1?
  • Father20
  • · Replies 7 ·
Replies
7
How to Find Max and Min Points for \(\frac{x^3}{2} - |1 - 4x|\) in \((0, 2)\)?
  • Petrus
  • · Replies 11 ·
Replies
11
Graduate Does being in C2 imply being in L2 for a function?
  • TaPaKaH
  • · Replies 3 ·
Replies
3
Graduate Can any one give me the derivation of this series
  • dexterdev
  • · Replies 5 ·
Replies
5
Graduate Zeta function for Debye Low Temp. Limit
  • phys_student1
  • · Replies 1 ·
Replies
1
Max/Min Point of $\ln(x)+x-2x^2$ in $(\frac{1}{6},\frac{3}{2})$ Calculation
  • Petrus
  • · Replies 16 ·
Replies
16
Graduate How to prove the value of this integral?
  • suchith
  • · Replies 3 ·
Replies
3
Undergrad Integral and a derivative definition
  • 71GA
  • · Replies 3 ·
Replies
3
Graduate Sine function as an infinite sequence
  • Appleton
  • · Replies 6 ·
Replies
6
Jacob's question at Yahoo Answers (Alternating series approximation)
  • Fernando Revilla
  • · Replies 1 ·
Replies
1
Susie's question at Yahoo Answers regarding minimizing a definite integral
  • MarkFL
  • · Replies 1 ·
Replies
1
How to Simplify the Derivative of $\frac{1+\ln(t)}{1-\ln(t)}$?
  • Petrus
  • · Replies 3 ·
Replies
3
High School Integral of odd or even functions?
  • xdrgnh
  • · Replies 4 ·
Replies
4
Undergrad Square in denominator of derivative
  • autobot.d
  • · Replies 4 ·
Replies
4
Graduate Divergence and Radially Symmetric Fields
  • hellsingfan
  • · Replies 3 ·
Replies
3
Graduate Elementary Function with Non-elementary Derivative
  • pierce15
  • · Replies 6 ·
Replies
6
Jason Z's question at Yahoo Answers (Maclaurin series cuestion)
  • Fernando Revilla
  • · Replies 1 ·
Replies
1
Sopheary dara mao's question at Yahoo Answers regarding kinematics
  • MarkFL
  • · Replies 1 ·
Replies
1
Undergrad Why Taylor Series works so well for some functions and not for others
  • s0ft
  • · Replies 3 ·
Replies
3
Undergrad Implicit differentiation in multiple variables
  • groovy958
  • · Replies 1 ·
Replies
1
Undergrad Area of an ellipse and similar problems
  • Gauss M.D.
  • · Replies 1 ·
Replies
1
Graduate Are There Closed Solutions for Integrals Involving Elliptic Functions?
  • s0ft
  • · Replies 1 ·
Replies
1
Double integral of general region
  • skate_nerd
  • · Replies 8 ·
Replies
8
USCTrojanTennis' question at Yahoo Answers regarding optimization
  • MarkFL
  • · Replies 1 ·
Replies
1
What is the limit of the y-intercept as P approaches O on a given parabola?
  • soroban
  • · Replies 1 ·
Replies
1
Expanding f(x) in a Fourier Series to Prove $\frac{\pi^2}{8}$
  • Suvadip
  • · Replies 2 ·
Replies
2
Graduate Vector Potential and Zero Divergence
  • hellsingfan
  • · Replies 3 ·
Replies
3
Finding centre of mass of a semicircular lamina
  • candy1
  • · Replies 5 ·
Replies
5
Derivative of Constant: Proving f(x) is Constant
  • Suvadip
  • · Replies 3 ·
Replies
3
Undergrad Why do gradient show rate of maximum increase ?
  • avinashj
  • · Replies 4 ·
Replies
4
Graduate Transformations of Double Integrals with Rectangular Domains in the 1st Quadrant
  • eyesontheball1
  • · Replies 2 ·
Replies
2
Undergrad Evaluating integral from -∞ to ∞
  • wahaj
  • · Replies 5 ·
Replies
5
Graduate Definite integral with variable limits of a multivariable function.
  • crocomut
  • · Replies 4 ·
Replies
4
Integrals: Show $\alpha$ Not Int Multiple of $\pi$ and $s, \lambda >0$
  • polygamma
  • · Replies 8 ·
Replies
8
Hair Canada's question at Yahoo Answers (Constant series)
  • Fernando Revilla
  • · Replies 1 ·
Replies
1
Evaluating a double integral in polar coordinates
  • skate_nerd
  • · Replies 3 ·
Replies
3
Graduate How to Integrate 1/sinh^2(x/2)?
  • Belgium 12
  • · Replies 1 ·
Replies
1
Patrick's question at Yahoo Answers (First fundamental theorem of Calculus)
  • Fernando Revilla
  • · Replies 1 ·
Replies
1
Gabrielle's question at Yahoo Answers regarding related rates
  • MarkFL
  • · Replies 1 ·
Replies
1
Graduate Is the Integral of 1/sinh^2(x/2) a Principal Value Integral?
  • Belgium 12
  • · Replies 3 ·
Replies
3
Graduate Differentiating an Inner Product
  • Parmenides
  • · Replies 8 ·
Replies
8
Undergrad Subscripts in partial derivative notation
  • chans
  • · Replies 3 ·
Replies
3
Graduate Expanding Bilinear Map Power Series with Matrix/Vector Input
  • unchained1978
  • · Replies 5 ·
Replies
5
Graduate How to do functional derivatives
  • leroyjenkens
  • · Replies 1 ·
Replies
1
How to Prove the Inequality of the Sequence T_n?
  • Albert1
  • · Replies 4 ·
Replies
4
Undergrad Proving Eiθ = cos θ + i sen θ: A Scientific Exploration
  • eljota38
  • · Replies 3 ·
Replies
3
Undergrad Largest Number in (0,1)? PF's Take
  • JCienfuegos
  • · Replies 5 ·
Replies
5
Estefano's question at Yahoo Answers involving a linear approximation
  • MarkFL
  • · Replies 1 ·
Replies
1
Mr.Ask's question at Yahoo Answers (Two variables, domain and range)
  • Fernando Revilla
  • · Replies 1 ·
Replies
1
What is integration of y/(x^2-y^2) dx
  • r-soy
  • · Replies 12 ·
Replies
12
Graduate Exhaustion Methods Explained: Sum of Areas of Outer & Inner Rectangles
  • andrewkg
  • · Replies 3 ·
Replies
3
The_owner's question at Yahoo Answers (Convergence of an integral)
  • Fernando Revilla
  • · Replies 3 ·
Replies
3
NICK's question at Yahoo Answers regarding a solid of revolution
  • MarkFL
  • · Replies 1 ·
Replies
1
Undergrad Can't Seem to Solve Alpha: Find the Limit
  • SherlockOhms
  • · Replies 2 ·
Replies
2
Find the finite sum of the square and cube exponent of integers
  • Amer
  • · Replies 3 ·
Replies
3
Graduate Confusion regarding a proof for an infinite limit property.
  • InaudibleTree
  • · Replies 2 ·
Replies
2
Fourier Series Involving Hyperbolic Functions
  • aNxello
  • · Replies 13 ·
Replies
13
Undergrad Applying Integral Test: Why did they integrate from 1 to ∞ instead of
  • InvalidID
  • · Replies 1 ·
Replies
1
Differentiating exponential functions
  • Petrus
  • · Replies 25 ·
Replies
25
How Can You Prove Standard Limits Without Using L'Hopital's Rule?
  • TheAvenger1
  • · Replies 7 ·
Replies
7
Jenny's question at Yahoo Answers (Convergence of a series)
  • Fernando Revilla
  • · Replies 1 ·
Replies
1
High School Nth term of alternating series with two positive terms at beginning
  • greg9381
  • · Replies 3 ·
Replies
3
Undergrad Confusion regarding delta definition of limit
  • f24u7
  • · Replies 1 ·
Replies
1
Graduate How to Calculate the Center of Mass for a Rotational Body Using Integration?
  • Pir
  • · Replies 8 ·
Replies
8
Undergrad Why Is PQ Approximated as rΔθ in Small Angles?
  • autodidude
  • · Replies 3 ·
Replies
3
Undergrad Partial Dervative of a Integral
  • Victor8108
  • · Replies 3 ·
Replies
3
Danielle's question at Yahoo Answers regarding optimization
  • MarkFL
  • · Replies 1 ·
Replies
1
Lagrange multipliers for extreme values
  • skate_nerd
  • · Replies 3 ·
Replies
3
Graduate Does Vector Calculus Allow Operators to Function Like Vectors?
  • henpen
  • · Replies 3 ·
Replies
3
Graduate Very hard modelling and problem solving Calculus Question
  • LBrenda16
  • · Replies 4 ·
Replies
4
Graduate Optimizing Limits of Integration for Change of Variables
  • eyesontheball1
  • · Replies 1 ·
Replies
1
Graduate F(x,y,z) Symmetry in Scalar Function g: Counterexample or Confirmation?
  • hauho195
  • · Replies 1 ·
Replies
1
Is Splitting Integrals Necessary When Rotating Around the Y-Axis?
  • bmanmcfly
  • · Replies 3 ·
Replies
3
Graduate A statement equivalent to the definition of limits at infinity?
  • phoenixthoth
  • · Replies 2 ·
Replies
2
Undergrad Is the integral of zero always zero?
  • Theodore260
  • · Replies 15 ·
Replies
15
Undergrad Series convergence vs. divergence
  • pierce15
  • · Replies 3 ·
Replies
3
What is integration of 1/(x^2-y^2) dx
  • r-soy
  • · Replies 4 ·
Replies
4
Solving Integration Problem: y^2=\frac{x^2-4}{4}
  • bmanmcfly
  • · Replies 2 ·
Replies
2
Undergrad Symbol for partial derivative not used for partial integrals?
  • MostlyHarmless
  • · Replies 27 ·
Replies
27
Is the chain rule necessary for finding the derivative of r/sqrt(r^2+1)?
  • Petrus
  • · Replies 8 ·
Replies
8
LP_Rocks' question at Yahoo Answers regarding an indefinite integral
  • MarkFL
  • · Replies 1 ·
Replies
1
Myles's question at Yahoo Answers (Domain and range)
  • Fernando Revilla
  • · Replies 2 ·
Replies
2
Graduate Disjoint intervals for Riemann Integral
  • sammycaps
  • · Replies 2 ·
Replies
2
Undergrad Stock Market Integration & Disaster
  • Vodkacannon
  • · Replies 2 ·
Replies
2
Graduate Weird theorem on critical points for multivariable functions
  • Nikitin
  • · Replies 4 ·
Replies
4
Undergrad Differential = continuity theorem
  • jimmyly
  • · Replies 13 ·
Replies
13
Graduate Surface Area of a Sphere in Spherical Coordinates; Concentric Rings
  • AmagicalFishy
  • · Replies 5 ·
Replies
5
Undergrad Calculating Volume With Center of Mass
  • iRaid
  • · Replies 5 ·
Replies
5
Undergrad Partial derivatives in scientific analysis
  • mearvk
  • · Replies 2 ·
Replies
2
Undergrad Cross Products Verifying Third Vector Orthoginality?
  • adriandevera
  • · Replies 4 ·
Replies
4
Graduate Multi Variable Optimization Problem
  • geetar_king
  • · Replies 2 ·
Replies
2
Lazi's question at Yahoo Answers regarding the area bounded by two functions
  • MarkFL
  • · Replies 1 ·
Replies
1
Limit of Ratio of Difference of Trig Functions at $\pi/4$
  • Petrus
  • · Replies 4 ·
Replies
4
Can You Simplify This Trigonometric Integral?
  • Dustinsfl
  • · Replies 1 ·
Replies
1
Undergrad Question about why ln(e^x) =/= x
  • physicsernaw
  • · Replies 3 ·
Replies
3
Graduate Can the Beta Function be Extended to Real Powers?
  • FeDeX_LaTeX
  • · Replies 4 ·
Replies
4
Solving $\frac{\sin(x-1)}{x^2+x-2}$ Without L'Hopital's Rule
  • Petrus
  • · Replies 14 ·
Replies
14
Help with Solving Limit of Cosine and Sine
  • Petrus
  • · Replies 25 ·
Replies
25
Graduate Fourier transform frequency resolution
  • Wox
  • · Replies 5 ·
Replies
5
Undergrad Is there any meaning to higher order derivatives?
  • runningninja
  • · Replies 2 ·
Replies
2