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 How Do You Solve Advanced Calculus Review Questions?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Is There a Simple Solution for This Integral?
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Definite Integral of 1/x from 0 to 1
  • · Replies 10 ·
Replies
10
Views
18K
Undergrad Direction of the maximum gradient (scalar fields)
  • · Replies 1 ·
Replies
1
Views
2K
Graduate How do I accurately compute a definite integral with a branch point?
  • · Replies 17 ·
Replies
17
Views
2K
MHB Find the limit as x approaches negative infinity....
  • · Replies 12 ·
Replies
12
Views
3K
MHB Does this problem warrant a taylor expansion? (solid state physics)
  • · Replies 1 ·
Replies
1
Views
2K
Graduate The derivative of an analytic function
  • · Replies 2 ·
Replies
2
Views
1K
MHB Find the values of a and b so the function is continuous everywhere.
  • · Replies 2 ·
Replies
2
Views
2K
Graduate What is the Second Step in Feynman's Deduction of the Sound Wave Equation?
  • · Replies 2 ·
Replies
2
Views
1K
Graduate Question of "min" function from Spivak
  • · Replies 19 ·
Replies
19
Views
2K
MHB Can you help me solve this tricky integral involving arctanx?
  • · Replies 4 ·
Replies
4
Views
2K
MHB How can I continue, in order to find the limit?
  • · Replies 25 ·
Replies
25
Views
5K
Graduate Help me to demonstrate and explain: Vrs=r∇s+s∇r and ∇.sv=(VS.v)+s(∇.v)
  • · Replies 2 ·
Replies
2
Views
1K
Graduate Expanding Cube Roots: Solving Limits with Maclaurin Series
  • · Replies 2 ·
Replies
2
Views
3K
MHB Area Inside Circle x^2+y^2=a^2 Above b=7
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Definition of a Limit: Subtle Differences
  • · Replies 2 ·
Replies
2
Views
1K
MHB Does the Multivariable Limit of xy^8/(x^3+y^12) Exist?
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Why are these 2 expressions equal?
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Monotonicity of the ratio of two power series
  • · Replies 4 ·
Replies
4
Views
1K
Graduate Numerical integration of a function specified numerically
  • · Replies 1 ·
Replies
1
Views
1K
MHB Computing the Limit of a Power Series
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Is $\lim_{\Delta x \to 0}f(x+\Delta x) \cdot \Delta x = 0$ True?
  • · Replies 5 ·
Replies
5
Views
1K
Undergrad Understand Squeeze Theorem: Less/Greater than Other Function?
  • · Replies 9 ·
Replies
9
Views
8K
MHB Why does integral of 1/x have absolute value?
  • · Replies 4 ·
Replies
4
Views
11K
Graduate Functionals and calculus of variations
  • · Replies 28 ·
Replies
28
Views
3K
MHB How can I simplify this limit to infinity problem?
  • · Replies 4 ·
Replies
4
Views
2K
MHB Solving Limit for Horizontal Asymtotes
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Why Does the k Term Change in Taylor Series?
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad What Defines a Line as an Asymptote?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Simple divergence theorem questions
  • · Replies 5 ·
Replies
5
Views
2K
MHB Proving inequality using Mean Value Theorem
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Integrating ##d\psi=(x+y)dx +x_0dy##
  • · Replies 9 ·
Replies
9
Views
2K
MHB Solving Limits with Delta-Epsilon Proofs
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Difference between Scalar and Vectorial fields ?
  • · Replies 2 ·
Replies
2
Views
5K
Graduate How to Calculate Error in Fourier Series and its Approximation of Angles?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Line integral around a circle, using polar coordinates
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Integrating sin(x)*cos(x) paradox
  • · Replies 3 ·
Replies
3
Views
2K
MHB Rate of change when filling container
  • · Replies 14 ·
Replies
14
Views
4K
MHB Evaluating Integral of $x(tan^{-1}(x))^2$
  • · Replies 4 ·
Replies
4
Views
1K
MHB Derivative of 4/sqrt{x}: Step-by-Step Guide
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Lagrange multipliers: How do I know if its a max of min
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Integrals in Electricity & Magnetism: What is the Difference?
  • · Replies 2 ·
Replies
2
Views
1K
Graduate What is the difference between a sphere and a ball?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Mathematical help in understanding this integral (Dirac formulation)
  • · Replies 2 ·
Replies
2
Views
1K
MHB Recovering PMF from characteristic equation
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Heat Flux Calculation: August-February Net Loss
  • · Replies 1 ·
Replies
1
Views
1K
MHB Derivative of sec(tan(2/x)) - 65 Characters
  • · Replies 15 ·
Replies
15
Views
4K
Undergrad What is the Simplification of the Last Term in Differentiation?
  • · Replies 3 ·
Replies
3
Views
1K
Graduate Sufficient condition for bounded Fourier transform
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Cartesian unit vectors expressed by Cylindrical unit vectors
  • · Replies 2 ·
Replies
2
Views
2K
MHB Help with an integral (substitution method)
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Divergence theorem for a non-closed surface?
  • · Replies 3 ·
Replies
3
Views
5K
Graduate Solving cos ax/sin pi*x: Fourier Series Approach
  • · Replies 9 ·
Replies
9
Views
2K
Graduate What is the vector perpendicular to the surface given by z = Ax + By + C?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Minimum Value of F(x): Does It Have a Maximum?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Drawing Contour Maps: Level Curves of $f(x,y)=(y-2x)^2$
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad How to Handle Integral with dx Inside the Function?
  • · Replies 10 ·
Replies
10
Views
3K
Graduate Express Langrange constraint that an expression*cannot* equal a value
  • · Replies 2 ·
Replies
2
Views
1K
Graduate How is the Chain Rule Applied to Composite Functions of Two Variables?
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad Continuous function and definition
  • · Replies 1 ·
Replies
1
Views
1K
MHB Calculate Integral $\int_{0}^{1}x^{2014}\cdot \left(1-x\right)^{2014}dx$
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Help: Volume Fluxes and Associated Velocities
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Definite integrals with trig issues
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Closed-Form Solution for f(A,B) Equation
  • · Replies 3 ·
Replies
3
Views
1K
Graduate Finding Shortest Distance between two 3d Parametrized Curves
  • · Replies 6 ·
Replies
6
Views
6K
Graduate A property of meromorphic functions (?)
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Is Integration by Parts Incorrect for ∫(x2 + 7x) cosx dx?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Calculating Volume of Ellipsoidal Propane Tanks
  • · Replies 3 ·
Replies
3
Views
4K
MHB What is the role of $$\hat{\jmath} \times r$$ in computing vorticity?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Why Are These Lines Perpendicular?
  • · Replies 3 ·
Replies
3
Views
1K
MHB What is the Mystery Behind the Extra 1/2 in This Integration?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Probability Question_cutting one into two .
  • · Replies 2 ·
Replies
2
Views
967
Graduate Infinite Sum of Powers: Is There a Closed Form for the Series?
  • · Replies 5 ·
Replies
5
Views
2K
MHB Maximizing a Complex Function: Solving the Optimization Challenge II
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad DTFT of x(n)*(-1)^n: Effect & Transform Explained
  • · Replies 1 ·
Replies
1
Views
2K
MHB Elementary proof of generalized power mean inequality
  • · Replies 2 ·
Replies
2
Views
3K
MHB Integral involving fractional part.
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Volumes of Irregular Shapes by Integration
  • · Replies 3 ·
Replies
3
Views
10K
MHB Finding the Integral of $||x||$ from 0 to 100
  • · Replies 6 ·
Replies
6
Views
1K
MHB Finding limit of a funciton with square roots.
  • · Replies 3 ·
Replies
3
Views
2K
MHB Understanding Limit Notation & Symbols: L & <=>
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Why does differentiation find the approximate value?
  • · Replies 9 ·
Replies
9
Views
2K
MHB Continuity of piecewise function of two variables
  • · Replies 1 ·
Replies
1
Views
2K
MHB Finding domain of a function with square root in bottom of fraction\infty
  • · Replies 3 ·
Replies
3
Views
3K
MHB Working on evaluating an 'e' equation to find the domain of an equation
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Integrate Polynomial f(x^2): Reduce Sampling Points to N/2?
  • · Replies 2 ·
Replies
2
Views
1K
Graduate Can factorials be integrated in this equation?
  • · Replies 3 ·
Replies
3
Views
2K
MHB How Do We Prove the Limit of 1/x as x Approaches 2?
  • · Replies 1 ·
Replies
1
Views
12K
Graduate Confusion with integration of sums
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad The Chain Rule and Function Composition
  • · Replies 13 ·
Replies
13
Views
2K
Undergrad What is the Limit of 3+dx? Understanding Limits in Calculus
  • · Replies 10 ·
Replies
10
Views
2K
Graduate Tricky DeltaFunction integration
  • · Replies 4 ·
Replies
4
Views
2K
MHB Simplifying the Difference Quotient for f(x) = 1/x
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Is proving details in calculus important?
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Partial derivative properties rule
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Path Independence: My Book vs Reality
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Definition & Proving Differentiability: A Function f at a Point a
  • · Replies 2 ·
Replies
2
Views
1K
MHB Area under the curve of a projectile
  • · Replies 4 ·
Replies
4
Views
5K
Undergrad Trying to cut a parabolic shape in sheet metal
  • · Replies 3 ·
Replies
3
Views
3K