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
Graduate Solving an Integral involving a probability density function
  • Ad VanderVen
  • · Replies 16 ·
Replies
16
High School How to Find the Intersection of a Logarithmic Curve and a Tangent Line?
  • AngleWyrm
  • · Replies 14 ·
Replies
14
Graph of $y=\sin{x}-2$ on the domain $[0,2\pi]$
  • karush
  • · Replies 2 ·
Replies
2
7.1.17 int e^{-\dfrac{x^2}{2}} dx from 0 to infty
  • karush
  • · Replies 3 ·
Replies
3
How to solve the integral of 1+tanx using partial fraction decomposition?
  • Lorena_Santoro
  • · Replies 2 ·
Replies
2
Undergrad Error bounds for Newton's Method
  • mcastillo356
  • · Replies 13 ·
Replies
13
Undergrad What does "the sequence of functions has limit in R" mean?
  • cbarker1
  • · Replies 1 ·
Replies
1
How to Evaluate the Integral of an Even Trig Function in a Radical?
  • karush
  • · Replies 9 ·
Replies
9
Why is the derivative of |x| not defined at x=0?
  • Purplepixie
  • · Replies 6 ·
Replies
6
Is It an $\arctan$, $\arccot$, or Something Else in This Integral Solution?
  • Lorena_Santoro
  • · Replies 4 ·
Replies
4
Graduate Help with simplifying an integral
  • TroyElliott
  • · Replies 6 ·
Replies
6
What's the best strategy to solving this Integral in 3 minutes?
  • Lorena_Santoro
  • · Replies 4 ·
Replies
4
Undergrad Limits confusion -- What is meant by "instantaneous rate of change"?
  • DumpmeAdrenaline
  • · Replies 18 ·
Replies
18
Undergrad A question about limits and infinity
  • 0kelvin
  • · Replies 7 ·
Replies
7
-7.8.1 Amp, Period, PS, VS of 3cos(\pi x-2)+5
  • karush
  • · Replies 5 ·
Replies
5
Undergrad Why is the absolute value of sinx used in the integral of cotx?
  • Vividly
  • · Replies 1 ·
Replies
1
Graduate Finding a vector from the curl of a vector
  • user1139
  • · Replies 11 ·
Replies
11
You have only 3 minutes for a better solution to this integral
  • Lorena_Santoro
  • · Replies 2 ·
Replies
2
6.2.25 Evaluate Limit of x to infty
  • karush
  • · Replies 3 ·
Replies
3
Undergrad What is the ambiguity in forming new functions?
  • DumpmeAdrenaline
  • · Replies 28 ·
Replies
28
Undergrad Moving the graph to the right -- What do you think?
  • 0kelvin
  • · Replies 3 ·
Replies
3
Graduate The ``kinematic equation'' of fluid flows
  • hunt_mat
  • · Replies 13 ·
Replies
13
Find Limit in 2 Mins - Tricks & Tips
  • Lorena_Santoro
  • · Replies 2 ·
Replies
2
Can this project revolutionize surfing?
  • karush
  • · Replies 8 ·
Replies
8
Undergrad Inverse Functions: x=f(y) and X=f^-1(y)
  • DumpmeAdrenaline
  • · Replies 4 ·
Replies
4
Undergrad Are Functions Really Equal? Investigating the Criteria for Function Equality
  • DumpmeAdrenaline
  • · Replies 7 ·
Replies
7
-6.r.10 evaluate int with u v subst
  • karush
  • · Replies 2 ·
Replies
2
Undergrad Why does the integral of sine of x^2 from - infinity to + infinity diverge?
  • jaumzaum
  • · Replies 4 ·
Replies
4
-w8.7.28 integral rational expression
  • karush
  • · Replies 7 ·
Replies
7
-w8.3.11 int sqrt{x} dx sqrt{1-x}
  • karush
  • · Replies 3 ·
Replies
3
8.2.5.evaluate int 64x sec^2(4x) dx
  • karush
  • · Replies 5 ·
Replies
5
High School What's the difference between d, d/dx and dx?
  • Jason Ko
  • · Replies 3 ·
Replies
3
Undergrad Definition of order of a partial differential equation
  • Kashmir
  • · Replies 3 ·
Replies
3
Derivative of f(x), g(x) and h(x) from Calculus Problem A.1: Solve Urgent"
  • sfvdsc
  • · Replies 5 ·
Replies
5
Calculating Total Area Under a Trapezoidal Curve for Water Tank Fill Time
  • sophbell
  • · Replies 3 ·
Replies
3
Undergrad Is dy/dx Truly Not a Ratio Even When Defined via Limits?
  • Buffu
  • · Replies 28 ·
Replies
28
High School How to Visualize 3D Surfaces for a PVT Diagram
  • benorin
  • · Replies 3 ·
Replies
3
High School I want this short proof of the Bolzano-Weierstrass Theorem checked please
  • Eclair_de_XII
  • · Replies 8 ·
Replies
8
High School Another proof of the existence of extreme values on open intervals
  • mcastillo356
  • · Replies 9 ·
Replies
9
High School Proving half of the Heine-Borel theorem
  • Eclair_de_XII
  • · Replies 3 ·
Replies
3
Finding roots of this particular polynomial
  • JackDaniel87
  • · Replies 4 ·
Replies
4
Is This Variant of the Navier-Stokes Equation Solvable?
  • mrlukey
  • · Replies 2 ·
Replies
2
Solve Calculus Problem: Answers to d, e, f in Math Paper
  • sfvdsc
  • · Replies 3 ·
Replies
3
Undergrad How to Bound a Fraction Involving Sine Functions?
  • Peter_Newman
  • · Replies 24 ·
Replies
24
Undergrad Limit of limits of linear combinations of indicator functions
  • Unconscious
  • · Replies 3 ·
Replies
3
Undergrad Volume of Solid of Revolution (About the line y = x)
  • PeroK
  • · Replies 6 ·
Replies
6
What are the requirements for the exercise on multiplicity and set of zeros?
  • forever119
  • · Replies 1 ·
Replies
1
Graduate How to solve this definite integral?
  • Ad VanderVen
  • · Replies 7 ·
Replies
7
Integrating Trigonometric Functions with Substitution
  • karush
  • · Replies 6 ·
Replies
6
High School Wondering if a limit exists or not
  • mcastillo356
  • · Replies 3 ·
Replies
3
Undergrad Understanding a proof of inexistence of max nor min
  • mcastillo356
  • · Replies 4 ·
Replies
4
Undergrad How to Find the Derivative of F = f(x)/f(x+dx)?
  • sha1000
  • · Replies 15 ·
Replies
15
How Does Trig Substitution Simplify the Integral of 1/(25-t^2)^(3/2)?
  • karush
  • · Replies 3 ·
Replies
3
Why Does the Summation Use n-1 and i² in This Limit Calculation?
  • karush
  • · Replies 4 ·
Replies
4
Graduate To understand the Darboux theorem
  • feynman1
  • · Replies 26 ·
Replies
26
What is the Slant Asymptote of $\dfrac{4x^3-10x^2-11x-1}{x^2-3x}$?
  • karush
  • · Replies 3 ·
Replies
3
-x4.6 Find extrema f(x, y, z) = x + yz
  • karush
  • · Replies 4 ·
Replies
4
How can I develop ln(x) into a series for x >= 1 in fluid dynamics?
  • fluid_mechanics
  • · Replies 1 ·
Replies
1
Undergrad Finding the maximum of a function
  • ratio
  • · Replies 2 ·
Replies
2
Graduate Yet another cross-product integral
  • Johan_S
  • · Replies 1 ·
Replies
1
Find Limit of $\displaystyle\frac{\sec x +3}{7x-\tan y}$ at (0,$\dfrac{\pi}{4}$)
  • karush
  • · Replies 3 ·
Replies
3
Undergrad Extreme value nonexistence proof
  • mcastillo356
  • · Replies 11 ·
Replies
11
-7.3.89 Integral with trig subst
  • karush
  • · Replies 4 ·
Replies
4
-z.60 Find the vector perpendicular to the plane PQR
  • karush
  • · Replies 4 ·
Replies
4
Undergrad A function with no max or min at an endpoint
  • mcastillo356
  • · Replies 7 ·
Replies
7
Limit x to o: $\lim_{h\to 0}=-\frac{1}{5}$
  • karush
  • · Replies 2 ·
Replies
2
Finding k for x is undefined at $x=2$
  • karush
  • · Replies 3 ·
Replies
3
Undergrad Stokes' theorem and surface integrals
  • dRic2
  • · Replies 5 ·
Replies
5
Undergrad Second derivative of chained function
  • lriuui0x0
  • · Replies 14 ·
Replies
14
High School Riemann integrability of functions with countably infinitely many dis-
  • Eclair_de_XII
  • · Replies 3 ·
Replies
3
Undergrad How do I use induction more rigorously when making Taylor expansions?
  • Mayhem
  • · Replies 7 ·
Replies
7
Graduate Proving the Equivalence of Local and Global Maxima for Concave Functions
  • pitaly
  • · Replies 1 ·
Replies
1
Undergrad Curvature of 3D Graph on Point w/ Directional Vector
  • kairama15
  • · Replies 3 ·
Replies
3
Question on velocity and acceleration
  • WMDhamnekar
  • · Replies 5 ·
Replies
5
How Do You Solve Integrals Using Partial Fractions?
  • karush
  • · Replies 3 ·
Replies
3
Graduate Calculate curl of e_φ: Non-Zero Vector
  • LagrangeEuler
  • · Replies 1 ·
Replies
1
Mastering Partial Differentiation: A Comprehensive Guide
  • jaychay
  • · Replies 3 ·
Replies
3
Question about the differential in Calculus
  • agapito
  • · Replies 9 ·
Replies
9
Confused: Seeking Help on Problem Solution
  • Albert Einstein1
  • · Replies 2 ·
Replies
2
Undergrad Question about Inverse Derivative Hyperbola function
  • Vividly
  • · Replies 2 ·
Replies
2
Undergrad Neglecting higher powers of small quantities in calculations
  • dyn
  • · Replies 21 ·
Replies
21
Undergrad Equation 16: Missing dt Term Without f(t)?
  • theycallmevirgo
  • · Replies 8 ·
Replies
8
High School Does the Series 1-1+1-1+1... Truly Equal 1/2?
  • cmb
  • · Replies 20 ·
Replies
20
Graduate A better notation for a differential?
  • MichPod
  • · Replies 4 ·
Replies
4
Undergrad How do a bunch of integrals make an n-simplex or an n-cube?
  • George Keeling
  • · Replies 2 ·
Replies
2
Graduate Analytical solution for an integral in polar coordinates?
  • derya
  • · Replies 2 ·
Replies
2
High School Are there mathematicians that dislike integral calculus?
  • docnet
  • · Replies 15 ·
Replies
15
Undergrad Transform from polar to cartesian
  • mathman
  • · Replies 2 ·
Replies
2
Monotonically convergence to the root
  • mathmari
  • · Replies 21 ·
Replies
21
Undergrad Significance of (1+1/x)^x as x->-inf
  • feynman1
  • · Replies 6 ·
Replies
6
Undergrad Vector and Plane Relationship in 3D
  • Travis Enigma
  • · Replies 4 ·
Replies
4
Undergrad Partial differentiation and explicit functions
  • dyn
  • · Replies 5 ·
Replies
5
Undergrad Infinitesimals' rates of approaching 0
  • feynman1
  • · Replies 6 ·
Replies
6
Graduate What is the unique special function in this integral problem?
  • Fred Wright
  • · Replies 4 ·
Replies
4
Undergrad Visualizing the Fourier transform using the center of mass concept
  • person_random_normal
  • · Replies 2 ·
Replies
2
Undergrad Proof of 1/(x^2) Not Having Limit at 0
  • vibha_ganji
  • · Replies 5 ·
Replies
5
Indefinite integral in division form
  • Elina_Gilbert
  • · Replies 1 ·
Replies
1
Undergrad Magnitude of the gradient of a constant scalar field
  • Gamdschiee
  • · Replies 16 ·
Replies
16
Optimization - Lagrange multipliers : minimum cost/maximum production
  • mathmari
  • · Replies 3 ·
Replies
3
Undergrad Is this business graph an exponential or polynomial function?
  • jorgevf200002
  • · Replies 17 ·
Replies
17