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 to Find x Given sin^{-1}(x) + cos^{-1}(1/√x) = 0?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Find the global max/min for z=xy^2 - 5 on the region bounded by y=x
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Integral for calculating length of the curve
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Truncated form of a infinite series
  • · Replies 3 ·
Replies
3
Views
3K
Graduate What Is the Role of ξ in the Arc Length Formula?
  • · Replies 6 ·
Replies
6
Views
2K
Graduate What is the Integral of x_2-x_1?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate What exactly does the second derivative represent
  • · Replies 1 ·
Replies
1
Views
5K
MHB Chain rule partial derivatives
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Hey anyone please can tell me this one:A=lim(e^(1/n*logn)) (n tends
  • · Replies 4 ·
Replies
4
Views
2K
Graduate How Does the Scaling Property Affect the Derivative of the Dirac Delta Function?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad *s(t)*=$\int_{t_0}^{t}\left | R'(\xi) \right | d\xi$ What is $\xi$ ?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Calculating limits by subbing in values
  • · Replies 3 ·
Replies
3
Views
2K
MHB Solve for x: e^-0.38x=.3 - I Got .4387 - Correct?
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Y=ln(3-x) How to transform it? What is wrong with my logic?
  • · Replies 5 ·
Replies
5
Views
11K
Undergrad Using Limit Definition of the Derivative?
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Populations of each of the fifty US states is a vector?
  • · Replies 1 ·
Replies
1
Views
2K
High School Understanding ⊂ & ⊆ for the Puzzled
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Partial Derivative of Composite Functions
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Convergence of an Improper Integral
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Polar to rectangular coordinates
  • · Replies 8 ·
Replies
8
Views
2K
MHB What is the domain of f(x)=ln(sin(pi/x))?
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Why Can't We Use \int^{β}_{α} rdθ for Polar Curve Arc Length?
  • · Replies 4 ·
Replies
4
Views
2K
MHB Finding the Formula for Partial Sums of an Arithmetic Sequence
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Solving for the Unknown Integral Kernel?
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad Using the same substitution for integration twice
  • · Replies 9 ·
Replies
9
Views
4K
MHB Solving for x: sqrt(x+3)-2/4x-4 & 1-sqrt(cosx)/x^2
  • · Replies 11 ·
Replies
11
Views
4K
MHB How Does the Limit of Logarithms Compare Two Functions Asymptotically?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Vector Notation, arrow coupled with hat versus hat alone
  • · Replies 7 ·
Replies
7
Views
10K
Undergrad What are the methods for transforming rotated conic sections to standard form?
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad If a partition of an integral diverges, does the whole integral diverge?
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad How dones one flip the graph of a parametric curve?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad What is the Tangent Line of f(x) = x2-1 at x=1?
  • · Replies 6 ·
Replies
6
Views
3K
Graduate How Do You Integrate This Complex Equation?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Calculate Fourier Transform of (1+at^2)^-n
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Domain of a function - f(x,y)=root(1-x)+root(1-y)
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad How do I integrate a(1-e^-bt) with constants a and b?
  • · Replies 1 ·
Replies
1
Views
7K
Graduate Change of variable in integral using metric
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Linear Transformation from R^m to R^n: Mapping Scalars to Vectors
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Determinant of vector of AXB for 3-D
  • · Replies 4 ·
Replies
4
Views
5K
Graduate Help with revision - area integrals
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Differentiation using chain/product rule
  • · Replies 1 ·
Replies
1
Views
2K
MHB Sequence of Interpolating Values
  • · Replies 3 ·
Replies
3
Views
3K
Graduate What is wrong with this integral?
  • · Replies 9 ·
Replies
9
Views
3K
Graduate Fundamental theorem for line integrals
  • · Replies 5 ·
Replies
5
Views
3K
High School Interpreting a function based on it's equation.
  • · Replies 28 ·
Replies
28
Views
6K
MHB How Accurate is Lagrange Interpolation for Approximating Cos(0.75)?
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Volume by disks, shells, or washers?
  • · Replies 2 ·
Replies
2
Views
3K
MHB Verify Change of Variables for System of Equations w/ Constant Coefficients
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad Indicators that a limit does/does not exist
  • · Replies 4 ·
Replies
4
Views
4K
MHB Finding surface area with volume
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Deriving Arctan(z) formula using series.
  • · Replies 10 ·
Replies
10
Views
5K
Graduate Interpolation Functions and their derivatives
  • · Replies 4 ·
Replies
4
Views
2K
Graduate The integral of the convolution between functions f
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Limit of Lim h->0 ((2+h^2) - 8)/h
  • · Replies 2 ·
Replies
2
Views
9K
MHB Is Inequality Proven Using Calculus in a Different Approach?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Physical meaning of vector line integration
  • · Replies 9 ·
Replies
9
Views
8K
Graduate Gradient and equation for curve in space
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad When is a function non-differentiable?
  • · Replies 4 ·
Replies
4
Views
2K
MHB Tangent to Curve $e^x+k$ at $x=a$: Find $k$
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Can This Integral Be Computed and Does Evenness Help?
  • · Replies 24 ·
Replies
24
Views
5K
Undergrad What is the limit of (1+f(x))^g(x) as x approaches infinity?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Coordinate system transformation
  • · Replies 1 ·
Replies
1
Views
2K
High School What Are Some PG-13 Funny Ideas for Our AP Calculus T-Shirt Design?
  • · Replies 14 ·
Replies
14
Views
7K
Graduate Deriving the Vector Calculus Equation for Magnetic Force
  • · Replies 4 ·
Replies
4
Views
2K
MHB Is a Line Parallel to the Y-Axis a Function?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad How do I find the mass of a cone with changing density?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Is U-Substitution really just an overcomplication?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Can these limits be proven to be equal?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Intuition of improper integrals of type II
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Leibniz notation when taking derivatives
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Implicit functions in R2 vs. functions of two variables in R3
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Does L'Hopital's Rule Apply to Limits of x^(1-p) as x Approaches Infinity?
  • · Replies 3 ·
Replies
3
Views
2K
MHB A question on asymptotic expansion for erf function.
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Questions about definite integrals
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad How cubed root of x is not differentiable at 0
  • · Replies 12 ·
Replies
12
Views
21K
Graduate How to derive the principal radii of an ellipse
  • · Replies 3 ·
Replies
3
Views
6K
MHB Maybe add this to the Integral Calculus tutorial....
  • · Replies 7 ·
Replies
7
Views
3K
Graduate Complex Integration with a removable singularity
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Limit of K-Roots in Pascal's Triangle
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Choice of Contour in Complex Analysis
  • · Replies 1 ·
Replies
1
Views
2K
High School Who is the creator of line integral?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Conformal Mapping: Is Non-Analytic Point Conformal?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Criteria for a power series representation?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Derivation of Laplace Operator in Spherical and Cylindrical Coordinates
  • · Replies 3 ·
Replies
3
Views
7K
MHB Modeling the removal of waste from a national park
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Why/how can the product of 2 differentials be neglected?
  • · Replies 6 ·
Replies
6
Views
5K
Undergrad Combining Cos(t)'s from (sin2t + sin3t)/2*sint
  • · Replies 18 ·
Replies
18
Views
6K
Graduate Laurent series for pole to non integer power
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad One Sided Limits of Greatest Integer Function
  • · Replies 2 ·
Replies
2
Views
4K
MHB Solving $\sum_{m=1}^{6}\csc \theta$ for $\theta$
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Lim x→inf text book example confusing step
  • · Replies 1 ·
Replies
1
Views
2K
MHB Opinion Needed: Is Student's Solution Around x=2 Correct?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate How to Verify the Equation: pi^2/8 = Sum (1/(2n+1)^2) without Prefix?
  • · Replies 8 ·
Replies
8
Views
31K
Graduate Finding Surface for Complex ParametricPlot3D
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Finding the curl in diffrent coordinates by transforming variables
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Tangent vector to a parametric curve
  • · Replies 2 ·
Replies
2
Views
2K
Graduate How a vol. integral becomes a vol. integral plus surface integral
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Difference between lim as x→∞ and lim as |x|→∞
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Non-rotating vector fields with non-zero Curl
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Universal Law of Gravitation described by complex functions
  • · Replies 2 ·
Replies
2
Views
2K