Calculus Forum

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.

Threads

Graduate Volume of a Region bounded by two surfaces

  • RadiationX
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Undergrad Five limit problems with radicals, exponentials, and transcendental functions

  • Tonya Miller
  • · Replies 16 ·
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16

Undergrad Integrating $\int_0^{\sqrt{6}}e^{-x^2}\frac{x^2}{2}$: U-Substitution or Parts?

  • RadiationX
  • · Replies 9 ·
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9

Graduate How is the curvature of a curve related to the chain rule?

  • Cyrus
  • · Replies 26 ·
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26

Undergrad What is the value of the integral of a Dirac Delta function from 0 to infinity?

  • sniffer
  • · Replies 17 ·
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17

Undergrad Integral of sin(2x)/(1+sin²x) dx

  • Cradle_of_Knowledge
  • · Replies 10 ·
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10

Undergrad How Do Calculus I Students Solve These Indefinite Integrals?

  • Orion1
  • · Replies 12 ·
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12

Graduate What is the Jacobian value for a change of variable in the integral f(x+{y})?

  • eljose
  • · Replies 2 ·
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2

Graduate Given n points on the unit circle

  • ModernLogic
  • · Replies 7 ·
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7

Undergrad Differentiating [ sin(1/ln(x)) / x ] solution?

  • r3dxP
  • · Replies 5 ·
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5

Graduate Can we ignore the imaginary part when changing variables to x = -e^t?

  • eljose
  • · Replies 6 ·
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6

Graduate Reparametrize the cure in terms of arc length instead of time

  • Cyrus
  • · Replies 10 ·
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10

Undergrad Solve S (x+5)½/x-4 dx with Substitution Method

  • Cradle_of_Knowledge
  • · Replies 6 ·
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6

Undergrad Why Use a Dummy Variable in the Fundamental Theorem of Calculus?

  • Cyrus
  • · Replies 66 ·
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66

Graduate Prove that the limit of the functions

  • eljose
  • · Replies 2 ·
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2

Graduate Concavity at Limits: 4 Questions

  • bomba923
  • · Replies 2 ·
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2

Undergrad How to Find the Area Between the Curves Sec(x) and Tan(x) from 0 to Pi/2?

  • unggio
  • · Replies 2 ·
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2

Graduate How do I find the metric tensor for an arbitrary coordinate system?

  • MalleusScientiarum
  • · Replies 9 ·
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9

High School Free Integral Solver for Multi-Variable Problems

  • mattmns
  • · Replies 6 ·
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6

Graduate Is My Chain Rule for Limits Proof Correct?

  • Noxerus
  • · Replies 2 ·
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2

Graduate What Are the New Limits of Integration for the Rare Integral with Substitution?

  • eljose
  • · Replies 20 ·
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20

Graduate Prove that F(n)→0 as n→∞ for a sum involving exponentials

  • steven187
  • · Replies 37 ·
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37

Graduate Maclaurin series for √(1+x) − √(1−x) and finding derivatives at 0

  • defang
  • · Replies 3 ·
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3

Undergrad Integrating exp(-x^2) and some other stuff

  • cliowa
  • · Replies 17 ·
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17

Graduate Aobut delta and Heaviside function

  • eljose
  • · Replies 2 ·
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2

High School How can you use a website to visualize the solutions to a system of equations?

  • meatandpotatoes22003
  • · Replies 2 ·
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2

Undergrad Finding bounds when calculating area between polar curves

  • itzela
  • · Replies 2 ·
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2

Graduate Why does the distributive law hold for cross products?

  • Cyrus
  • · Replies 21 ·
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21

Undergrad This looks like an easy integral, why cant i get it

  • jmf322
  • · Replies 12 ·
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12

Undergrad Second Partial Derivatives of Implicit Functions

  • rick1138
  • · Replies 6 ·
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6

Graduate Symmetric Function G(x,s) and Linear Operator L to Solving Equations

  • eljose
  • · Replies 3 ·
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3

High School Refresher on Euler's circuit

  • jmcbrayer
  • · Replies 2 ·
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2

High School Can I Find the Logarithmic Expansions of Log[x]?

  • mathelord
  • · Replies 5 ·
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5

Graduate What is the relationship between Mellin transforms and integrals?

  • eljose
  • · Replies 2 ·
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2

Undergrad Preparing for Calc 2: What Topics Should I Review?

  • JoshHolloway
  • · Replies 6 ·
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6

Graduate Does the exponent in a series affect its radius of convergence?

  • ModernLogic
  • · Replies 5 ·
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5

Undergrad How to differentiate a three term function?

  • JoshHolloway
  • · Replies 9 ·
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9

Undergrad Change of variables for double integral with F(y/x)

  • eljose
  • · Replies 2 ·
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2

Graduate Professional Advice on Solving these Equations Would be Appreciated

  • Perspicacious
  • · Replies 2 ·
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2

High School Where can I find a comprehensive list of AP Calculus BC formulas?

  • BasketDaN
  • · Replies 30 ·
2
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30

Undergrad VERY hard integral (atleast to me)

  • Techman07
  • · Replies 12 ·
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12

Graduate Inverse Laplace transform of 1/sqrt(s) using contour integration

  • steve2k
  • · Replies 2 ·
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2

Graduate When Can Differentiation Be Interchanged with Integration?

  • Galileo
  • · Replies 23 ·
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23

Undergrad Solve Integral: \int^2_1 \frac{dx}{(3-5x)^2}

  • evan4888
  • · Replies 2 ·
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2

Undergrad How can I prove (cos 3x - Cos 7x) / (Sin 3x + Sin 7x) = Tan 2x?

  • powp
  • · Replies 2 ·
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2

Graduate Is the Matrix Notation for Partial Derivatives Useful?

  • Cyrus
  • · Replies 27 ·
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27

Undergrad What are the different interpretations of differentials in calculus?

  • noslen
  • · Replies 7 ·
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7

High School Does dx/dt Equal dv or Average Velocity?

  • quasi426
  • · Replies 2 ·
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2

Undergrad How to determine the equation of a parabola

  • scorpio_714
  • · Replies 2 ·
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2

Undergrad What is the limit of log10 (x2-5x+6) as x approaches 3?

  • shorti2406
  • · Replies 2 ·
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2

Graduate Complex Integral: Existence of Formula for 𝑒^(-𝑎𝑥2+𝑏𝑥)

  • Yegor
  • · Replies 3 ·
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3

Undergrad Approximate Formula for Large x: Understand Derivation

  • Yegor
  • · Replies 3 ·
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3

Graduate Is the Golden Ratio the Limit of Consecutive Fibonacci Numbers?

  • steven187
  • · Replies 19 ·
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19

Graduate Proofs for 1+\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+\ldots=\frac{\pi^2}{6}

  • murshid_islam
  • · Replies 2 ·
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2

Undergrad Differerntiating Exponential Functions

  • evan4888
  • · Replies 10 ·
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10

High School I need some guidance for next school year

  • ludi_srbin
  • · Replies 9 ·
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9

Graduate What is the best approach for solving the goniometric integral problem?

  • TD
  • · Replies 6 ·
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6

High School How is the dx quantity derived in using differentials to approximate values?

  • JoshHolloway
  • · Replies 4 ·
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4

High School Can Integration by Parts Lead to Errors?

  • Yegor
  • · Replies 12 ·
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12

Undergrad Differentiation: How does it overcome the 0/0 problem?

  • cscott
  • · Replies 8 ·
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8

Graduate Probability both projects complete by time t with sequential scheduling

  • Jimmy Snyder
  • · Replies 5 ·
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5

Graduate Euler's Proof for the Zeta Function at 2

  • saltydog
  • · Replies 26 ·
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26

Graduate Calculating Exact Area of Ruled Surface: Accuracy and Procedure

  • Moo Of Doom
  • · Replies 4 ·
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4

Undergrad Is the Integral of sqrt(x^2 + y^2 + C^2) Solvable?

  • Kruger
  • · Replies 9 ·
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9

Graduate Surface integral of X^4 + Y^4 + Z^4 over a unit sphere

  • defang
  • · Replies 18 ·
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18

Undergrad Finding the Area of a Triangular Region in the First Quadrant

  • shadow5449
  • · Replies 7 ·
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7

Graduate Evaluating Integral: \int_0^\infty\frac{x^{3}}{e^x-1}dx

  • vabamyyr
  • · Replies 16 ·
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16

Undergrad Big brains LOOK UP this small limit problem

  • lwrthy
  • · Replies 29 ·
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29

Undergrad Work required to pull a leaking bucket from an 80 ft well

  • JohnRV5.1
  • · Replies 2 ·
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2

Undergrad Sketching the change in a cube's volume

  • wisredz
  • · Replies 2 ·
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2

Undergrad Finding the integral for coil width given wire length and diameter

  • willib
  • · Replies 2 ·
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2

Undergrad How to Find the Normal Vector of the Second Plane?

  • the_rising
  • · Replies 4 ·
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4

Undergrad Tangent Plane Equation with Partial Derivatives

  • amcavoy
  • · Replies 10 ·
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10

Graduate Can you prove that f(x)=0 for all x in [a,b]?

  • steven187
  • · Replies 3 ·
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3

Undergrad How Can the Intermediate Value Theorem Prove m Exists for m = x^5 - 1 = x^3?

  • monet A
  • · Replies 3 ·
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3

Undergrad How to factor x[3(x-4)^2]+(x-4)^3 into (x-4)^2(4x-4)

  • JoshHolloway
  • · Replies 8 ·
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8

Undergrad Can This Hard Integral Problem Be Solved With Complex Numbers?

  • infirmus
  • · Replies 20 ·
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20

Undergrad How were antiderivatives solved before special functions?

  • rachmaninoff
  • · Replies 2 ·
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2

Undergrad How to find out equation of a plane intersecting with other ?

  • the_rising
  • · Replies 2 ·
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2

Undergrad Is the Product of Integrable Functions Also Integrable?

  • steven187
  • · Replies 4 ·
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4

Undergrad How Can I Integrate sqrt(2+2sin(x))?

  • lostinhere
  • · Replies 6 ·
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6

Undergrad Need Engineering Maths Practice Questions?

  • Tino
  • · Replies 6 ·
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6

Undergrad How do you differentiate a scalar n vector?

  • gunblaze
  • · Replies 2 ·
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2

Graduate Greatest Lower Bound of A - Proving it with an Axiom

  • steven187
  • · Replies 2 ·
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2

Undergrad How do I find the maximum and when it occurs for this min/max problem?

  • Samael
  • · Replies 9 ·
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9

Undergrad Two sprinters with uniform acceleration: who finishes first?

  • PabloPicasso
  • · Replies 17 ·
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17

Graduate Is the Absolute Value of an Integrable Function Also Integrable?

  • steven187
  • · Replies 3 ·
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3

Undergrad Finding dy/dx for y = ln(sin^{-1}(x))

  • monet A
  • · Replies 3 ·
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3

Graduate Can discontinuous bounded functions be Riemann integrable?

  • steven187
  • · Replies 19 ·
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19

Graduate Chain rule in functions of two variables

  • Castilla
  • · Replies 12 ·
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12

Undergrad Limit x->-infinity (x/(z^2+x^2)^0.5) = ?

  • Eus
  • · Replies 2 ·
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2

Graduate Arithmetic of of integrable functions

  • steven187
  • · Replies 12 ·
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12

Graduate Does $\int\limits_n^\infty {\frac{{\sin x}} {x}dx}$ Converge?

  • bomba923
  • · Replies 5 ·
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5

Undergrad We call L the limit of f(x) as x

  • cscott
  • · Replies 8 ·
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8

Undergrad How can I determine the area between two curves?

  • mathelord
  • · Replies 6 ·
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6

Undergrad Partial Derivatives: Chain Rule Confirmation

  • fishingtreeing
  • · Replies 5 ·
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5

Undergrad General definition of a derivative

  • cscott
  • · Replies 3 ·
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3

Undergrad Solving Limit of $\log {(n+1)}/\log {n}$

  • steven187
  • · Replies 3 ·
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3

Undergrad What is the ratio test for proving absolute convergence of a series?

  • steven187
  • · Replies 5 ·
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5

Undergrad What is the Differentiation Problem for the Function g(t)=t√(4-t)?

  • JoshHolloway
  • · Replies 3 ·
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3