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

Undergrad Midterm Questions for Calculus I Course

  • JasonRox
  • · Replies 2 ·
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2

High School Help with fundamental concept of calculus; limits.

  • QuantumTheory
  • · Replies 9 ·
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9

High School Integrals: Definition, Difference and Meaning

  • Alkatran
  • · Replies 8 ·
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8

Graduate Don't know how to approach this one

  • Caldus
  • · Replies 2 ·
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2

Graduate Solve Integral: x^2[e^(-x^2)] from -∞ to ∞

  • newton1
  • · Replies 9 ·
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9

Graduate Solving Complex Number Equations with e^{\frac{1}{2} i n x}

  • JasonRox
  • · Replies 7 ·
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7

High School Verifying two trigonometric identities with cotangent and sine

  • andyc18
  • · Replies 4 ·
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4

Graduate Proving limits for converging sequences

  • Ed Quanta
  • · Replies 2 ·
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2

Undergrad Finding the indefinite integral of sqrt(a²sin²(t)+b²cos²(t))

  • SomeRandomGuy
  • · Replies 6 ·
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6

Graduate How Do You Calculate the Arc Length of a Complex Curve?

  • Caldus
  • · Replies 14 ·
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14

Undergrad How Do You Integrate 1/x^(1+a)?

  • john425
  • · Replies 4 ·
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4

Graduate What are the Limits for Infinity in Mathematical Indeterminacy?

  • MSI
  • · Replies 5 ·
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5
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4

Undergrad How do I find the derivative of tan(x) from first principles?

  • Dr-NiKoN
  • · Replies 29 ·
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29

Undergrad Does the series ∑(4n+3)/(7n-1) converge?

  • gflores
  • · Replies 6 ·
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6

Undergrad How are x, y, and z related in their sequences?

  • footprints
  • · Replies 3 ·
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3

Graduate Moment of a probability distribution

  • dbb04
  • · Replies 4 ·
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4

Undergrad Why does sin(x+h) = sin x cos h + cos x sin h?

  • dabouncerx24
  • · Replies 3 ·
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3

Undergrad Arclength in polar coordinates?

  • vsage
  • · Replies 3 ·
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3

Undergrad What is the last level of calculus?

  • QuantumTheory
  • · Replies 21 ·
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21

Undergrad When Can i apply L'Hopital's rule?

  • zolit
  • · Replies 2 ·
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2

Graduate Continuous Nowhere, Continuous Everywhere: Tricky Function Example [0,1] Domain

  • Nebula
  • · Replies 9 ·
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9

Undergrad Finding non-differentiable points of min(|x|,|x-1|,|x+1|)

  • mathsfreak
  • · Replies 2 ·
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2

Undergrad Limit of (x² - 4x + 3)/(−x² + 2x + 3) as x → 1

  • johnnyICON
  • · Replies 20 ·
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20

Undergrad Would the Series Converge if 2 Were Replaced by e?

  • theraptor
  • · Replies 4 ·
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4

Undergrad Isolating Variable L in G = log [ aL (1-e^(-bL) + S e^(-bL)]

  • amirshi
  • · Replies 2 ·
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2

Undergrad What Causes the Discontinuity in Differentiating x^2?

  • spacetime
  • · Replies 22 ·
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22

Undergrad How to Differentiate an Integral with a Variable Upper Limit?

  • dbb04
  • · Replies 2 ·
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2

Undergrad Average Array: Limit of Average Terms?

  • kishtik
  • · Replies 3 ·
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3

Undergrad What is the volume of the resulting solid?

  • Caldus
  • · Replies 12 ·
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12

Graduate Solve Trig Derivative: -8\int sec^3(\theta)+2sec^2(\theta)+sec(\theta)d\theta

  • tangur
  • · Replies 3 ·
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3

Graduate Transforming a Wedge into an Angular Sector

  • T-O7
  • · Replies 4 ·
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4

Undergrad How Does the Sequence Convergence to 1/2 Work?

  • quasar987
  • · Replies 9 ·
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9

Graduate Fourier Transform: Find Without Integration

  • skan
  • · Replies 3 ·
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3

Undergrad Integrating 1/(1-x^5) and 1/(1+x^4), and a trig identity

  • alamin
  • · Replies 3 ·
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3

Undergrad Is the Integral of f(t)*cost dt an Odd Function with Limits from -pi/2 to pi/2?

  • skan
  • · Replies 2 ·
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2

Graduate Sum of reciprocals of numbers with only factors 2 and 3

  • Kenshin
  • · Replies 2 ·
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2

Undergrad Fun Problem: Area of Overlapping circles

  • relativitydude
  • · Replies 2 ·
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2

Undergrad Maximum and Minimum Limits at Infinity Proof?

  • Nebula
  • · Replies 6 ·
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6

Undergrad Integrating sec x and 1/(1-u²) for surface area of 1/x

  • teclo
  • · Replies 9 ·
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9

High School Graph r(t) = <t^2, cos t, sin t>

  • crazynut52
  • · Replies 10 ·
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10

Undergrad Proving Limits of Series: No Integrals Needed

  • Ed Quanta
  • · Replies 3 ·
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3

Undergrad Calculating Area and Perimeter of Geometric Figures with pi^2 and (pi^2-1)

  • arivero
  • · Replies 3 ·
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3

Undergrad Nth partial sum of a series Σ Ak is Sn = (n-1)/(n+1)

  • Kenshin
  • · Replies 12 ·
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12

Graduate Area bounded by hyperbola 9x² - 4y² = 36 and line x = 3

  • tangur
  • · Replies 6 ·
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6

Undergrad Quick easy question to make sure i got this

  • Gecko
  • · Replies 6 ·
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6

Graduate Uhmwhat is a constant with a verticle slash though it? heh

  • QuantumTheory
  • · Replies 2 ·
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2

High School Where Can I Find and Pronounce Greek Symbols for Equations?

  • QuantumTheory
  • · Replies 2 ·
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2

Undergrad Help with Laplace transforms for next week's test

  • rishid
  • · Replies 3 ·
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3

Undergrad Can you prove n+1 ≥ (1+1/n)^n using induction?

  • quasar987
  • · Replies 2 ·
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2

Graduate Cauchy Riemann Conditions Question

  • Ed Quanta
  • · Replies 2 ·
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2

How can I access textbook-style written problems on this forum?

  • Lawrence Albano
  • · Replies 2 ·
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2

Undergrad What Is the General Formula for Summing Series with r^2 and r^3 Terms?

  • ThomasJoe40
  • · Replies 15 ·
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15

Thank you for helping me pass grade 13 calculus

  • singleton
  • · Replies 5 ·
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5

High School Learning integration from Adams calculus textbook

  • gunnar
  • · Replies 2 ·
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2

Undergrad Integration of a cone to find centre of mass

  • rainbowGirl
  • · Replies 2 ·
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2

Graduate Strict local minimizer (multivariate)

  • cateater2000
  • · Replies 4 ·
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4

Undergrad Quick series convergence question

  • DE7
  • · Replies 4 ·
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4

Graduate What is the solution to the infinite lamp game?

  • Ethereal
  • · Replies 9 ·
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9

Undergrad Convert ρ(1-2cos²φ)=-ρsin²φ from spherical to cylindrical

  • DeadxBunny
  • · Replies 2 ·
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2

Undergrad Prove that the lim (x->1) x^2 + 2 is NOT equal to 2.999?

  • bezgin
  • · Replies 6 ·
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6

Undergrad Is 8 a Relative Max of F in the Given Domain?

  • rpc
  • · Replies 2 ·
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2

Undergrad Acceleration and Velocity Problem

  • DeadxBunny
  • · Replies 2 ·
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2

Undergrad Linear model for GPA vs TV hours and four other modeling problems

  • mkou528
  • · Replies 2 ·
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2

Undergrad Identity for tan(x-y) = [tan(x) - tan(y)]/[1-tan(x)tan(y)]

  • BrendanM
  • · Replies 4 ·
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4

Graduate Space Curves -> Unit Tangent Vector and Curvature

  • DeadxBunny
  • · Replies 2 ·
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2

Undergrad Confused about limit of function

  • semidevil
  • · Replies 4 ·
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4

Graduate How to evaluate lim x→0 of (1/x)∫(1-tan2t)^(1/t)dt

  • tangur
  • · Replies 7 ·
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7

Undergrad Limit of 2^(3n)/3^(2n) as n approaches infinity

  • quasar987
  • · Replies 10 ·
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10

Graduate Uniform Continuity (and Irrationals)

  • zolit
  • · Replies 2 ·
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2

Graduate How Is the Tumor Growth Equation Solved Using Separation of Variables?

  • ninaricci
  • · Replies 2 ·
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2

Admitting mistakes and personal growth

  • Motifs
  • · Replies 2 ·
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2

Undergrad Integrating 1/(x²+4)²

  • NINHARDCOREFAN
  • · Replies 3 ·
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3

Graduate Derivative of U(X(t),t) with respect to t

  • forget_f1
  • · Replies 2 ·
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2

Graduate Finding the limit of x₁=1, x_{n+1}=3+√x_n

  • quasar987
  • · Replies 2 ·
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2

Undergrad Using e^ix to determine a trig identity

  • josephcollins
  • · Replies 2 ·
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2

Undergrad Solving Sin/sec/tan/csc: -sqrt6/6

  • sfeld
  • · Replies 5 ·
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5

Undergrad Find all real roots of this polynomial

  • quasar987
  • · Replies 14 ·
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14

Graduate "Proof of a Formula for Differentiating x^p with Respect to y

  • hedlund
  • · Replies 2 ·
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2

Undergrad Why Does the First Step in Solving This Sequence Problem Work?

  • quasar987
  • · Replies 7 ·
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7

Graduate Sum of 1/(n²(2n-1)) from n=1 to infinity

  • cateater2000
  • · Replies 3 ·
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3

Undergrad How Does Induction Prove the Formula for Terms in a Recurrence Relation?

  • quasar987
  • · Replies 2 ·
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2

Graduate Find accumulation points (real analysis)

  • quasar987
  • · Replies 3 ·
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3

Undergrad How to Find the Volume of a Cone Using Integration?

  • rainbowGirl
  • · Replies 2 ·
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2

Undergrad How to differentiate f(x)=2sin(x)+2x^x?

  • dbzgtjh
  • · Replies 3 ·
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3

Undergrad How to prove there is no limit of cos1/x using theorm of limit

  • flying2000
  • · Replies 9 ·
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9

Undergrad Limit Problems with Trigonometric Functions

  • Hygelac
  • · Replies 21 ·
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21

Undergrad How Should Cable Be Laid to Minimize Costs Across a River?

  • shreena03
  • · Replies 2 ·
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2

Undergrad Are (0,1) and [0,1] equivalent intervals?

  • tink
  • · Replies 5 ·
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5

Graduate Abel's Lemma: Direct and Induction Proof

  • Integral
  • · Replies 2 ·
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2

Undergrad What is the logic behind L'Hopital's Rule?

  • CartoonKid
  • · Replies 4 ·
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4

Undergrad Finding Maximum Area of Inscribed Rectangle in a Triangle Using Differentiation

  • theCandyman
  • · Replies 3 ·
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3

Graduate Minimize E = U*x/(1-yC)² subject to x*y = L

  • malcolm60
  • · Replies 12 ·
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12

Graduate Integrating nested root in denominator

  • fintian
  • · Replies 2 ·
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2

Undergrad Can someone explain mimits and how it relates to the formal limit definition?

  • mfk_1868
  • · Replies 16 ·
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16

Graduate Integrating the ALLEE Effect: ds/dt = -a s ln(bs)

  • ninaricci
  • · Replies 3 ·
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3

Undergrad Adding Trigonometric Functions: Get the Answer Here!

  • vptran84
  • · Replies 4 ·
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4

Undergrad Simple Riemann Sums question with answers not lining up

  • singleton
  • · Replies 3 ·
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3

Undergrad Mean Value Theorem - f(x) = f(a)+(x-a)f'(u)

  • rhia
  • · Replies 8 ·
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8

Undergrad What Mathematical Method Did Feynman Frequently Use?

  • Saint Medici
  • · Replies 7 ·
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7