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 Dot product of a vector and a derivative of that vector

  • Ashiataka
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Sketching graphs with extreme values with the Given Information

  • ardentmed
  • · Replies 6 ·
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6

Finding Limits Using Limit Laws (Not L'Hopital's Rule)

  • ardentmed
  • · Replies 5 ·
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5

Calculating Area from Differentials

  • ardentmed
  • · Replies 5 ·
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5

Graduate Is My Interpretation of the 2nd Order Derivative Correct?

  • test1234
  • · Replies 2 ·
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2

Differentiation Techniques in Calculus

  • ardentmed
  • · Replies 5 ·
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5

Concavity, Inflection Points, and Intervals of Increase and Decrease

  • ardentmed
  • · Replies 3 ·
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3

What is the rate of change of angle in a 90 degree triangle?

  • ardentmed
  • · Replies 3 ·
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Differentiation With L'Hopital's Rule

  • ardentmed
  • · Replies 7 ·
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Related Rates and Exponential Growth

  • ardentmed
  • · Replies 6 ·
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6

Exponential Growth And Composite Functions

  • ardentmed
  • · Replies 6 ·
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6

Graduate Trouble with a separable differential equation

  • eric_999
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4

Undergrad Changing the function w.r.t in integration

  • kartikwat
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2

Logarithmic Differentiation And Exponential Growth Questions

  • ardentmed
  • · Replies 3 ·
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3

Equation of the Normal and Ellipses Questions

  • ardentmed
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2

Derivative by limit definition and intermediate value theorem applications

  • ardentmed
  • · Replies 4 ·
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4

Average Value Theorem, Limits, and Slopes.

  • ardentmed
  • · Replies 3 ·
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Calculus I Simplifying and Substitution

  • ardentmed
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3

Undergrad Why does the fundamental theorem of calculus give F(x) = F(x) - F(a)?

  • Dethrone
  • · Replies 16 ·
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4

Graduate Integral -- analytical way to prove this integral is non-negative?

  • Mark_M
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1
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7

How do I solve parametric and polar curve problems in Calculus 2.1?

  • Jboeding
  • · Replies 11 ·
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11

Minimizing Material Used for a Box

  • ardentmed
  • · Replies 3 ·
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3

Graduate How can a Fourier expansion contain all the same info as original f'n?

  • thecommexokid
  • · Replies 15 ·
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15

Integral of x·arctan(x)/(1+x²)³ with u-substitution

  • leprofece
  • · Replies 1 ·
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1

Range of $\frac{1}{x} + x = 1/x^2 + x$ is all R

  • leprofece
  • · Replies 6 ·
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6

Undergrad How to Derive the Lorentz Factor from Pythagoras?

  • MathiasArendru
  • · Replies 10 ·
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10

Volumes of Solids of Revolution using Shells

  • ineedhelpnow
  • · Replies 13 ·
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13

Is this correct?How much work is needed to compress a spring and lift a mass?

  • ineedhelpnow
  • · Replies 9 ·
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9

Find First 5 Nonzero Terms of Maclaurin Series for $e^{4x} \sqrt{1+x}$

  • ineedhelpnow
  • · Replies 2 ·
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2

Graduate Nice Resource to learn Advanced Calculus

  • Septim
  • · Replies 2 ·
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2
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2

Improper Integral and Force on a Dam

  • ineedhelpnow
  • · Replies 8 ·
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8

Slope of polar curve at indicated point

  • ineedhelpnow
  • · Replies 2 ·
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2

Graduate Why is the output different for this integral in Mathematica?

  • JulieK
  • · Replies 4 ·
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4

Why Split Improper Integrals?

  • Dethrone
  • · Replies 6 ·
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6

Undergrad Calculus Beyond Integration: What's Next?

  • alvin51015
  • · Replies 4 ·
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4

Determine Convergence/Divergence: Series Answers

  • ineedhelpnow
  • · Replies 3 ·
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3

Undergrad Simpson's Rule Formula: Number of Partitions ∞

  • gfd43tg
  • · Replies 1 ·
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1

Intervals of Increase and Inflection Points Question

  • ardentmed
  • · Replies 3 ·
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3

Concavity and Inflection Points II

  • ardentmed
  • · Replies 1 ·
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1

How Much Work is Required to Stretch a Spring 3 Meters from Equilibrium?

  • ineedhelpnow
  • · Replies 2 ·
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2

Graduate Total Differentials: Taking the Total Differential of Reduced Mass

  • eprparadox
  • · Replies 1 ·
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Ways to quickly determine if a series converges or diverges

  • ineedhelpnow
  • · Replies 3 ·
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Finding the maximum of P(x) = x(√(100-x²) + √(81-x²))/2

  • anemone
  • · Replies 2 ·
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2

Integral Relation: $|a| > |b|$

  • polygamma
  • · Replies 2 ·
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2

Taylor Series Expansion and Radius of Convergence for $f(x)=x^4-3x^2+1$

  • ineedhelpnow
  • · Replies 1 ·
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1

Graduate What is the relationship between variational calculus and integration by parts?

  • Travis091
  • · Replies 1 ·
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1

Finding the sum of ∑(2^n)/(3^n·n!)

  • ineedhelpnow
  • · Replies 1 ·
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1

Undergrad How to Integrate Complex Functions Like ∫(sec(x^2))(e^cot(x))dx?

  • dasboot58
  • · Replies 12 ·
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12

Undergrad Why Is Understanding Partial Fraction Decomposition Important?

  • eric_999
  • · Replies 3 ·
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Undergrad Can cos^2(kt)+sin^2(kt) always equal 1, regardless of the value of k?

  • mill
  • · Replies 4 ·
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4

Undergrad Is it wrong? (A theorem of limits)

  • Adit
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5

What are the intervals and radius of convergence for two series with typos?

  • ineedhelpnow
  • · Replies 8 ·
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8

Calculating the Area of Region Bound by a Curve and its Asymptotes

  • Dethrone
  • · Replies 11 ·
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11

Solving Functions Problems: Lagrange and Rolle's Theorem

  • laura1231
  • · Replies 1 ·
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1

Find k and m for line perpendicular to plane through U, W, V

  • shawen
  • · Replies 1 ·
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1

Find point where F'(a)=a for f(x)=-x²+3x-7

  • shawen
  • · Replies 1 ·
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1

Is the Series Absolutely Convergent, Conditionally Convergent, or Divergent?

  • ineedhelpnow
  • · Replies 11 ·
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11

Undergrad Assumptions in Mathematical Word Problems

  • Amad27
  • · Replies 20 ·
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20

Composite Functions and Exponential Growth

  • ardentmed
  • · Replies 1 ·
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1

Graduate How to prove gradients vectors are the same in polar and cartesian co.

  • davidbenari
  • · Replies 3 ·
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3

Linear Approximation With Trigonometry

  • ardentmed
  • · Replies 1 ·
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1

Root Test/Comparison for $\sum_{k=1}^{\infty}\frac{(-3)^{k+1}}{4^{2k}}$

  • ineedhelpnow
  • · Replies 2 ·
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2

Graduate Series expansion of the signum function of sine

  • carbon9
  • · Replies 1 ·
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1

Undergrad Rewriting quadratics as u² - k² or u² + k² with substitution

  • eric_999
  • · Replies 1 ·
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1

Integration with trig identities and absolute value

  • Dethrone
  • · Replies 11 ·
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11

How to Solve this Partial Fraction Decomposition Problem?

  • shamieh
  • · Replies 1 ·
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1

Undergrad How do Taylor and Maclaurin series of the same function converge to the same value?

  • eprparadox
  • · Replies 3 ·
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3

Finding f(x) and a from limit definition of derivative

  • ardentmed
  • · Replies 1 ·
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1

Finding domains of composite functions with square roots and fractions

  • ardentmed
  • · Replies 2 ·
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2

How to Solve This Trigonometric Limit as x Approaches Infinity?

  • Francolino
  • · Replies 4 ·
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4

Undergrad Should I think of integrals as sums or antiderivatives?

  • davidbenari
  • · Replies 13 ·
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13

Graduate Time to reach 99% steady-state in pharmacokinetic infusion model

  • kochibacha
  • · Replies 2 ·
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2

Undergrad Why does ∫(1/(2(2x-1)))dx give different answers with different substitutions?

  • eric_999
  • · Replies 3 ·
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3

Undergrad Line integral in a uniform force field

  • Born
  • · Replies 8 ·
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8

Find Sum of Series to Within 0.01

  • ineedhelpnow
  • · Replies 6 ·
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6

Calculus book recommendations for self-study

  • Farmtalk
  • · Replies 5 ·
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5

Undergrad Is $k \geq 3$ enough to conclude $(k - 1)^2 > 2$ in mathematical induction?

  • ineedhelpnow
  • · Replies 13 ·
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13

If dx/dt=kx, and if x=2 when t=0 and x=6 when t=1, then k=

  • karush
  • · Replies 1 ·
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1

How Do You Find the Range and Oblique Asymptote of \( x + \frac{1}{x} \)?

  • leprofece
  • · Replies 6 ·
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6

How do I expand $\frac{e^{z^2}}{z^3}$ into a Laurent series?

  • aruwin
  • · Replies 7 ·
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7

Undergrad Solve Systems of Equations 17.3-(17.3)e^(-92.34940680845194549420x)^y

  • Ledsnyder
  • · Replies 2 ·
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2

Sum of Series $\approx$ Error Estimation

  • ineedhelpnow
  • · Replies 1 ·
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1

How to Expand a Complex Function into a Laurent Series?

  • aruwin
  • · Replies 5 ·
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5
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8
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3

Undergrad Function with a removable discontinuity

  • OceanSpring
  • · Replies 11 ·
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Curves defined by parametric curves

  • ineedhelpnow
  • · Replies 10 ·
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10

Fastest Route to Reach Blonde on Beach: 400/3 m

  • leprofece
  • · Replies 6 ·
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6

Finding the Coefficient in a Power Series Sum

  • aruwin
  • · Replies 5 ·
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5
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8

What is the Radius of Convergence for zsin(z^2)?

  • aruwin
  • · Replies 7 ·
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What is the area of the region between two parametric curves?

  • ineedhelpnow
  • · Replies 18 ·
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18

Calculating sin ( 0.5 arcsinx)

  • Dethrone
  • · Replies 4 ·
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4

How do i determine if a sequence converges or diverges

  • ineedhelpnow
  • · Replies 19 ·
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19

What is the Area of the Region Bounded by r=sinθ in the Sector 0≤θ≤π/2?

  • ineedhelpnow
  • · Replies 3 ·
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3

Simplifying the inverse Laplace Transform using the inverse shift formula

  • Drain Brain
  • · Replies 9 ·
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9

Find Area of Rotated Curve: $x=cos^3(\theta)$, $y=sin^3(\theta)$

  • ineedhelpnow
  • · Replies 3 ·
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3